Chemistry-
General
Easy
Question
Allbutoneofthefollowingcompoundsreactwithanilinetogiveacetanilide.Whichonedoesnot?
![](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/906366/1/4590109/Picture116.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/906366/1/4590110/Picture117.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/906366/1/4590111/Picture118.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/906366/1/4590112/Picture119.png)
The correct answer is: ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/906366/1/4590111/Picture118.png)
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Chemistry-
Choosethebestsequenceofreactionsfortransformationgiven.Semicolonsindicateseparatereactionstepstobeusedintheordershown.
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)
Choosethebestsequenceofreactionsfortransformationgiven.Semicolonsindicateseparatereactionstepstobeusedintheordershown.
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)
Chemistry-General
Physics-
PQRS is a square loop made of uniform conducting wire the current enters the loop at P and leaves at S. Then the magnetic field will be
![](data:image/png;base64,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)
PQRS is a square loop made of uniform conducting wire the current enters the loop at P and leaves at S. Then the magnetic field will be
![](data:image/png;base64,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)
Physics-General
Physics-
A uniform wire is bent in the form of a circle of radius R. A current I enters at A and leaves at C as shown in the figure :
If the length ABC is half of the length ADC, the magnetic field at the centre O will be
![](data:image/png;base64,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)
A uniform wire is bent in the form of a circle of radius R. A current I enters at A and leaves at C as shown in the figure :
If the length ABC is half of the length ADC, the magnetic field at the centre O will be
![](data:image/png;base64,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)
Physics-General
Physics-
A vertical wire kept in Z-X plane carries a current from Q to P (see figure). The magnetic field due to current will have the direction at the origin O along
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)
A vertical wire kept in Z-X plane carries a current from Q to P (see figure). The magnetic field due to current will have the direction at the origin O along
![](data:image/png;base64,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)
Physics-General
Chemistry-
Which one of the following is used as a purgative in medicines?
Which one of the following is used as a purgative in medicines?
Chemistry-General
Chemistry-
Which of the following is not a fundamental particle
Which of the following is not a fundamental particle
Chemistry-General
Chemistry-
The valency shell electron configuration of an atom is 4s2 4p5 The maximum no of electrons having parallel spin in this configuration are
The valency shell electron configuration of an atom is 4s2 4p5 The maximum no of electrons having parallel spin in this configuration are
Chemistry-General
Maths-
Let
Then f(x) has
Let
Then f(x) has
Maths-General
Physics-
In the figure shown there are two semicircles of radii
and
in which a current i is flowing. The magnetic induction at the centre O will be
![](data:image/png;base64,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)
In the figure shown there are two semicircles of radii
and
in which a current i is flowing. The magnetic induction at the centre O will be
![](data:image/png;base64,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)
Physics-General
Physics-
In the figure, shown the magnetic induction at the centre of there arc due to the current in portion AB will be
![](data:image/png;base64,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)
In the figure, shown the magnetic induction at the centre of there arc due to the current in portion AB will be
![](data:image/png;base64,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)
Physics-General
Physics-
The magnetic induction at the centre O in the figure shown is
![](data:image/png;base64,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)
The magnetic induction at the centre O in the figure shown is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP4AAACgCAYAAAAsEtHWAAAgAElEQVR4nO19a3Bb9Zn+o3MkHV0t2ZLtWHYcKQFsLgkJNZeNU4hhSEJ3G5LuZpfbbmDZaZt+ALLdId0uM5RZ+mHZpUB3hu4HpqE72xKG6TilhQ1Xp5sLhJgSnAvOzXYcy3FsyZZ1sXR0/X/w/3058iXxRbIl+zwzmdiyLZ8j6/m97/u8N00mk8lAhQoViwrCfF+AChUq5h4q8VWoWIRQia9CxSKESnwVKhYhVOKrULEIoRJfhYpFCJX4KlQsQqjEV6FiEUIlvgoVixAq8VWoWIRQia9CxSKESnwVKhYhVOKrULEIoRJfhYpFCJX4KlQsQqjEV6FiEUIlvgoVixDa+b4AFTOHLMuIx+M4duwYDAYDJEkCAIRCIQBAPB6HLMv8fcqfAQC9Xg8AkCQJer0ekiTxc1gslqyvWa1WlJSUwGq1zuk9qsgPNOrorcKHLMsIhUIIhULw+Xzo7e1FPB5HOBxGV1cXzp49i/vuuw8AIAgCBEGARqPhj+lxeoyQTqeRyWSQTqeRTqfHPUafp9NppFIpyLIMALBarXA6nXA4HLBarbBaraiurp7Ll0TFLKFa/AKDLMvo7e3lf+FwGKlUClqtFqIoQqvVQqfTQavVIhKJ4Ne//jWef/551NbWAhgluCiKAABRFKHT6fhjURTHET+VSiGVSjHRU6kUALBXkE6nEYvFkEqlEIvFkEwmkUgkEAgE4Pf7Icsykskk/5zH44EkSaiqquKPVRQeVIs/zyCi+3w+XLhwAcFgkF1uIrFOp4PBYOD/DQYDzp49iyeeeAJ/9Vd/hSeeeGLC5w4Gg/B6vejp6UFPTw+HAOS2Axj3/+23337F600kEnwQxONxjIyMIB6PI5FI8KGQSCQ4xLBarfB4PHC5XHC5XOpBUCBQiT/HkGWZ3fULFy4gGo0CAIxGI3Q6HXQ6HUwmE8xmM8xmM/R6fZaVBoCvvvoKDz30EADgvffeg9PpxOHDh3HixAn09PTgxIkTfIjYbDbYbDbU1taipKQEw8PD/DzDw8MIBoMAgEAgwB83NjaitrYWN910E9auXYv6+nom9JWQSCQQiUQQi8X4/2g0mnUQuFwuOJ1OuFwueDyenL2uKqYHlfhzAFmWcfr0aZw5c2ZSohsMBpSUlMBgMIz7eVEUodfrodVqcerUKdx///0YHh7GTTfdBADo7u6GzWbDDTfcgJqaGixduhQ33HADx95KQY7+3BqNhh/TaDT8+fvvvw+v14uTJ0/i1KlTOHnyJADgvvvuw3333YeHHnqIvzeTyfCBMNGhkEqlEAqFrnoQeDwe1NXVqd7AHEIlfp5Alv348eMYGBiAVquFyWS6KtFFUYQkSdDpdNBoNBx/p9NpHD9+HNu2bWPLDABPPvkk7r33Xlx//fV5u5cPPvgAPT09KCkpwV//9V9nCYdjhUSNRoNkMoloNMpxPyGVSmFkZASRSATBYBCJRALhcBjRaBSyLMPj8cDtdqO+vj5v96JiFCrxcwyv14uuri50dHRAEASYTCZIkgSr1QqHwzHOdR9LdIqVSXjLZDLIZDLo6enBt7/97SzSA6Ox+b/8y7/gW9/6FgCw5SXBLZlMZj1vMpnkn9VqtVn/6HqAUZFQq9UinU7DbDYjk8mwUDgZtFot/5woinwgJJNJFgaViEQiCIVCCAQCSCQSfCgkEgmsWrUKbrdbzRbkCSrxcwCfz4fOzk5cuHABsizDaDSyCGe321FSUsJkvxrRSV0nZDIZCILAqvqFCxfQ1taG3t5eeL1enD17Fv39/QCABx98EPfcc09e79VgMMBisUAQBOj1+iseCpMdBKlUCpFIJOteQ6EQgsEgHwKUwtRqtairq8OqVavUGoIcQiX+LOD1evHJJ58gEonAarVCFEXOa5eWlo4jO1nQRCJxRaJnMhlEIhEMDQ0hFotdUVSj50smkzh58iQMBgNqa2snzccr/9xjXXZ6DEDW4zqdjlOJV4LT6YROp4PRaIRer2fvgUAHgU6n44xFKpVCOBzOui7lISDLMqLRKMLhMFwuF+rq6tRQIAdQiT8DEOETiQS78mTZKWbXaDQwGo3QarXIZDKc8pqI6GThhoaGEI1Gx7nESnJTIQ0dHDqdjgtqqMIOAFfiKavzlJ8Dk1f2AV9X/4XDYQSDQS4gIqGRagIkSZr0UDAYDCgrK4Ner4fBYMg6CMgToENAEAR295Xw+/3w+/2sB4RCIZSWlmLlypXqATALqMSfIkisUxKerHtZWRkr4yTipdNpJJNJxOPxLEtLFn1kZASDg4NMMILykCAFnMhNOoHT6eTP51oJp+pBn8837lCgTIWy9FcJrVbLB4HNZuPHp3IIhEIh+P1+RCIR9QDIAVTiXwWUijt79izi8TgT3uFwwGKxQKPRQBRFGAwGaLVaTm0lk8ksslNce/ny5SzXnYhOLm0qlUJZWRlcLheT3Ol0ztftTwudnZ1co9Db2wuj0QhRFGE0Gic8CMrKymC1WrkvAPi6wpAOAQBZekAsFoPf70cgEEA0GkUwGITBYEBDQ4N6AEwDKvEngSzLaGtrw/nz56HVaiFJEsxmM6qqqvhNTKk5qmJLJBJZsWoymUQkEoHf7+f8PT03EV0URVgsFrhcLrjdbjidzgWTzx57EJCoOdFBUF5eDqPRmCXg6XQ6zoIIgoBQKDThASDLMiKRCEZGRrBq1So0NjbO6X0WI1TiTwCv14sDBw5Ar9dDp9NNSHij0cjpMSXhKYc9NDSU5caT6x6NRiEIAurq6hYc0a8GOghOnz6NkZERGI1GmM3mcRmBJUuWwGAwwGw2A/i654C8gFgsxloEMKoD9PX1IZFIIBQKIZVKccWhiomhEl8Bn8+Ho0ePcrxqNpv5TQhkE54ENorZU6kUent7s8ieTCYxMjLCZPd4PFi5cuW8xOaFBqp3OH36NJLJ5ISHgMVigc1mg91uBwBOIU50AKTTaVy6dIlDgEAggNLSUmzatElNA04AlfgYdb2PHj3K7qjJZEJFRQWsVis0Gg03x1AhCrmbmUwG4XA4y7pTKi4SiUAQBE5BqQ0qk6OzsxO9vb04ffo00uk0JEmCxWLJyhSUl5ejoqKCP6cDQKvVIh6PcygVi8Xg9XoRi8UQDocRCARU938CLHrik1tPSnR5eTmr9ErCk4UHRskdCAQwMDDAQh3VpSeTSZSVlaGurk5tS50BOjs70dXVhfb2dlgslnEHQGVlJWw2G3sGlLYc6wEEAgH09/dDlmUEAgHV/R+DRUv8idz6mpoaLl81Go1cLacUlGRZRl9fH+faSVhKp9Nwu91YuXJl0ajwhYxQKIT29na0trZyJSTF/ABQWlrKKU2NRpNVDRkOh/lvpoz/fT6f6v7/fyw64l/NrTeZTBAEIauoJZPJIBgMoqenhz+Px+MIBAIQBIFzyYv9zZQvtLW1oa2tDbFYDBaLJesAsNvtqKio4LifQgDg6yIkZfyvuv+jWFTE9/l8OHz4MFKp1KRuvSzLrNIT4cnCZzIZhEIhRKNR2Gw21NXVqe2kc4jOzk60trbC5/PBYrGw6AeMagClpaUc95P7TzUSwGg9wMWLF5FIJDA0NASz2bxorf+iIf65c+fwpz/9iTvlyK0XBAFmsznLraePL1++zKIRKcWVlZVq/D7P8Hq9OHPmDNrb21FaWprlATgcDixZsgTAaPxPdQAjIyPcDEXTiMj6NzU1LbrYf8ETX5ZlHDlyBH19fTAajXA4HKisrOSWWY1Gk9UymkgkcOnSJXYTSRwyGAxYtWoVVq1aNZ+3o0IBr9eLlpaWcSGAKIpYsmQJ7HZ7VvyfTqcRiUQAjI/9b7zxxkXl+i9o4vt8Pvzxj3/kOvCamhpuKTWbzVluPRHc5/MBGM3BB4NBpFIpNDQ0qC59AaOtrQ2tra1Ip9NwOBycBTCZTKiqqsqaV6gU/+LxOC5evIhYLIbBwUGYTCY0NTUtCnF2wRL/1KlTOHHixDjFnjrUqAsulUox4SmOHx4eRjKZhNvtRkNDw6KMAYsRR48eRWtr67g0ILn/Go2GeypoGhAA9PX1cQPQ0NAQGhsbF7xnt+CIT669z+eDwWBARUUF98abzWak02lEo1G28sPDwxgYGAAAHglVWVmJxsbGRXHyLzSEQiG0traivb0dJSUlPD3YaDTC5XLBYDBw7h/4ugEoFouhu7sbsixjYGAAK1asQFNT03zeSl6xoIgfCoXwwQcfcG03ufZKxZ5SdJFIBF6vl139wcFBaLVatctrgcDn82Hfvn2IxWJZ7j9VAFJHpTJ1m06n0d3djUgkwrrOQnX9FwzxfT4f9u/fz110y5YtyxoUEY1Guba+v7+fY/lIJILh4WFcd911WLt2LT755BOsX79+Wr9bObF2LFasWIHvfve7ePzxx+FwOGZ1jyqmj0OHDqGtrQ12u53bf41GI5YuXcrdf5Ikcfk1MCoa0rhxWZaxefPmBUf+BbE0s7u7Gy0tLZAkCQ6HA263G6Io8jy4kZERFnPOnDkDn8/HVn5kZAR33XUXmpqaIEkSN3e8/vrrU/79Pp8PO3bsAADs2LGDawAOHDiAwcFB7Nq1Cz/72c/ydfsqroDGxkZs27YNqVQKly9f5u7JM2fOwO/381IQjUYDq9UKQRBQXV2N8vJyDhXeeusteL3e+b6VnKLoiX/q1Cl89tlnMBgMLOJQqo763pPJJAYHB3H27Fmuu+/r64Pdbse2bduyXPvVq1cjEAjgsccew5o1a6Z0ACgt+Z133skfr1u3Dj/60Y8AAJ9//nkO71rFdOB0OvHII49gxYoV6Ovr45ReX18fzp8/z+SnicKiKKKiogLLli2DJEmorKzEH/7wB7S3t8/zneQORU38P/3pT2hvb+ddbUuWLOHhGDSkMplM4vLly7h06RI31wSDQdxxxx0TVm0pq8GOHTvGB8CxY8eueC1Hjx4FANx2221Zj9PmGuXzqpgfNDU1oampCSMjIxgYGEAmk0EsFkNHRwcP8kilUrz/wGKx4Nprr2WR+ODBg2hra5vv28gJijbGP3z4MC5fvgxJkuByuVBSUsKTbCmej8fj6Onp4dSd3++HzWa7qmBTWlqKQCAAAFi/fj26urrQ1dWFRx99FM8++yzcbnfW9/v9fjidTpSWlmJwcJAf7+joQENDA4aGhnDs2DHcfPPN+XkxVEwLsiyjpaUFFy5cQHl5Odf219bW8qwEvV7PYUEymcSFCxf4wLj55ptx6623zvNdzA5FZ/FlWcaHH36IgYEBSJKEpUuXMulFUWSXbXh4GF1dXbylpb+/H9dff/2UhJrVq1cDGCW93W5HZ2cnMpkM7r//fuzfvx9dXV1Z33/kyBEAwIYNG/ixPXv2oKGhAWVlZXjnnXdU0hcQJEnCpk2bcMstt2SVZXd3d/MGYFmWodVqYTabodVqsXz5clitVlRWVuLkyZP43e9+N893MTsUlcWXZRkfffQRT571eDwwGAzcQhuPx9mdJzEmHA4jFovhG9/4xpSLMnbu3Im9e/fiiy++wJo1a/DSSy9hy5Ytk37/Cy+8gF27dmU91tDQgB/+8Id44IEHZn7DKvIOr9eLt99+Oyvnb7VaUVtbC1EUYTKZshT/rq4uRCIRDA4Owm634/7775/Py58xisbiK0lvMplw3XXXwWAw8LBLEvEGBgaY9DSGaf369dOqxLLZbHC73bDb7di9ezcee+wxdv0nwscffwwAOHDgAHw+H1asWIHW1tZx8T7hmmuu4XHcL7zwwjReBRW5RnV1NbZt28aFO8BoPYhS9APAir/b7eZ9AYFAoGgtf9EQ/49//CMSiQQkSYLH4+HTmJZRpFIp+Hw+9Pf3I5PJwO/3Q6PRYOPGjdNex7x69eosd//RRx/FY489Nun3v/feewBGVXyHw4Hnn38eAPDjH/943Pdu2rQJzz//PKf7du3ahYMHD07r+lTkFk6nEw8//DCsVisuX77M3Zlnz55FJBLhSk+z2QxBELBixQom/9DQUFGSvyiIf/jwYUSjUXbvKUcfj8e537qrq4vr7fv6+mA2m3H//ffPaOni6tWrs2Lyl156CV1dXdi7d++47yXSbty4kR974IEHsHHjRrz55pvjSH3u3Dl0d3cDGD0oAPCADxXzB0mSsG3bNtTU1ODy5ctsTMi1V5Jfo9Ew+R0OB/x+Pw4dOjTftzAtFDzxW1tbMTAwAJ1Oh+XLl/OiRuqsk2UZPT09nL7r7+/Htddei82bN8+4ucZut4+r3mtubsZjjz02Ttij/fF333131uPPPPMMgFG9QIlz587h6aefBjCq+gNQdYACAol+AwMDk5KfFqksX74cBoMB5eXlOH36dFGl+gqa+K2trfB6vdDpdHC73Twqi5ZXJJNJJj3F97fccgtX4c0Udrt9XN7d7Xbj2WefzXL5Ozo68Nprr034HOvWrcPGjRvR2tqKH/zgB/D7/Vlf37RpEzZs2IAi0lYXDW699VY0NjZiYGAAkUhkUssvCAKT3+Fw4LPPPiuaIp+CVfWPHz+O8+fPQ6/Xo7a2FmazmdV7EvIuXLjApO/v78dNN92U92EKTU1NuP/++/Hpp5/izTffzPra2Dz+wYMH8c1vfpM/P3/+PJYvXw6NRoMDBw6wq6+iMNHW1oZDhw7xlB9RFOF2u/m9CIA3/XZ0dHCe/5577pm2rjTXKEji9/X14ZNPPoFWq0VNTQ3sdjsMBgPS6fS8kh4A1/J/8cUXLABOB9dccw3Onz+f9diOHTvw6quv5uoSVeQQUyV/Op3GmTNnkEgkMDAwgPvuu29G+tJcoeCI39fXh4MHD3KNtNPphNFoZNInEgl0d3fPC+kJe/fuxc6dO9HZ2Tlnv1PF/OFK5Ffm+ePxOM6ePYt0Oo3BwUF8+9vfLtiuvoKK8WVZxqeffgpJknhLrNLSFwLpAWDLli1YvXr1OOFOxcIEjeIeGhoaF/NTZ5/ZbIZer8fy5cshCAKsVivefvvtrB1/hYSCsvjvvvsuUqkUV07RhFRy7y9evIhIJDKvpCcEAgGsWbMGu3fvnnb/fr4gyzLvqlf+Uw4gUX6s1+sBIGuXH62vcjqdsFqtBWux5gMTWf4VK1bAbDZDkiQkEgnEYjEe5RUMBmGxWAqyuq9giP/pp59y0811113HQxJoLHJ/fz8GBwcLgvSE/fv3Y+vWrRgaGprz3y3LctYK6ng8ziTPFfx+PxwOBx8ADocDLperoGPXfIPIX15eztN7qYpUp9NxUw95BH6/H7fcckvBzfArCOJ7vV58/vnn0Gq1WLFiBU/RoXlog4ODuHTpEtLpNC5fvlxQo5B37tyJrq4uNDc35/13EdE7Ozu5mUQJg8EAq9UKk8nEnYrA6OYfWimVSqV4lDh9nVZPEdLpNEKhEPbv3w+j0Yiamppx1+LxeOBwOODxeBadV9DW1oZPPvkEFRUV3MjjdrthMpkgiiK/b8+cOcOlwIUm9s078SORCD788EPeLFtWVsZDNJLJJIaHh7mybWBgAA6HA5s2bSqYUdfk8l+tkWemoB1yVJmoBG2PEUUR6XQaiUQCgiCw9VGukxJFEaIoQhC+lnVoeUgqleKDIRqNIpFIcDHUk08+if/5n/+BXq9HIpHgZaFKOJ1OuFwurFq1atFMJN63bx+6u7t5eq/D4UBVVRWvYAuHw0gkErwGfGhoCA8//HDBvG/nnfjvvPMO0uk07HY7qqurYTAYeAJuNBpFd3c3T9ARRRHbtm0rmBeP0NXVhTVr1uCLL74Y16s/E8iyjN7eXrS2tma572azGU6nE2azGbFYjIeOlJSUQKfTQRTFWf/usXj66adx4cIFvPrqqwiFQjy9xmKx8FYaamQBRj0Bt9u9KAaWvvXWWwiFQigvLwcw2vBTVlbGI9/C4TCi0Sg6OjoQjUYhSVLBxPvzSvzDhw/D7/dznKTX63mQRjweR0dHB5LJJL+AGzduLCh3SYmdO3fi2LFjaGlpmfFzyLKM1tZWnD59mslOVWElJSVIp9NXJDp1/I0d/qlc+kneE/3v9XoRDAZRU1ODG264gf+n8OCrr77CX/zFX+Av//IvuZOQ9geOjIwgEonAbDYjmUyOq0+gzUML1QuQZRlvvfUWkskkj19zu90oKSnhClNZlnl45+DgINasWVMQ8f68Eb+zsxPHjx/PiuuNRiOLeaTg05aTDRs2FHw11Jo1a7B9+3Y89dRT0/q5sYQXBAFVVVW8wddgMPBCSCUEQYBGo+GyXxrySQgGgzhy5Ah++9vf4siRIwgGg9x3TvsDAaCmpganTp2C1+vlA6GmpgbXX389NmzYgFdeeQU9PT3493//d3znO98Zd/1+vx9+v59bpml0OWEhHwA+nw9vvfXWuBy/zWbLWtxCxT2XL18uiHh/XogfiUTw/vvvQ6vVorq6GqWlpTwnL5VKobe3F0NDQwWl4E8FXV1d8Hg8U67qm4zwJM45HA4YDAb+flEU2aIr43KCIAgYHh7Gnj170NzcjN7eXmQyGWzcuBH33nsvzyRUPp/yn1arhV6vx5EjRxAOh3Hp0iX89re/zeoefOONN7B27VoAoxqB8hoikQhCoRACgQA0Gg1EUczyAhbqAUDDPBwOB4xGI3uwVM9PKeivvvoK6XQafr8f27Ztm9fXYV6I/+GHHyIajaKkpARLly6FyWRCMpnknfNer5fn3xfbRpOpVPVdifA2mw12u53deCKQRqPhFV+ETCaDZDLJE2Hi8TiCwSB++tOfYuXKlbjjjjtm7CVFIhF89NFHaGlpySJvSUkJfvOb3+D6668HgKxrU0LpBeh0uqzXo6Ghoehn1o3FoUOHcOLECVb6KfWpjPfpvR0Oh1FaWopNmzbN2/XOOfHPnj2LU6dOQafTob6+Hnq9nhdeUF89DcY0m83YvHlzwYl5V8PWrVtx88034yc/+cm4r3m9Xhw+fBg+n29Swms0GnbjlVZVEAQkEgkEg0EEAgFuG1WCNsRQcQ4p9IlEAsCo+08kpe+jRaIajQZtbW34v//7P+zbt4/jd/oHjApYS5cuxTPPPJPljQiCwBkD5SEw2QHgdDrR0NBQ8OHbdEBKf1VVFYDReL+srAx6vZ6zVO3t7QXh8s8p8WVZxnvvvQeNRoOamhp28UdGRng99fDwMIt5xbrBJBAIwOPxoKWlhV3+sVa+oqICNpttQsILgpBl3TOZDEKhEHw+Hw+GBLJJTi72lUaETQU9PT0wGo0wmUwwGo3weDzcK0Fz5wgkPJaVlWW5/Dqdjr0RAh0AgiAgEAhwm3J9fT3Wrl1bdIf7RCCxTxRFWCwWiKKI+vr6rPw+ufzkqT3yyCPzcq1zSvyDBw9iaGgIRqMRK1asgNFoZBd/aGgIvb29vPHkz/7szwpC/ZwplFV9tMc9FArBYDBg+fLl0Ol0KC8vn5TwgiAgFoshFAphYGCALbsoirBarUilUrh48eI4MpI2QCW3Vqs1a0mkMq4k1TkUCgEYfeP6/X74fL4JC4QAYNmyZbBYLJx5Idjt9nGaxEQHAJWzWiwWnD17FqlUCpIkoampaUFYf4r3KysrodPpYLVa+TVLp9NczdfX14dAIID6+vp5CXvmjPhDQ0M4cOAANBoN6urq2FJFo1HEYrEsF7+0tLRg8p2zARH/7/7u75BIJFBVVQWbzYby8nImiFarzYrfqTfh4sWLWdadXG2KEQlOpxNut5t3C+RaMOrs7ITP55uwgIje0LQ0BBj1ApxOJ2w2Gz9GgiKFG7FYDF6vF7FYDIIg8CiyhRL7j3X5a2trUVZWBoPBwA1m5PldvnwZDz744JwLfXNG/H379iGRSMDpdGLJkiUwmUxcJbZQXHwlZFnGH/7wB3zve9/Dgw8+iO985zuwWCzs1pOKTiPBgVEL3N/fz0QSRRElJSUYHh5mcpBF93g8cLlcc/o6ybKMzs5OdHV1ZYl1NpsNS5Ys4fVkwOhB5XK5WGuga08kEhwWkOXT6XTo7u5GKpWC0+mccMNRMWFsfp+aeUpKSqDVahGJRCDLMpf06nS6OTd0c0L8EydOoLOzk9MctJ00Ho/zH3+huPgAslz7ixcv4j//8z/R0tKCsrIyaDQa6PX6rJr5dDoNn8/HpbDkznd1dbF1t1qtWLVqFerq6gomHm5ra0NbWxuHCgBw3XXXZVXyWa1WuFwu7gugQ4/CBBqqkkwmEQwGMTg4CEmSCrpYayogl5+aecxmMzweT5bLf+nSJQwODsLv9+Ouu+6a01An78RX1uIvW7YMNpsNBoMBIyMjCIfD6Onp4Xl5LpdrXlMcuUB7ezsOHz4MWZZRXV2NiooK/Nd//Rfa29vx1ltvQRAEtvIk2pG2QdODu7u7EQ6H2bo3NjZmtc4WGsgLUM6bG3sAlJeXo7Kykr0bWlFF1p9if6Xr39TUVNSlv5Tiq6qqgkajQW1tLRwOByRJQjQaRSqVwokTJ7gR7Uoj3HMN8ScT5ZxyiEOHDiGRSMBqtaKiogIGg4GHaly6dAmyLCMcDiOZTKKpqQkmkymfl5NXtLW14ciRI0gkElixYgXKy8tRXl6Ou+66C6+//jrKy8tRW1sLYNTK9/b28h4Aq9WKwcFBdHd3Ix6Pw+Vy4d5778Utt9wCk8nEFrMQUVpaCo/HA4/Hw94L9aNXVlYimUxiZGQEwWAQVqsVoijyQafVapFKpWCxWGA0Gnm0Ga1Ao0lMxYja2lq0t7cjEonAZDJx/p4aqBKJBIxGI4LBIDKZDIaHh/n9kW/klfgDAwM4f/487x7T6/XIZDKci/b7/UilUhgcHMTtt99e1Kou9WlnMhnU1dWhqqoKJSUl0Gg0kCQJ69atw/bt2/Hnf/7n0Gg0vNePUnKnT59GNBplr4cIX0wwmUzjDgBy3S0WC2KxGKfxyOXNZDKQJAnJZBKSJMFmsyESicBmsyEYDLL1L1a33+Vy4csvv4TRaOQeCovFwqKuVquF3++HVqtFR0cHh8L5Rl6J/9lnn9RswkwAABrWSURBVCGRSPAwB7L2yWQSly5dQjKZRCAQQHV1dVGU5E6Go0eP4siRIxBFEddddx1cLhcv8dTr9YjH47BarTAajXjllVfwjW98g618X18f+vr64HQ6ceedd+KOO+4oOsKPBR0ALpeLy68HBwdRVVWFRCLBzT20q45In8lkIIoi7HY7hoeHYbFYMDIygp6eHoTD4aI0DGTpe3t7YbFYIMsyLBYLz0sgb3hwcBCCICAYDM7JfeZt5t7AwABCoRBEUeScJim6wWCQF2CMjIxg5cqV+bqMvOPo0aNobW2F2WzGtddei5qaGuh0Ou6ek2WZ49q1a9cimUzi97//PYxGI7766iuEw2HU19dj8+bNRfnGvhKqq6vxyCOPsFh7+vRpDA0Nwe/3IxKJ4Ny5c4jFYgDA22lpZgAtRHW5XNDpdGhvby+6bTWEtWvXIpFIcFzf39/P2Q+9Xs/zE8xmM86ePZslluYLeSP+iRMnoNFoYLPZWMlOJBJ848DXFW7F6sa1tbUx6Wtra1FTUwNRFLOyFpSjb29vRzwex7/+67/i17/+NVpaWnhd82wXgBQ6GhsbsW3bNvT09OAf//Ef8dlnn8FgMCCRSOD8+fP8RielX6fT8YJKk8mEyspKSJKEtra2ollYoYQkSWhoaOARbYFAgAd1UI0DHfolJSVobW3N+zXlhfjUpSWKIneEkZJNXXd04jU0NOTjEvKO9vZ2tLa28mqv6upqjtcpVScIAoaGhnDu3DmkUimYzWYMDQ3hb//2b/Haa6/h4YcfXnBWfiIEAgH89Kc/xauvvgq/3w9JknDu3Dl29bu7u9kYpFIpZDIZzv/X1tbCbrfz+6ilpaUoyb9q1SqYzWZOz3q93iyrT17iXFn9vBD/s88+g0aj4eYPcvMTiQSLO4FAAHV1dUVZqOPz+XD48GEkk0l4PB5UVlZOSvqenh6eHHz69GnEYjE8/vjjWLt2LX70ox/N963kHfv378eaNWvw8ssvcx8BHfanTp3iLsSBgQEmP6X5iPw0mamqqgqiKKKlpSWr378YQFY/GAwinU4jFoshGAxyAQ+t4wLmxurnnPhk7YHRPxiRPpPJ8JTccDgMQRCK0tr7fD68/fbbSCQSuPbaa1FbW5tFepp7R6Qnge+rr77imvRbb70Vu3fvxt69e7F///75vqW8IBAIYOfOndi6deu4RaONjY3YvHkzAODChQvs4k9EfnKF3W439Ho9qqurIQgC3n777XElxIWO+vp6mM1mPgC9Xi+XMZPYZzAYuJYjn1Y/58Qna2+z2SCKIhM/EonwHyoUCmHlypVFF9fKsoyWlhbO07tcrquSXhRFdHR0MOmpIMVut2P37t3YunXrrDvqCg3UoNTV1YWXXnoJzc3NcLvdWYtIq6ureRhFf3//pOTPZDJZcbBer+fJQfv27ZvjO5s9GhsbMTIywkNOh4aGEI/HodVqIQgC5/ElScprSJNT4o+19pSuyGQy7OIHg0GYTKaiLMttbW2Fz+dDVVUVq82iKHJtgiAIGBwcHEd6q9WKbdu2jYvn169fj0cffXROK7byjUAgALfbjebmZjQ3N+PRRx/F7373O2zfvh2PPvooAPAB4HQ6sW3bNjidziuSn4aRUPWnRqNBVVUVQqFQ0ZGfxpFTP0Z/fz9bfZreQ7H+qVOn8mb1c0p8svZUnUXWntpLaRLJqlWris7at7e3o62tDXa7HcuWLYPBYGD9gt6w1II7lvT333//pE0nL730Erq6urB37965vJ28wW63Z1n3/fv3Y+/evXjqqadw11138fcQJEnipqyx5CdPKB6Pcxys1WqxdOlSiKIIk8mEzs7OohP7mpqa2OonEgkMDw+zLjRXVj9nxKdqPABYunRplrWnXC1NdKmrq8vVr50ThEIhHD58GDqdDm63m0ksSRLn6TOZDC5dugRgdBrNVEhPaG5uxmOPPTYuFl4IeO655/Dss8/Cbrdj/fr1E84inIz8Xq+Xx3nHYjFIkgRBEGA2m3kACCn9xRTv06wEsuY0oQgYVfipgMtoNOL48eN5uYacEf/UqVMQBIH33VETBnXdAaPEL6TusqlAlmV8/PHHSCQSuOaaazgLYTabmfQajQanT59GKpViKzRV0gOjwtWzzz67oFx+AOzFKF38yfYMjiU/FT1dvHiRDQeRHwCWLFkCs9mMJUuWACi+eL+hoYGbmCKRCKLRKNLpNLRaLdLpNCoqKiAIAkRRzIvVzxnxaRIrTZWhKbDkxtBQyWLrtjp9+jR6e3tRUVGBiooKFvNkWUY6nYYoiujs7OQ8/blz57gwZzo95U899RQCgQBefvnlPN7N3CEQCGRZe8L27dsn/Rl63SRJgtfrZdGUevVJS1Hm+AVBQGVlJUKhENra2vJ+X7kCKfzk0fT397OeodPpUFFRAWDUwOTDE8wJ8QOBAFKpFDQaDXcfkesyODgIAAiHw3C5XEU1YCEUCqG1tRVGoxHLly/nuJ7GSVGzTSQSgcFgwIULF5BOp9HU1DSj+oSWlhZezFHsePnll+F2u8dZ+KuNHbdardi4cSMA4Ny5c1zhd/HiRQDgWJjEvqVLl0Kn08FoNPLmoWKBx+NhkS8UCiEcDnP9AmUzJEnKS2ovJ8Q/fvw4NBoNd6PR7LhwOMyWMRqNFl1NfmtrKxKJBK677rqsuJ5i0FAohGAwCFEUcenSJcRiMaxatWrG1Xh2ux3Nzc3YunVrzu5hPtDV1YVf/epXePbZZ2f089XV1TxSvaOjA0B2xohcftpLT/P+ZFkuqnr+hoYGHsqRSqUQDAY5O0T9CsDoYXilce0zQc4sPjAad5GoB4y39sVUk+/1etHe3g6Hw8G70WgtEsX1FN7E43FEIhHU19fPustwy5YtWL16NXbu3Dnre5gvvPLKK9i+ffuUlopMhvr6etTX13NTF5Bd8CLLMs8tpIq+kpISdHZ25pwk+YIkSaivr+cy3oGBgSyRj0bPm0ymnFfyzZr4Fy5cGH2i/5/a0ul0SCaTnMIDRolfTEo+jcIWRZFTR6IoslgpiiLHnQaDAZcuXYLT6eQNM7NFMVf17d+/H6+//vq014hNBAqZgsEgBEFAKpXiUl0qgCGXf8mSJSgpKeGS3mJBQ0MDN69RQY+yeae8vJxDm1y6+7MmPrliZWVlvK45nU6zYhkOh6HT6YqqGaWzsxO9vb2oqqpCWVkZgNHUCp3GNF1GWZWXy9nwyqq+YsNEgt5sQKPYenp6oNfreTw1MOpp0Wtut9thMBhQXl4OWZaLJrdvtVqzCnrIuwHAI9gBsIaRK8yK+MrcfXl5+YSiHsX2xZTCO378OIxGI9xud5aKTy5+X18fgNE3XjqdxsqVK3Mexqxfvx7r168vKvKPTd/lAlarFY2NjUin01zNp3SJ4/E4q/zLli2DVquF0WjE4cOHc3YN+cbKlSs5ZTkyMsIakl6v58yR0WjkaUS5wKyIr8zdk8tFqTta7yTLclGl8GiOfG1tLc+y12g0SCQSTHpaAkEufr7Kj3fv3o1jx47NuqpPuT577L9rrrkGL7zwAlvRmWKy9F0usGrVKjidTm7uSqVSXCylrHjTarWw2+2w2+1FZfVpVBmFkoODg5wlozJlYDScztU9zYr4vb29AL629jQumhZBRKNRrlIqFrS1tUGSJHaxzGZz1saYoaEhjvFz7eKPBbn8s63q8/l82LFjBwBgx44dXGl44MABDA4OYteuXfjZz342q2udLH2XK1A3HwmqoVAoa3oPWX1qkS4mq08iH3nPwWCQNydptVo2QGRscoEZE1+5iLG0tJSLdgCw9YhGo3C73Tm4zLkBxfbLli3jF1spIlGhDjB6//lw8cciF408DoeDP77zzjv543Xr1vFMgM8//3zGzx8IBGaVvpsKqJ+detkBsNBHVX7FbPWrqqqy3H3ilnK6siRJOctYzJj4Fy9e5JFaANgFi8ViiMViyGQykGUZLpcrJxc6F2hra8uqmqL0HTBqYSKRCERRxMWLFyFJ0px1GL700ksIBAKzcvmPHj0KALjtttuyHidRaTbu+XPPPcdpyHxi1apVPJhSp9NlZY4msvo6nW5OxljlAhO5+4lEgrs/qYQXQE76EmZMfDptqROPRiUr64+dTmfR5O59Ph96e3tRXV3NO80zmQyLKyQsKQW9uRQsZ9PI4/f70draitLSUp7yAoxmZH7xi18AAP75n/95RtdF3Xf5tPYEpdUn8Xgyq2+1WuFwOBAKhYqimk+SJHg8nix3n5aNaLVazi5JksQh9mwwY+LTBTqdTrb2AJj4xWbtOzs7IYoiX7Mytidrr9PpcPnyZV5nNZdwu90zTvEdOXIEALBhwwZ+bM+ePWhoaEBZWRneeecd3HzzzTO6rueeew5PPvlkzgW9yVBfX8/pLwovqYBMWcdfUVHBU3uLxeq73e4sd58GkWi1Wnb5LRbL/BGfCg4AjCvaGR4eLko3//Tp0yxEUtoulUpBEAR2raiDqqGhYV7Sk1u2bIHdbp92I8+JEycAAG+++Sar+S+++CJeffVVnDt3Dt/61rdmdD179+5FIBDIafpuKqBCKSI8aUr0ntRoNDyy2mg0Fk0l30TufjKZZHffaDRCEATudp0NZkT8zs5Oju9pO4iyaCcWixVV0Y7X60UoFOIWT51OxxNQE4kETwzu7++Hy+Wa1/Rkc3MznnvuuWk18nz88ccAgAMHDsDn82HFihVobW0dF+8rcc0113Bx1kSg9N1LL700Z9aeUF1dDafTiVAoBEEQeEcDMPr3Iutot9ths9mKRuSTJAkulysrXAbAE4gobBYEYdbDRmdEfDpxqFqP0nhKN6WYSnR7e3uh0+n4DUztoDQ/j5BOp+f9vmZS1ffee+8BGFXxHQ4Hnn/+eQDAj3/843Hfu2nTJmg0Gpw/fz5LDxiLfKfvroaVK1dygwuArPHcVO7qdDqZNLlKg+UbdXV1bHRCoRAfaFRIBuQmzp8R8UkJttlsvPQQ+Dp/T0sfiwGyLLObTy+scmc9ufm9vb2wWq0F4cWQgj4V8h88eBAAuNUVAB544AFs3LgRb775Jn+dsG/fPhw4cOCKzzkX6burob6+HlarNWtJBZGEDm1BEGC1Wrl5pxjg8Xiy7oPei0rvel6IH4lEWO3W6XQcC1Maj+KTYpmX7/P5stx8mhwEgCuoqBS5kKYHTbWq7+TJkwCAu+++O+vxZ555BgBm1AU4V+m7q4EUfjI8JDjT1FpgdEa9yWSCLMtFMYtfkqSs0vdYLIZ0Og2NRoNMJgObzQZBEDAwMMCewUwwbeJTOslkMrFQRIMpgNEYq5iq9cjNLy0tBTAa36fTaQiCwOLR0NAQV1cVCpRVfZON5+7o6MBrr7024dfWrVuHjRs3orW1FT/4wQ+mXLI7l+m7q4G8L7r/gYEBAMgayU0zInQ6XU7U8LkAzRYAvo7zAfC0IWD2xTzTJj7FSna7HVqtlglPggQRv1jg9/tRUVHBhKeTNpPJcMFOMBgsyOlBV6rqe+CBB1jEA4Bdu3ZxLphAVv8Xv/gFnE7nFcU8wlyn764EKqKKRqPseSpFPnL3zWYzJEnK2+DKXMPpdDLxY7EYezTUHg6MGqjZ1CdMm/h0QeRyUJGB8gVXlogWMmRZRm9vL2w2GwDwnnbg6xQRtRnPt6g3GSYbz71nzx4uQqJ/VPRCWLduXdbXly9fjk2bNuGb3/wmgFE1ec+ePfz9e/fuRVdX15yn764E+ruQvkTuvlLdN5lMPBF5Nu7xXMHlcvF1Kst3lcTXarWz8mC0V/+WbFA3FMX3mUwGqVSKp4jQLvhigM/ngyzLTHyKrWhPOX0PVVUVKpqbm7FmzRqsXr161r0Rk02rpfTd7t27C8LaEyispLmHAwMDcDgcXIsBjPaSDAwMQBAEdHZ2FlTINhFcLleWdiHLMoxGI+fzqRx5Nh2V07L4IyMjbOUzmQx/nEgkkEwmubCnWBT93t5eGI1Gbsgh70Xp5suyXLDWnjAX47lff/31eU3fXQkej2dCd59AG48MBsOs24/nApIkwWq1ZnkxNNxVo9FwIY9y6/R0MS3i0wAKmjYLgAdpAqPW3ul0FozyfTX4/X6uRVAKlCQWUfaiGA4yGnWVj/HcgUAAr7zySkEIehOByqdJZyJvjfosgNGeEq1WWxR1+8DoYUYl45FIhI0STbIGMKv7mRbxiRBGoxEajYYvhohfbGW6Pp+P3XyadgIgq1GCqqmKAc3NzXkZz10o6bvJYLVasywkKeFU7gqAS3iLSdlX6mYUtij782dzP9MiPp0uFG8QUZSNOcUi7AGj91NSUgIgO41Hb6BQKASXy1U0Hkw+xnNTrUChWnuCx+PJqhwFkBXn6/V6HqFWDAKf0+nMmv1A3qgoiixakmA5E0w7xgdGO4SUHXn04gIoqjZcALynjA6xeDzOJ2wqlSr4+H4scj2ee+fOndi+fXtBCXoTgQSxyeJ8s9nMo6yKYc+e1WplLY3uh3Q1wmwEvmkRn04d2lxKwh4N3qCDoBgQCoW4sxD4urNLOWYLQFHVJBByNZ6b0ne5GJWdb1A4NjbOV86uo3RYsQh8yvQyEZ8yaTTjck5cfQKRRZlySCaTHGsVA0KhEFsxKjMGvu5DiEQiRXU/SuRiPHehpu8mw1glnOJ8Ij4wGufPxj2ea5DVB8C7A0nZJ6+bNIzpYsrEV66AVsZOhHQ6XTSxMDCq6BuNRgDIevHIYtCg0GIFVfXNlPyFnL6bDMoGFyI3DbIAvs5GFYPFB0Z1CWXNPkGj0XCImkqlZqTsT5n4VPVFXULUvaa0+DT9pBggyzKro7SaWDkwNB6PF5VQOREmq+q7Ggo9fTcZXC4X//2UYadyLBd5q8UAp9M5zuID2cSnkvLpYsrEpycnkYQuQln0Qgp5sYBePBJMqAiJBKJitviEmczqK/T03WQgoigFMeBr8Zk8vGJx9cdafOKasnR3ph7MlImvHLWlJL6yeKfYLL5ydDGArGYIoDiFvbFwu93TGs9NHkKxWXsA/P4jQYyEWnqvAqNEKZYiHqfTmSXu0ccAsog/k4NsysRXvngTufqZTKaoXGOlej/2ECs2ofJqoPHcU6nqe+yxx4oifTcRSOBTdrYBX/99qXR3bOamUGG1WrNy+UpdbazGNl1MuUmHXA6log98LYYpFxgWA5QWf+whRiuyFhKam5vh8Xiwfv36SV14St81NzfP8dXlDlarlRvGlC3WADgFJssyjxUvBtBAmGXLlnHxHIWnoijy/U4HUyY+naLRaJQbBIBstXGyzq5ChMlkYneJTk+y+AslvlfC7XZzVd9EAxzmc3hmLuF0Onkc11jLTuJeTU1NXq+hv7+fl7LMFpFIBFqtFpIkYWhoiJ+X+DdTV3/abblAtpsRj8d50GGu4Pf78x42KOu4JwpbikmvmCq2bNmCX/3qV3j55ZfHFeVQ+m7Lli3zdHW5gTL3rRSegVHrOBctuTfeeCN+/vOf4/rrr8e9996bs+clKy8IAmfZlJV808GUiU8vIg2kpM9LSkpyTpKamhq88cYb8Hg8uOOOO3L63ITa2tpxcZKy/7mY9IrpYPfu3eNcfkrf7d69e56vbvYYW/QCjBLfZDJxWDoXeOKJJ/DQQw/xeLRcHADKdF5dXR36+/u5dXy6mDLxlblQ5SmzYsWKaf/SqeD555/HQw89hI8++ihnL9xkmMjiL7QYn6Bs5CGX/+WXX8aWLVuKqlhnMii7LOnvabFYAGDOxdrf//732Lp1K77//e+jsbER3/3ud3HffffN+nk1Gg2/PwVBmJFYOW1Vn15E5bjffOE3v/kNAOD73/8+HnroIXzwwQc5/x0Wi4VrE+iNkk6nF6SrT1i/fj1uvPFGLF26FEajES+++GJR1ONPBZIk8XtVmYmaLzQ3N6OxsRGHDh3C9u3bsXXrVvzv//7vrJ9XWUmbV4tPLatk7ZUNLvkEnZqHDh3CkSNHcnpyKqH0YpLJ5IK1+ITa2lq8++67TI5/+qd/wltvvTXPVzV7KP9uZJhmkrf/+c9/jldeeSVn10U4dOgQDh06hCeffBKPPvrorIrebr75Zuzbt29cPcpUMCNxLxaLobKy8oqdQcXwwo1FWVkZ+vr6kEgkFjzxX3/99SyL+OGHH87j1eQO5OoHAgHY7XbeKzBd3HPPPbjnnntmfT2RSASvvPIKPv30UwDATTfdhM2bN+OOO+7AxYsXZ/Xc1LOfV+KTRbTZbDh58iTa2tpw4403Tvr9TzzxBJ544olpX9BYBINBPP300+zm33777XmL+YuprXi2ePDBB/HLX/6SP8+XiDpfCIfD856WVJJeSfhcoaenB8DMSpCnTHza3GE2m3kE10xP06niSi9cvn431UQv5BgfAF588UX4fD68//772LBhQ168s/mAJEnYvHkz3n77bSbGfCAajeK///u/MTIygu9973u8hjzX17RkyRLuQZgONJkpKiC//OUv57S5QfnC3X333TPe3z5T/P3f//2Cd/dV5AeBQKDg6yKmTHxZlrNcw3wiGo3ik08+gcPhmHPC6/V6PP7443P6O1WomGtMmfgqVKhYOJhZvZ8KFSqKGirxFxj8fj9eeOEF3HrrrTyf7dZbb8ULL7xQNCOnVOQfKvEXEPbs2YNrr70WH3/8MZ577jlehvkP//AP2LVrFzZt2qSSX8UoMioWBN54440MgMyOHTsm/Pq//du/XfHrKhYXVHFvAeDLL7/E6tWrsWLFChw5cmTCzsKOjg5uqFL/5CpUV38BYNeuXQBGOxonaydevnw5f/zll1/OyXWpKFyoxC9yfPnll3jvvfcAYMplzMUybFJF/qASv8hBzR8NDQ1XHB6itPLr1q3L+3WpKGyoxC9y0Mqvq00MUh4QKlSoxF8keO211wAAP/zhD+f5SlQUAlTiFzlqa2uv+j3vvvsuWltb0dDQgAceeGAOrkpFoUNN5xU5/H4/rr32WgwNDeH8+fNZ6j0wGts3NTUBAFpbW8d9XcXihGrxixwOhwMtLS0oLS3F3/zN3+DgwYMARg+EPXv2oKmpCbfddptKehVZUC3+AkFHRwf+4z/+A3v27MHQ0BBKS0uxYcMGbNmyRXXvVYyDSnwVKhYhVFdfhYpFCJX4KlQsQqjEV6FiEUIlvgoVixAq8VWoWIRQia9CxSKESnwVKhYhVOKrULEI8f8A1mRt/UhIMXUAAAAASUVORK5CYII=)
Physics-General
Physics-
A current i ampere flows in a circular arc of wire whose radius is R, which subtend an angle
radian at its centre. The magnetic induction B at the centre is
![](data:image/png;base64,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)
A current i ampere flows in a circular arc of wire whose radius is R, which subtend an angle
radian at its centre. The magnetic induction B at the centre is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKsAAACjCAYAAAD1u+50AAAgAElEQVR4nO2daXBb13XH/+9h31eC4KbFoKytkuvUEeXYkrzUlpo4iuPJxGrdD8okjWul007HM/bEacbKpIlrjafRZFpv7YzdmbaRWmecyLYiUoltWpJtSoxdklYsWZQoiqtIgliI5QHv4b1+gO8RwJ0UQADU+81gCAEQcAH8ce455557LqcoigIVlQqAL/UAVFTmiypWlYpBFatKxaCKVaViUMWqUjGoYlWpGFSxqlQM2lIPoNJJJBKIRCIIh8MIh8OIx+NIp9OQJAmiKCKdTuf9feyxx+b1vJlMBhqNpsijryxUsS6A0dFRDA4OYnx8nMQpCMKCnqOnpwerV6+e83HTCTWdTkOv1y/o9ZYTqlhnIRQKYXBwEAMDAxgcHEQymZzyGIPBAJvNBrPZDL1eD47j6D5FUegiyzKuXr2K8+fPz0us0zFZqKIoQqfTLeq5KhFVrJPo7+9Hd3c3+vr6EIvF8u6z2+1wu90wGAwAAFmWIQgCiXEuK5tOpzE4OFiwseYKNZlMwmQyFey5yxFVrADGx8fR3d2N7u5uRCIRut1iscDr9cJkMkFRFMTjcUiSBEmS8v6/yWSC2WyGwWCAXq8nEXEcB47jwPM8OI5DMBiELMtFeQ+5Ql2u7sINK1ZRFHH+/Hl0d3djaGiIbnc4HKiurgbP80gkEshkMnkW1uFwwGq1wmAwQKvVQqfTgef5vAsTKYC86yzoKja5Ql1OgdoNJ1ZBENDV1YXOzk6k02kA2em0vr4eJpMJsVgMiUSCHm+z2WC1WmEymWA0GqHT6aDRaPLEWc4wocqyXPZjnYsbRqzxeBydnZ3o6upCJpMBANTW1sLhcEAURQiCQFbP6XTCZrPBYrHAYDBAo9HQZTqY5ZRlmS6Tgyt2W6lgQq1k0S57sU5MTKCzsxOdnZ10W0NDA2w2G6LRKCYmJgAAZrMZTqcTZrMZFosFOp0OWu3Uj4fjOMiyDEmSkMlkFjStl0MAVMmiXdZi/f3vf4/Tp0/Tv1esWAGbzYZIJIJoNAoA8Pl8sFgssNlsJNDc9BPP8yTOVCo1Y4CUyWQgSRLS6TQEQUAmk6ELC8pkWYbD4Sjum54nlSZUYJmKtbe3F6dPn8bY2BgAYOXKlbBYLIhGoxTt+3w+CpZYkMTgeR6ZTAaCIEyJ/DUaDVKpFOLxOF0SiQREUSRRZjKZPBcg9++GDRuW7oNYZiwrscbjcbS1teH8+fMAAI/HA7/fT5aU53lUVVXRdJ+bxOc4DoqiIJ1OI5VK0XPyPA9RFGlZdXR0FKlUipZPJ4t5Lm677bbCveEbDG657MHq6upCW1sb+ZBr166lNXkAqK6uhtvthslkykvt8DyPdDqdtzql0WiQTqcRiUTQ19cHQRCQSqVmdAPsdjucTiecTidZa5ZvZRe9Xg+NRoMf//jHePrpp4v8aSxPKl6skiShtbUVn332GYCsX2qxWChwcjqd8Hg8cDgcc4pUURTEYjEMDQ1hfHycpvdcHA4HampqUFtbi6qqKoTDYdx0003zHi+z4CoLp6LFOjg4iNbWVoTDYeh0OqxZs4YCJ4PBAK/XC6/XC4PBQD7pZJFyHAdJkjA8PIyBgQEkk8m8ZVOTyYQVK1agtrYWtbW1sNvtdF84HMatt96Kd955B6tWrZrXmFWxLp6K9Vk7Oztx6tQpAIDf74fb7c6L8KuqqmAymSj9xHEcRFEkkfI8j1Qqhf7+fgwNDSEWi+WJqLGxEY2NjbMWnRw8eBCXL1/Gq6++iv379xfrrap8TsVZ1snTfiAQoMDIYDCQcFmxCcuLsiVTjUaDZDKJ3t5ejIyM5C2l1tfXIxAIoLGxcc619XA4jNWrVyMcDsPpdOLjjz+el3V99dVXsXfv3sW+/RuairKs8Xgczc3NuHr1KrRaLW6++Waypg6HA3V1dTCbzWRN2fo+8zsVRcFnn32GoaEhxONxet7GxkZs2rQJfr9/3mM5ePAgwuEwgKxw52tdVaEunoqxrKFQCMeOHUM4HIbH44HP56Mgqrq6Gn6/n1aIctNN7N/BYBDnzp0jcQPA+vXrsWnTJng8ngWNhVlVdh3AgqyryuKoiGWM4eFhHDlyBOFwGH6/H16vFxMTEzAajVi5ciXq6uryhJpIJEiogiCgvb0dH330EQl148aN+Iu/+AvcddddCxYqkLWqAPCzn/0MAPDOO++QdVUpHmVvWa9cuYJjx44hk8mgvr4eZrMZiUQCVqsVDQ0NsFqteQUmzNpqNBpcunQJvb29FFT5fD7cfvvtqK2tXfR4WAbg6aefxt69eym6f/fdd/H1r399TuuqZgMWT1mL9cKFC/jtb38LACQASZJgt9spn8pxHCXxmTWVJAkdHR203KrVarF161Zs2rTpusd08OBBOJ1O8j1zxffuu+/i3XffndV3VcW6eMo2wLpy5QoJNRAI0BKo0+nEihUrYDabAWS//Hg8DlEUwXEcotEoOjo6KIByOp148MEHC1bxtGrVKjz44IPT3nfXXXfB6XTi8uXLqu9aBMrSsl69ehVHjhyBJEl5QnW73WhoaMjzT2OxGDKZDHiex4ULF9Db20vC3bFjB9avX1/UsS7UUqqWdfGUnWUNh8Nobm6GJElYuXIlCdVsNmPFihUwGo0AskKNRqP0xbe3t2N0dBRAVtT33nsvvF5vad7ELPzxH/9xqYdQsZSVZRUEAW+88QbGxsZQV1cHnU4HSZLgdrvzhMqmeyBbRHz69Gkq/duwYQN27NixZGNWLeXSUTaWVVEUtLS0YGxsDFVVVTCbzUgmk3A6nWhoaCChyrJM/qgoijh9+jStQm3fvh0bN24s2XtQKS5lI9bW1lYMDAzA4XDA5XIhkUjAZrNhxYoV5KOyYAoAUqkUTp8+TRmA++67D42NjSUbv0rxKYtFgbNnz+LTTz8Fx3GoqalBIpGAxWLBypUrKepnPiqQXXb98MMPkUgkoNPpsHv37ooR6re+9a1SD6FiKbnPOjo6itdeew1AtmA6Ho9Dr9cjEAjAbrdTHjUSiUBRFEiShFOnTkEQBBgMBuzevbukgZSaDVg6Su4GvPfeewCA1atX0xRfU1OTJ1RWvifLMj744AMIggCTyYSHHnoor75UZXlTUjfgvffew8jICDweD+2Fqq6uhtfrpbY7rGWPoig09Wu1WjzwwANlIVTVSi4dJRPruXPncPbsWQBAVVUV0uk07HY7/H4/9Ypi7XY4jsOZM2cwMTEBjuPwla98pSxzqCrFpSRiFUURH374IQDg5ptvRiwWg16vp0IVID/y7+zsRCgUAgDs3LnzugpRSs3HH39c6iFULCURa1tbG5LJJEX+QNZPtdlsUBQFGo2GIn/WGxUAduzYsejepuWCuoK1eJZcrMPDw+jq6gKQbXoGZPf3M79Vo9Hk1aKeO3cOQNYCqw0ibmyWXKysnU8gEKA8qd/vpz1PrAUPkG3/I0kSXC4X7r333qUeKg4cOEAtK6e77NmzBydPnlzQc/7f//1fkUa7/FlSsZ49exYDAwOwWq3ULMLn88FqtWYH83kVFZBtWhGLxaDRaPBnf/ZnSzlM4oknnsgT18WLF6EoCsbGxvDYY4/h8OHD2L17Ny5dujTv57z11luLMdQbgiUTK1seBbKtJkVRhM1mozQVx3FU0T8yMkJ+6vbt20vazIy5KoFAgJpZeDwePP/88wCunTugUnyWTKydnZ0QBAG1tbXkk/p8vintxQGQn3rTTTdh3bp1SzXEaWFjuf/++/NuDwaDdJ0JWqW4LIlYM5kMBVVsyvd6vXC5XNlB8DztnTp//jySyST0en1J/NTJsEYat9xyS97t//zP/wwAePjhh6fcp1IclkSsXV1dSKVS8Pv9SCQS4DgOVVVVtL+ftYgUBAFXrlwBAHzxi1+ctpnvUtPS0gIA2Lp1KwDg0qVL2LNnD37605/isccew7/+678u6PnUvgGLZ0nUwLpO2+12JBIJeDwesrAajYb23nd2dkKWZXi9XmzevHkphjYn7e3tAPLzo0899RQuXry4oIZsjFdeeaVgY7vRKLpl/eSTTxCPx1FVVUW+qsfjgVarRSQSwTPPPAMgm39lq1T33HNPsYc1L1haaufOnVAUBS+++CKAbFC1GKGqXB9FFyuzqsw/dbvdtFL1b//2bxSosPTPmjVrFtV4ohi8//77AK79eB599FEEAgG88MIL6OjoKOXQbkgWLNajR4+C4zj84Ac/mPOx7BA0VvkPZAMrnU6Hvr4+/OIXv8Df/u3fYnR0lIpU7rjjjoW/iyLx9ttvAwC+9KUv0W2s68qTTz65qOdU86yLZ8Fize0VNRfd3d0AQJbS5XLBbrdDURQ899xzVI968eJFANma1nI40YTB8sJ33nkn3XbnnXdi586daG5uxtGjRxf8nOoK1uJZsFj37NkDRVHwk5/8ZNbHJZNJ9PT0AACdO+VwOMiqnjp1Cnv37sX4+DjtTM0VRal56aWXEAqFEAgEpqxQ/cM//AMA4C//8i8XvNxaDhw6dKhitgHlUjSf9cKFCwCurVYZDAayqocPH8a9994Lu91O1pedqFJqOjo6wHEc/vqv/xpAdok1EAjgpZdeoscw6xoKhbBt2zbs27evVMNdFL/61a/w8MMPl3oYC2ZeqatLly7hqaeewuHDh+FyufDOO+/MmQhnU7vFYkEymYTD4aAp/tChQ/inf/onJJNJygCUi1W95ZZb5lX9f+zYsSUYTeEJBoM4fPhwRboj87KsN910Ew4dOoSnnnoKoVCICqdnYnx8HMPDw9DpdNRRhe2p+s1vfgO73Y6mpiZaAPB6vWWxRWUpKPU2mOPHj+O2226ryFW3BbkBrKCErebMBJvaa2pqIMsyLBYLiZG5AADoNOpSr//fSLz66qv4zne+M+X2kydPYs+ePVRU1NjYiAMHDuTVQJSaBYn17bffhsvlmvNXefnyZQCgvv4Oh4Oud3V14aGHHkIwGEQqlYJWqy1IK8obmbnqbg8cOAAg6841Nzfjvvvuy/v/R48exbZt23D33XdTCeTDDz+MJ598Eo888kgp3tK0LEiszc3NU6qPJpNIJBAMBunYSAAUWJ06dQo2mw319fXo6+sDkLW+NxKF7o69b9++OXO+3/jGNwBccwEmr76xQ+TYjOnxePCTn/wELpcLzc3NZbMAMm+xshTN3XffPevjWG1nVVUVZFmGyWSiTYAffPABmpqaAIA6/t1oVrWQHVkOHTqEVatWQVEUPPvsszhx4gRdf+yxx+j8WCbOf//3f8fjjz8+5XkCgQBcLteUUsdAIADgWjfxUjPvQha29DhX4zMmVovFglQqBbPZTFuru7q68LWvfQ2jo6OQZZnOBFBZHFu2bMGePXsAAC+//DKeeOIJANnVNZaNYXR0dKC9vX2KCwBkRT+ZYDCI9vZ2BAKBssnUzNuysqXHuQqNJ1fNWywWav9z6tQpNDU1YWRkBEDW+qosHmYxDxw4gH/8x38EkBXezp07p0z1//M//4OHH354XnUXwWAQu3btwm233YZf/vKXhR/4Ipm3WL/+9a8DyLoB+/btmzZKjMViCIVC0Ol0VFrH9lv19fWhvr4edrudcqv19fWFeA8lhXWSKRWXLl3Ck08+SRZ2pkPhDh8+PGN7eUYwGMSBAwfwyCOP4PHHH8eZM2fKKsU1p1hTr72G5HPP4dFHH4WiKBj53e/w87/6q2l/ocyqer1eVFdX4+OPP6a+qh988AHWr18PSZKoecWNmLLauXPnrJH7TJeZuP/++/Hss88CuBbt19fX4+TJk5QF6OjowPj4OAl6Og4dOoTvfe97+NKXvoRjx47N+thSMafPKjz3HMS2Nsjj4wCA5Of1p6bvfx+Wn/4077FsehdFET6fD88++yweeOABNDQ04JNPPkFTUxMFVsFgEB9++CHuuuuugr6hcqeQK1+NjY24ePEi+arMWGzbtg07d+6k13rppZdmFd++ffvQ0tKC7373u3j//fcpPmGsWLGiPMSrzIH06afKeCCgjALKKKAEGxqUYEODMgoose9/P++xb775pvL8888rLS0typEjR5RHHnlEueOOO5SRkRFl165dyosvvqi8/vrryje+8Q3lwQcfnOulK4J5fIRF4cSJEwoA5cSJE1NuCwQCeY91uVzKW2+9NeNzAZj1snPnzqK9j4Uwp2XVrFsH+5tvIvHDHwIAzD/+MQAg+sADkD4Puhhse4ry+ZJiU1MT/uu//gsvv/wyzp49i7/5m7/B008/jcuXL+ONN964/l/aDcydd945Zel2utuOHj0Kt9uNL3/5yzM+1+T/U64UrJlwJpPByy+/DI7jUF9fD0VR0NDQQMXGbLlVFEU8+uij+MEPfrAsOgGWezPhffv2weVyzVnSWQkUrESQWVW2ZUWv18Pr9ZKvE41GEY1Gcc8992DdunXLQqjlTjAYxAsvvIBvfvObpR5KQSiYWFkBNatJ1ev10Gq1eVtC7rrrLtxzzz3U10qluBw/fhyBQKCs0k/XQ8HEynKnTIgGgwFarZb6VNntdjz++OMwmUy0DVuluOzZs4cq4JYDBRMr25vFGlPo9XpwHAeHw4GGhgYcOHCAfLVKrV1lrs71oPZnXTwFEyvrU8US2LndVH75y1/ivvvuo8UAti270nA6nTh48OCsj3n11VdnFfViO1+XeqWsHCiYWEVRzH9inqcPuK6uDkC29yqAstrBulCcTif+/u//ftr79u/fj3A4DKfTucSjujEoWPsgZlkZPH/td8Cmf7bLlS3BViJ79+6lVvE/+9nP6Pb9+/fjP/7jP9QzA4pIwS0rE+Z0YmUNhCs9G/D000/j4MGDZGH379+PH/3oR/i7v/u7aa3q8ePHsW3bNnAch7q6Ohw/fnyph7wsKNiiwH/+539iYmICq1evhiiKWLNmDbxeLxRFQTKZhCRJePvttyGKIh566CFUV1cX4mVLxurVq2n7DgCsWrUKH3/88RSxnjp1atp60JMnTy6o+4x6MmERLatGo6H7mEVlbgDbOVDJsK0gjJms6o8/X56e7+0qM1Nwn5UJkud5Eu7kv5XsszL27t2LH/3oR7h8+TJWrVo1Y9/Vjz76aEG3L1dSqRS6urowMDCAdDqdt1WGrXZ6vV6sXbt2xgL/onYRXO7pFmZdZ7KqszE6OgqO4/CrX/2KbguHw1PqWCfvefvWt7415TG57si777475f7J2Ytbb7111nrZgwcPTrl/8kbHyfdPbjg3eZzPP/88zpw5g8HBQYyNjSGVStFlYmICPT09OHPmDH7961/P+JkVzGd95ZVXIAgCVq1aBUmSsG7dOrjdbsiyjHg8DlmWcfz4cciyjEceeaRiFwYmc/fdd+P111+fUay7du1Cc3PzlNtz603nw/79+7F///5Fj7OUCIKAV155BRzHwWAwQJIkSmMC2Zw8x3EQRRF6vR7f/va3p32egrkBOp0OgiDQr1SWZbrO8zxkWYZGo4EsyxAEYdmIdTahAsAPf/jDacX6w89LLudLpQoVuOYiajQa1NTUYMOGDTCZTNT1XFEUdHZ2Ynh4mPpLTEfB3ACWjmIpK+a75t7Ggi5BEAr1siVnrun/jjvuQEtLC2UE7rzzTrS0tJRVH9piw4JvdoLkZLdD+XzLOADaCT0dBRMrW16dzrLSi30uWtb8opJh7Xbcbjc4joPb7Z7xxMH77ruP9vSfOHFi2u3Qy5lcsfI8n5eDB0og1smJfpauApaXZWXblHfv3o0vfOELaG9vh6IoaG9vx8WLF7Ft27Zp9+HfyDA3gAl1shGTZXleC0YF9VknD4AxubiFnSRYaTChXrx4cUrbz5tuugnHjh3DmjVr8Od//ufYsmWLekjG57CZlFnWkrsB7BfBXlSSJLrOBscKs1nta6Xxve99D+3t7XjmmWemLWj2eDy0M+K1115b6uGVLawKTavVUuloLplMZl6WtWBiZdE9C6zS6TRdZ4NjRdcLOZegXDh58iQOHz6MQCCARx99dMbHrVq1CsCNl/SfDSZWnU6XJ1amj1QqRams2bJEBRMri4qZyc8dAPNZ2coEO/m6kviXf/kXAJh3e/NCFGovF3Itq8FgID0wfQiCQNdnq3UuuFjZEULpdJqiQGbimVgnlxNWAuxYzLlSTsyilsvBc+UA25/H3ACmB6aPRCJB12c7Ab3gYo1Go+A4jsSaGwHqdDpotVrIsoyxsbFCvfSSwPzsuRYzmKj/6I/+qOhjqgQmJiYgiiI0Gg10Oh10Oh1pgllTVpUHLJFYNRpN3jZsIOsKMJPPMgFsheLq1auFeumy4ejRo3Qc0WxNJW4kJrsATAe5i0e5/upsh0sXtJCF+RvMgc6d7tkgmGVih19UCqyx7mywwpaf//znxR5OxcD6b+n1ehiNxilizGQy5ALMtRpYULEyE85+Tbnmnf2SWE9W1qCtUvjud78LAPjv//7vae/ft28f2tvb8dRTT6lWNYeBgQEA2RnVYrFMCa5SqRRtJJ3NBQAKfIS7z+cDcC2xm0gkkEql8ooTmFjj8TgEQaiY2tYnnngCly9fxgsvvIBVq1bh29/+NjweDzo6OvDMM8+gpaUFL7744qxprRuNdDpN7h4TK4NljVjwBVzTz0wU1LLW1tYCAAVPiUQCgiBAq9WC53loNBpotVoa9Llz5wr58kXn+eefxy9+8Qv87//+L7xeLziOw3e+8x0EAgG0t7erQp1Ef38/gKxQzWYz9Ho96YC5iJFIhITL9DMTBbWsVqsVLpcLoVAIBoOBTDxrPKzX65FMJuFyuRCPx9Hf319xTR/27NlTHr1KKwB2zlmuWIFrMY0oikin01AUBS6Xa85OPQXfKTD51xGPx8mBZv4KM/eV5reqLIyZ/NXc/Op8rSpQRLGyVSrmCuRSVVUFnuchCAJ6e3sLPQSVMuDq1at0Htpkf5XpIRqNlodYx8bGwPM8kskkUqkUJYNZ8MUCrU8++aTQQ1ApA1hDOJPJRCdMsu+fZQJKLlaz2QyPx4NMJkNZgGg0SgNkYm1oaAAw9SgileXBhQsXAGT14HA46HvPrQdIpVJQFAUej2de2/OLsruVVR7lpicSiURelbjH46HNY11dXcUYhkqJuHTpEpLJJPR6PSwWC2w2G333rHYkFArRdaaXuSiKWBsbGwFko0Ge5xGPxxGPx2n/DbO47NzWSkthqcxOrgtgt9thMBio8JrVOY+Pj5NYmV7moihidbvd8Pv9EEWRkv7RaDRvlyOQPbIGyPq3lVjjqjKVaDRKR3EyF4B93ywLEI/HkUgkoCgK/H4/3G73vJ67aE0u2Fo6ywpEIhHEYjFoNBqysCaTieoJpttop1J5dHZ2AsgK1WazwWw203fOtBAMBmlr03ytKlBEsa5ZswZANoDS6XR5a8DAteorNtje3t68+1Uqj3g8TvGHzWajuCSXTCaDSCRSXmI1mUzUx5RNA5FIBPF4nJbcgKzLwAoYTp06VazhqCwBuVbVbrfDbrdDo9FQ3AIgT6irV69eUGPpova6Yr8adihxKBQisfI8T/4scxlYFKlSeSSTSbKqVqsVbrcbRqORvmtRFKEoCoaGhki4C7GqwBKI1eFwIBQKUR4tGAwiHo9Tdw4gu0DACrdV61qZdHZ2IpPJwGQywWazwel0UmySa1XZFhan01leYgWATZs2Abi2LWR8fBzxeJwqsZhPw/bYX7hwYdrj4VXKl2AwSHvPrFYr+ao8z0Or1SKdToPjOAwMDFCQxXSxEJZErBaLBaOjo2RdmWCBa/6s3++nzMDbk86EVSlv2traAGT7QjidTrhcLvpeJ/uq6XQaVqt1UXvUii5W4NqviOVSg8EgEokEdDodNBoNlY5t3rwZPM9jbGwMHR0dSzE0levk/Pnz6O3tBc/zcDgc8Pl80Ov1tEGQrWJer1UFllCsBoMBw8PDMJvNUBSFFgKYWDmOg9FopIWC9vb2vB6eKuWHJElkVR0OBzweD2w2G4mVdbeemJiggiaDwVDeYtVqtTRA9usaGxtDLBaDoih5S7Br166FyWRCOp3G7373u6UYnsoiaWtrQzweh9FohN1uh8/no6VVRVEoA3DlyhUS7ubNm/POm1gISyJWIDtIo9GIwcFB8l1HRkYQiURoPznb+bhu3ToA2VSWWjdQnnR3d1NelQnVaDTSd8n2Vo2MjFBNs8lkWrRVBZZQrAaDAVu2bAFwbVVrYmIC4XCYinGZ7+rz+ai+8b333svbVKZSesLhMFpbWwFkp3+32w23203fH/s+U6kURkdHKVbZsmXLrJ2t52LJxAoAGzduRF1dHWKxGJUKjoyMIBaLQavV5gVbmzZtgtVqRSaTwW9+85ulHKbKHLS2tiKdTsNsNsPlcqG2tpb8VK1Wi0QiAY7j0N/fT7XMdXV12LBhw3W97pKKFQBZ14sXL8JsNkMURYyMjCAcDk/p2vGFL3wBWq0WoVBI9V/LhPfffx+Dg4PQarVwuVyoqamByWSi7431jAiHw4hGo+Srsu/9elhysfr9fvJb2BsJBoOYmJigAzSYdTWZTOS/fvbZZ/jDH/6w1MNVyeHcuXOUUnS5XKiqqoLdbqdsjiAIUBQFmUyGrCqQnSX9fv91v/6SixUAmpqaYDKZMDQ0RMHW0NAQZQo0Gg3VDdTV1ZH/2traip6enlIM+Yanp6cH77zzDoBsmx+3243q6moYjUaK7pPJJDiOw5UrVxCLxSAIAsxmM5qamgoyhpKIVafTYevWrQCyFtNqtSKdTmNwcBDRaJQiSuaMb968mVa3mpub1X1bS8zg4CAdj2Sz2eB2u1FbWwuDwUDfFbOizKVj7sCWLVtmbb2+EEoiViCbntq4cSOAbP8AvV6PaDSKsbEx8l+Z064oCr74xS9Ssctbb71VcS0zK5WxsTE0NzdDURRYLBa43W7U19fDZDJBr9fn+amJRILSkUA2oF6/fn3BxlIysQLA9u3b4fP5EAwG6fyBq/UO7ocAAAuwSURBVFevIhqNIplMkjvA+rtu3boVZrMZkiThzTffVLfCFJloNIqWlhaazl0uF+rr62G1WqkjYDKZpNNWenp6EAqFkEqlUFVVhe3btxd0PCUVKwB6Qz09PdQIgfmv6XQaWq0WRqORNpzdfvvtMBqNSCaTeO2111QLWyTGxsbw5ptvIhKJwGg0kkW12WwU+adSKQqKL1++TBtDAWDHjh0FH1PJxZr7C8z1X/v7+xGPx5HJZEiwQHbp9rbbboPRaEQqlcLrr79ObWpUCsPAwACOHDlCQvV4PKipqYHD4SCLmslkaHv9wMAAotEouQPbt2+nJiaFpORiBa75NoqiULFLPB5HX18fZQhyBWuxWPJcgiNHjtCOSpXro7u7G0eOHEEqlYLZbIbX60VtbS1V/rMcOFvYGR4epjhDURSsX7+eYpFCUxZiBbLTRl1dHcLhMEKhEEwmEyYmJuhXy1rPsAyBwWDA1q1bqfNcS0uL2oroOjl79iyOHz8O4NrWlPr6ehIqawHFYoWxsTGK/lOpFOrq6ooy/TMKdoR7IRAEAW+88QbGxsZQV1dHfZHcbjdNQ7IsQxRFWn/OZDI4c+YMRaAbNmwo6ge2XDlx4gT92O12+5RgigmVfc7RaBR9fX3UrMLr9eKrX/1qUZtDl5VYgWxF+a9//WvE43GsXLmSDvYym81YvXo1nUkgimLe5sKPPvqIWmi63W7ce++98Hq9S/8GKoyxsTG0trZiZGQEQDbh7/F4UFdXB5PJBJPJBJ1OB0VRaMWxv78fkUiEhGqxWLB79+45zwS4XspOrEA2fXXkyBFIkoRAIEDV5szCWq1WaDQasrCyLIPneVy4cAG9vb0QRREcx2H79u3XXTyxnPn000/R2toKRVGg0+ngcrng9XppZYpZVEmSKMpnFjUSiWBiYgJarRa7d+9GdXV10cdblmIFsqe5vPXWWwCQJ1in00m/eoPBQBaWHRkfjUbR0dFBH67T6cSDDz64oP3py51EIoEjR47QJk6LxUJr/T6fDzzPk0VNpVKU8x4dHcXQ0BDC4TAFvl/5yldod0exKVuxAtmdrr/97W8BXOs0J0kS7HY7raKYzWak02mkUinqpSRJEjo6OigHq9VqsXXr1usq/F0udHV14fTp09R3zOVyweFwoKamBna7nYJYvV6fdybEwMAARf1MqH/6p39KnXeWgrIWK5C1sMeOHUMmk0F9fT3MZjMSiQSsVivq6uqoVE2SJBItkC2GuXTpEnp7e8m39fl8uP322+fVuHa5MTg4iLa2NgwPDwO41uHP4/HA7/fniZSVZQLZz7Gvrw+hUIiEqtFosGvXriWzqIyyFysADA8Po7m5GYlEAn6/H06nE7FYDEajEdXV1bBarRR4SZKEVCpFgZkgCPjDH/6AUChEGxA3btyIW265Zc5zl5YDkUgEHR0dOHv2LIDsLMNa+1RVVcHtdlMrdZZDZampTCZDFVThcBiJRAJmsxk7d+4sSMnfQqkIsQLZXgPNzc0Ih8PweDzw+XwUnVZXV8Pr9dKpIKIo5rkFPM8jGAzi3LlzefUE69evx6ZNm+g0meXE2NgYPvnkE3z66ad0GxOpx+OB1+uFVqsli6rT6ZBMJiklmEgk0NPTA1EUqVbD6XRi165ds55cXUwqRqxAtmFCc3Mzrl69Cq1Wi5tvvpnE53Q64ff7odFo4HQ66UzQVCpFpzCzYovcfktAts1RoQqES83w8DC6urqooS+QDaCsViucTie8Xi+sVit1w2HbidhSKc/zGBkZwdWrV5FIJBAOhyHLMvx+P+6///68gyyWmooSK5Cd5ltbW/HZZ58ByGYKFEVBOp2GwWCA3++nRLbJZCLB5jYyTiaT6O3tpf1fjPr6egQCATQ2NtJuhUognU6ju7sbFy9epIPSgOwqFHORcrs16vV6EmquNZVlGZcvX0YymcTExAQtANx8883YsWPHrIcALwUVJ1ZGZ2cnNXGrrq6Gx+MhK+vz+eDxeMDzPGw2G+VkU6lU3lmyqVQK/f39VOWV+1E0NjaisbGR2naWIz09Peju7s6zohzHkUgdDgecTieJlO1x0+l0yGQy5EZptVqMj4+jr6+PcqrsvjvuuAObN29e+jc3DRUrViAb4ba2tiIcDkOn02HNmjUkWIPBAK/XC6fTCY7j4HA4yDUQRZFEy3EcJEnC8PAwBgYG8iwNkI2aV6xYgdraWtTW1lIgVwqi0SgGBwcxODiIvr4+6skPgGYS1hrd4XDQWJlvyqb8SCRCP0xRFHHlyhUIgoBEIoFIJIJMJgOn04kdO3aUVeakosUKTHULGhoaYLVayTKw5UOj0Qi9Xg+z2QxZlinVlduiSFEUxGIxDA0N0VIiC9IYDocDtbW1qKmpQVVVFZxOJ20rLySyLCMcDmN0dBSDg4MYGhqa0j9Bp9PBbDbTxeVywWw20wII223BOjYmEglyh4DsFpTR0VFIkoRkMll20/5kKl6sjK6uLrS1tZG41q5dS2eDAllXgXW302g0sNlsM4qWHYQbDofR399PZzblBmu52O12OJ1OmnKtViv0ej3tT9LpdLRFJ5PJIJ1OQxRFuqTTacRiMUQiEdq/NN0uCBYUsYter4fX64XFYskLfCaLdGJiglJ5zLKykx0TiQTGx8cBZMXf1NRUtosny0asQDZb0NbWhvPnzwMAJbyZxeB5HlVVVXSIGBMtgDz3gH2xwDU3IR6PIxqNYnR0lAK2XHeiGLDpmwVEer0eNpsNNpsNRqOReqACoAYTbLpnswR7L6xiqr+/H7IsQxAEJJNJyoqsXbsWTU1NJY3252JZiZVx5coVtLW10XLrypUrYbFY8qyVz+eDw+GgqJ+d2izLMjKZDAlxsiXleR7pdBrxeByxWAyJRILcBUmSSOyKokBRFMiynPeXbc/J/cu6gGu12jzBMbeF1UHkbntmY2GPZ7370+l0ni/LcRwikQj6+voAZDMHmUyGGjZ7vV5s2bIFK1euLM6XUUCWpVgZv//973H69Gn698qVK2G1WvN8P5/PB4vFQv0LOI6DxWKhaqNMJpN3menjYsFbOp2GIAhT/p8oinlTMRMmExlrnZQbCE32GZmocy9arRaiKCIej+eNTZZlRKNR2vIzWaRAdpv0n/zJn1znp7x0LGuxAtmuL52dndTxDsgGYTabLc/Sms1mOJ1OmM1m2o3A8zzMZjOJZrIA2a7OYsEOj5gsUCDrtiQSibzX5zgOsViM2okCoKVn5pcC2T4MmzdvJheoUlj2YmWwM5rYQQ1A9iRmh8ORt/MAyGYQbDYbLBZL3rTL9oEx8bLpffKFuQDsMbnXOY4DAJr+c68zceZe2GMkSYIgCFN8ZHbyeCgUyrOazMozkWo0GmzatAmbN28ua790Nm4YsTIEQSDRskyBTqejksNYLJZnrWw2G6xWK/mNk9NUbG8Y8xsVRZnyGCZYJtZcoTIymQx4nieXQRTFaa12rs+cu8oEgA6aCAaDJGq9Xk8iLeaWk6XghhMrQxRFnD9/Ht3d3RgaGqLbHQ4HqqurKS85WTAsNcWWK7Va7RThFQqO42jPWSqVytvuzGB+9MTERF69Q01NDRobG7F27dqCte8pNTesWHMZHx+nZctcS2WxWOD1emEymaAoyozHdbKVI5ZeYuLInd6ZoHmez7O0uVkDWZapMj+ZTOZF9QxJkiioikQiee6Lw+GgZeL5Ht5bSahinUR/fz+6u7vzehYwWEEIC8BYvrJYH6EsyyT8dDqNiYmJKWOyWq1oaGhAY2Mj6uvrizKOckEV6yyEQiEMDAzQevx0R3UaDAY6/Zn1Kc39SCdbztxc62TfluVpBUGg9kmTMZlMqK2tpVagpaotLQWqWBcAW6cfHx+nZdHcabjQGI1GWsZlbSaL0ZanUlDFep2wSiUm3ng8TrUGbN0/9y9bPs39y1ar2Al9rMaALVSoZFHFqlIxlE2vKxWVuVDFqlIxqGJVqRhUsapUDKpYVSoGVawqFcP/A0GPm5ETe2McAAAAAElFTkSuQmCC)
Physics-General
Physics-
An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current of i ampere and the radius of the circular loop is r metre. Then the magnetic induction at its centre will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT0AAACjCAYAAAD4gMkaAAAgAElEQVR4nO2deWxc13X/v2+292ZfOUMOFy2kZLkSaStaqMayLCe1ZNSV0nS13QK2UjRthRaygKJA3RqN0zpAW/waKUDtxH/UKpDCadDArhS3ktNYsmI3kqJGKik1ikhJFJfhcDgrZ32zvd8fg3s4Q1KWLM1Gzv0ABKnhaOY+3jvfd86555wrKIqigMPhcFoEVaMHwOFwOPWEix6Hw2kpuOhxOJyWgoseh8NpKbjocTicloKLHofDaSm46HE4nJaCix6Hw2kpuOhxOJyWgoseh8NpKbjocTicloKLHofDaSm46HE4nJZC0+gBcFYuqVQKsVgM0WgU0WgUyWQS2WwW+XweuVwO2Wy24rtWq4VOp6v4rtFooNPpYDQaYbPZYLPZYLVaYTAYGn15nGWKwFtLcarB7OwsfD4fwuEwiVwmk/nUrxMKheB0Ou/6PEmSSAQdDge8Xi/a2truZ+icFoOLHue+iEQi8Pl8mJqags/nQzqdXvQcURRhMpmg1+uh0+mgUpWiKWzJKYqCYrFIXyqVCiqVCv/yL/+Cvr4+PPbYY/RaxWIR2WwW6XQaiUQCsiwvej+9Xg+v1wuv14vOzk7Y7fYaXT1nOcNFj3PPTE5OYnR0FBMTE0gkEhW/M5vNsNvt0Gq1EAQBhUIBuVzuvt/r5ZdfBgDs378fO3bsWPR7rVZLIprNZhGNRhGPxyueYzKZ0N3djb6+PnR1dd33WDgrCy56nE8kHA5jdHQUo6OjiMVi9LjBYIDdboderycrbCFqtRoGgwF6vR6SJJFQqVQqCIIAACRcgiCQBVgsFgEAv/u7v4sLFy5g27ZteP755/GLv/iLSKfTSKVSKBQKi96PWZPpdBqRSASpVIp+Z7Va0dfXh76+Pjgcjur9gTjLDi56nEXkcjn8/Oc/x+joKKanp+lxi8UCl8sFQRAWuZdarRZWqxWKosDhcECtVkOtVj/wWJ5//nmcP38eADA4OIgDBw7gqaeeQqFQQKFQQDgchiAIiMViiyxLURRRLBYRCoUwNzdHj3d0dKCvrw8PPfQQtFrtA4+Rs7zgoschMpkMhoeHMTQ0RJabRqOB1+uFVqutEDq1Wg2bzQaj0UhWHOMb3/gGjh49WrNxvvTSS3jhhRdgsVgqHs/lcshkMkgmk4hGoxXWoCiKyOVy8Pl8yOfzAEqW4cDAAPr7+yFJUs3Gy2kuuOhxkEwmMTQ0hOHhYRKK9vZ2mEwmyLJMbqdKpYLL5YLZbF4kEhqNBpIkQaMpZUEt3KRgX4qiVGxklP/MXF5BECAIAubm5vCnf/qneP/99wEAn/3sZ/HlL38Zv/zLv1zhIufzeWQyGRIzRiaTQTweRzAYJJdZEASIoohEIgG/3w+gJOBM/IxGY3X/uJymg4teCxOPxzE0NIShoSF6zOv1wmAwVKSb2O12WK1W6PV6isGpVCoYDAYSOeZusi8mcvfL3Nwc/uzP/gw/+MEPKtxaBosNMje63J3O5/NIpVL0/sViEel0GrFYDJFIhF5DFEWkUqkKF35gYAADAwMwm833PXZOc8NFr0X5n//5H1y4cIH+3dnZCb1eT2Kn0+ngdrsp3QQoWUlGoxFarRb5fH6R0C1cSuw55cnITBDZ4+w5QMni0mq1SKfT+Nu//Vskk0k899xz2LNnD3Q6HTQazR3jhIIgLBJAjUaDXC6HZDJJY2NpL4FAgFx4URSRyWQwNTVFr7d9+3Zs2bKlSn9tTjPBRa/FuH37Ni5cuIBgMAgA6OrqgiiKFK8TRRFutxtms5ncR4PBAJ1OR2KVy+WQz+crLLlCoQBZlpHJZGiHlbmcTPTy+Ty5vcy1ZT8DJeHKZDL48Y9/DJfLhS1btkAQBGg0GqrOYG60wWCAyWSCwWCgDYtyVCoV/T+1Wg2VSoVsNks7uoqiIB6PIxAI0LXrdDpks1lMTk4CAFwuFwYHB9HT01PDGeHUGy56LUIymcT58+fx85//HEDJZXU6nWTZ6fV6uFwu2hxQq9UwmUwQBKFCtJhVViwWSeTi8Tjm5uYgyzJkWaZSs6XSSqoBs+J0Oh1EUYQoirDZbLBYLDAajdBoNBVWJ3s+E05FUZBIJGh8c3NzCAaDlGAtSRJCoRC5wg899BAGBwd5vG+FwEWvBRgeHsb58+cppWPt2rXk2ul0OnR0dMBkMgEoCYTZbEaxWEQ+nycBYySTSSSTSQSDQWQyGRK6pSokdDodrFYrrFYrxQXZTi9zV1mNLQBygdn7st1YFouLxWKIxWJL5gQy8RNFEZIkwePxwGazQafTVYgve0+NRgOVSoV4PE6/TyQSmJ6eptfXarW4desW/Tw4OIj+/v4Hng9OY+Git4LJ5/P48MMPcf36dQCluJ0oivShdrvdcDqdUKlU0Ol0MBgMS4odc1cjkQjm5ubo3wtdyo6ODioDs9lsJKTVJpFIIBqNwufzwefzVWxEAPObLHq9HjabDW1tbWS1MhaKXyqVQjabpby+QCAAAJSq4/P5AADr16/HE088QRs4nOUHF70Vis/nw4cffohoNAqNRoPVq1eTK2uxWOBwOGA0GiEIAqxWa8WGAxO7ubk5xGIxhMNhpFIppNPpigRgt9tNIsdy+RoBy79jX0ywgJJo6fV6GAwGuN1uuN3uCve33O1Vq9WIxWJQFAXJZBLhcJiSmiVJwtjYGPL5PGw2G5544gl4vd6GXC/nweCitwIZGhrCxx9/DABoa2uD2WxGNpuFWq1Ge3s7bDYbgFK9rFqtRi6XgyzLJHasHVQoFEIikahoJmAymdDX14d169bB5XLV/+LugWAwiJGREYyOjlbUCOv1ephMJrjdbng8nooNEI1GA1EUodVqUSgUqI43Go3C7/ejUChAp9MhHo9jdnYWAPDYY49hYGCg/hfIeSC46K0gFrqzq1evJiGzWCzweDzQ6XSQJAl6vR75fJ42HgCQVRcOh5FIJMgyFAQB69evR29vL1atWtWYi7tPbt++jRs3buD69etk3UmSBJPJBJfLhY6ODuj1eorrsc0RjUaDdDqNTCaDbDaLmZkZsvo0Gg3GxsYAcHd3OcJFb4WQTCZx6tQpzMzMLHJn3W439Zqz2WzkysqyjGKxiEQigWAwiFAohHg8TpsSGo0G/f39GBgYWPZNO1OpFFWdsBuBKIowm81ob29HR0dHReI1Ez61Wo1oNAqg1DOQuc7l7q7H48HevXv57u4ygYveCiASieDkyZOIRqOw2+2w2+3IZrNQqVTwer20a6rX68mVZbG7YDBIVgzLYRNFkcqyRFFs8NVVF1mWqb6YibvBYIDFYkFPTw9cLhdZfVqtllzeVCoFWZYRi8Xg8/lQLBah0+kQiUQQiURgs9mwd+9e3sFlGcBFb5nj9/tx6tQppFIpuN1uGAwG5PN5mM1milux3Dtm3bHuJLOzs5QKApTSVbZv345NmzateHctn8/jypUruHDhAokcS61ZtWoV1Rar1Wqy+gBQPmIgEMDc3BzUajVVeBgMBuzduxft7e0Nuy7O3eGit4wZHx/HyZMnUSgU4PV6yT2z2+20s2i32ykFhVl4fr+fPrQsnrdu3ToMDg62XM1pPB7H+fPnMTIyAqAU07NYLOjq6oLX6yVBFEWRUlxY0vL09DTC4TCAUrK2z+eDWq3G008/zas4mhguesuUkZER/Nd//RcAoLu7m4L0TqcT7e3tVKpVLnZzc3OYnp6m2B17/vbt27F69eqGXUszMDY2hgsXLiAUCgEo7Wy3tbVhzZo1ZOUxd1en01GZnd/vp/8jCAImJiYAAL/0S7+EdevWNeZiOJ8IF71lyPj4ON577z0AlTu0bW1t1CSA9Y9Lp9MoFosIBAKYnp6uOLBn27Zt2Lp1a8Ouoxk5ffo0/uZv/ga/8Ru/QYcP9fb2wmw2Q1EUqFQq6PV6Slpmri1LYynf2X3mmWe4xdeEcNFbZszMzOD48ePI5/MVgufxeOByuaj2lJVwZTIZzMzMYGZmBpFIBMViEWazGbt37+bnRizBgQMHoFarsXv3bsTjcahUKtjtdnJ32QFGrJyuUCjQ7vfMzAyAeeHTaDTYv38/PB5Pg6+KUw4XvWVENBrF8ePHkUwmK1xar9cLu91OnVGYhZdOpzE1NYVAIEDubG9vL3bt2sU7BS/BsWPHcPToUZw+fRqSJOHs2bO4ceMGAFBqy9q1a+n5zOIDShsc7IQ4YN7VNRqN+MIXvgCr1Vr/C+IsCRe9ZUImk8GJEycQDAbR0dFBfeWYhWexWKAoCll4iUQCk5OTCAaDSCaTAIAdO3Zg8+bNjbyMpiUajWLz5s146623sHv3bnr80qVLOHfuHADAaDSira0NfX199PcvP/AoFotVWHyFQgHT09NwuVzYt28fv9E0CVz0lgGKouDEiROYmpqCy+WCXq+HoihwuVzweDywWq10IhnLJZuYmEA4HEY6nYZGo8HevXt5fOkT+OIXv4jVq1fj61//+qLfjY+P49SpU8jn89Dr9XA4HBWHCrHNDSZ8MzMzCAaDEAQB6XQawWAQnZ2d2LdvX0XTA05jUDV6AJy78+GHH2JqagpWq5UC6g6HAx6PBxaLBcVikZKOw+EwxsfHqT+c0WjEvn37uOB9AkeOHMHY2Bj+6q/+asnf9/T0YN++fTAajSRi165do+RmtjteLBap3M/hcEBRFJjNZlitVkxNTeHDDz+s52Vx7gAXvSbn6tWr+NnPfgZBEOByuZDL5WC1Wit64LGDccLhMCYmJjA7OwtZluFwOLB//36eLPsJjI2N4ejRo/j6179OjRiWor29Hfv374fD4YAsy5idncW1a9doJ7z8YCKTyYSOjg5YrVbkcjk6NvNnP/sZrl69Wpfr4twZLnpNzOzsLM6ePQug1PhTlmUYDAZ0dnbCYDBArVaT4MViMUxNTSEUCiGXy8Hr9WL//v2f+EHmAIcPH8YLL7xQEce7EzabDfv374fX60Uul0MoFMLIyAiJHRM+dsg5mydZlmkD5OzZs5TewmkMXPSaGCZ4PT09kGUZgiBQVxBRFKmsLB6PY2JiokLwnnnmGej1+gZfQXNz5MgRRKNRvPTSS/f8f/R6PZ555pkK4bt27Rqd9cGET6fTQa/Xo6Ojgw5HZyEGNq+cxsBFr0k5e/YsAoEA7HY79Xzr6OigjsDMwmO7tOFwmFzaPXv2rPja2QflXt3apdBoNNizZw+5uuFwGCMjI3TQUSaTQaFQoOalHR0dAEqlana7HYFAgAtfA+Gi14Rcu3aNYj92u52+2+122Gw2qqVNp9OUlsI2Lfbu3cstvHvgwIEDeOGFF/Doo4/e1//X6/XUTiqdTmN2dha3bt2CIAgoFArUbt9ms9HcAaAuLFevXsW1a9eqdj2ce4eLXpORy+UoL6y3txfZbBYGgwFerxcWiwW5XI52an0+H2ZnZ5FMJsn64DG8u3PkyBEA+FRu7VLYbDayqpPJJPx+P53XwXZ0c7kcLBYLHaIuyzJ6e3sBAOfOnatov8+pD1z0mozz588jnU7D4/FQSkR7eztZb4VCgUrLgsEgVVo0S0ujgwcPoq+vD4Ig4Fvf+hZCoRAOHjwIQRDw9NNPN3p4D+TWLkV7ezv27t0LoNSxZXJykuaEublAyTJk8yPLMjweD9LpNM6fP//AY+B8OrjoNRF+vx/Dw8MAQOkorEeeJElQFAXZbBZzc3Pw+/3U4mjHjh1Nk4f3+uuv49ixYwCAv//7v8crr7yC559/Hna7HadOnWro2KLRKA4cOIBDhw7dt1u7FD09PdixYweAUkPXmzdvkgWXzWahKAp1vXG73QDm53d4eBh+v79qY+HcHS56TcSFCxcAlDqnyLIMSZLQ1tZGcTzW1YN1SykWi+jt7W3a0rKtW7fi9ddfp95+zCJqFMeOHYPNZntgt3YpNm/ejN7eXhSLRUSjUeq0wuaNxffa2togSRJkWaZ2XmzeOfWBb/E1CVevXsXU1BSMRiO5ROWdkFlw3OfzIRQKIZPJwGw2Y9euXQ0e+WLYJswf//EfAyjlGLJmm43i8uXLOHr0KN55552avceuXbuoucPs7Cw1Kchms7Sbzqy98fFxFAoFGI1GTE1N4erVq9i4cWPNxsaZh1t6TYAsy3S37+jogKIoVHLGitSz2SzC4XBFHG/37t1NWcR++vRpAMDDDz/c4JGUiEajOHz4cNXd2oVIkkRJzvF4HFNTU3R8JutQLUkSlaYpikLpLBcuXKAYLqe2cNFrAoaGhpDJZNDe3o5MJgNBEOB2u6mMiXVOYS3egVID0Gbth3fx4kVs3boVTqez0UMBUNqtrZVbu5Curi5s27YNQKnd1Pj4OADQQeqsjNDtdkMQhIp5Z/FcTm3hotdgCoUCLXZ2hKDb7YbRaIQgCFAUhQ6iiUajyGazcDqdTdvx+ObNm7hx4wZ98BvN5cuX8c///M9466236vaeTPCz2SydlgaULHpFUSAIQsWmBpv3oaEhCm1wagcXvQYzPDxMKQyyLEOtVsPpdMJsNlMcj8WI2Kll27dvb/Co7wxLuG2GWGO5W1vv/EU2R7FYDOPj48jn87T7XigUYLFY4HQ6oVarK+afW3u1h4teg2GLnJ1C5nQ6IUkScrkciV65W7tu3bqmPsTn448/BtAc8bx6urULWb16NR0MxFKMAJDo5XI5SJJEIQA2/1z0ag8XvQZy5coVJBIJuFwuiuU5HA5ydwqFArlHqVQKarUag4ODDR71J/Paa69BURQ88sgjDR3HmTNn6u7WLmRwcBBqtRqpVAozMzPUhoq5sAaDAQ6Hg2J7LpcLiUQCV65cadiYWwEueg2E3dXZ+QlOp5OaCRSLRciyXHFc4/bt21vuXNr7gbm11aq6uF/MZjO5ufF4HIFAAEAptlcsFqkpAbP22Drg1l5t4aLXIEZHRxGNRmG32ylVwel0wmg0QlEUFAoFRKNRxGIxyLIMURSxadOmBo96efDqq69i9+7d+NVf/dVGDwWbNm2CKIrUeJSlrhQKBSiKAqPRSKInyzLsdjui0ShGR0cbOewVDRe9BsEWdXn3Db1ej2KxSO2JwuEwEokEAGBgYIC3i7oHzpw5g+9+97t3bP1ebzQaDQYGBgAAiUSCDg3KZDI01+zcDWB+PXDRqx1c9BpAKpXCrVu3AIB65dlsNhiNRnJ75ubm6GBujUaD/v7+Rg55WXD79m381m/9FmKxWFN1m+nv74dGo0Emk1lk7RWLRZhMJhovWw+3bt2ixGZOdeGi1wDYXdzr9SKfz0OSpIoeeCyWx6y8/v5+iKLYkLEuB6LRKL7yla/goYcewuzsLO2aNguiKNJNix0MDoDCGoqiQK/XQ5Ik5PN5qlUeGRlpzIBXOFz0GgA7QNpgMAAoBbBNJhMKhQIKhQJSqRTm5uaQTqchCAK5R5zFnDlzBk8++SReffVVEpFmsvIYAwMDdCTk7OwstZdnc24ymWgjg90A2TrhVBcuenUmHA7D7/dDp9NRCoPVaqUzVAuFAmKxGFKpFABg/fr1JI6cec6cOYPNmzfjySefRKFQgE6no9/Vsr72fjEYDFi/fj2AUniDWfEsfUWn05HoybIMnU4Hv9/f8EYNKxEuenWGuSwejwdAqa8a28BgJWfMygNAXXY5JaLRKC5fvozLly/jrbfeQiQSwec//3l0d3fjxRdfBDCf+tFssLlk1h4wX5rG0ldYnz22PviGRvXholdnbt++DQBkmVitVhgMBtrJi8fjSCQSyOVyMJlMWLVqVSOH23TYbDY8+uijeOmll/Doo4/izJkzePfdd3Hx4kUcOnQIQHNaegCwatUqmEwm5HI5xGIxajTK5t5gMJBgs/XB+vJxqgcXvTqSSqUQCoWo3hIoJbCyVBT2YWBWXl9fX8PGuhxgnZDfeust2Gw2Ks9rVtED5uc0nU5TaSETP41GQ8nnsixDo9EgFApRqINTHbjo1RGfzwcAcLlcAEDn1+ZyOarAKI/nNdsuZLNx+PBhvPjii9TDrlz4mhU2p6w0DQDNfy6XgyiKtJHBkpbZuuFUBy56dYQtXrYxYTQaK5qAJpNJKlFyu90kjpzFHDt2DJcvX16UhHzo0KGmFj6XywW3200J6AtPQ5MkiWqv2XcuetWFi14dYYtXpSr92Y1GI+3aFotFEj0AlKvFWUw0GsWrr766ZG1tMwseg82tLMtk1bOkZK1WS2InCAIALnrVhotenUgkEohEItBqtSRsBoMBiqIAKLUcSqVSXPTuAXZQN3Nry2mGetu7US56LK7HqjSAeU9AlmVotVpEIhFKceE8OFz06sTCeB471pGVInHRuzeOHDmCsbGxhvTIqxbloheLxShlpVgsUoUOEz4e16s+XPTqBGsrxGI4RqOxorSs3LXt6Oggt5czT7UP6m4UWq2WDgSSZbnCygNKZWvMxWXrha0fzoPDRa9OsFbvrIuGJEmUqsLjeffG4cOH7+jWLjc+Ka6n0Whog4t1X2Hrh/PgcNGrE9FoFEDpVCwAFVZePp9HJpOhOz4XvcUcOXIE0Wh0Wbu15bA5ZmENYH5tAPPrgz3G1g/nweEN2uoAaxUlCAK5Kzqdju7s+XwesizTAl/OrlstYG7tO++8s2L+Nuw68vn8ItErFotUkZHL5SAIAubm5pDP53lPxSrALb06wO7SFosFQEnwtFotlR+x81BZ4Tyrv+SUYLu1zVxp8WkxmUzQ6XQoFArIZDJQFAWKotCa0Gq1JHxs3XAXtzpw0asDbLGyHTkmekApZy+bzdJdvlmL5RvFkSNHAGDFuLXlsLlmZ6IA8zmc5aLH1g0XverARa8OsMOeWZxGFMWKTYxy15aL3jwrZbf2TpSLXnnzAaC0mVG+XoD5dcR5MLjo1QGWgKpWqwGULD32MzsAmi16trvb6rBmAocOHVpRbm05bK5zuRxtYrFkdbVaTZYeWytsHXEeDC56dYAtaFZWVB6MZqLHLb1Kjh071rCDuutFuaXHGsoy0QPm1wlbNwvz+Tj3B98KqgMLi8pZ3AYABa/ZYi9vQNCqXL58mXZrVzJsrtkaYD8zytcJsHgdce4PbunVgYV36KVEr7zgvJVhB3WvZLeWUd5sgrWNZ+sAWCx63NKrDlz06gC7Q7O7ePliZoLHfld+1kMr8IMf/ACPP/44BEHA448/jj/5kz9Z8W4tg821oigVickMtk7Y2ljqOZxPD3dv68DCnTkWmAZAxeZsYbdS8unHH3+MPXv20L8/+ugjfPTRR/jP//zPBo6qfrC5ZmsAqLT02Dphj3FLrzpwS68OLGXpsZ+ZpccWditZen/913+95OMsN2+lw+Z6KfdWUZRFlh6P6VUHLnp1oPxEe6BS9BZuZLRSTO+nP/3pp3p8pcHmuty9LV8XTPTYuuGWXnXgotcgyhc3h7MQvi5qBxe9OrAwybRYLFLulUqlgkqlon+3kgvzmc985lM9vtJgcy0IwqKcPEEQFsWAWyn0UUu46NUB5sawBb0wLYF9Aa0leq+88sqnenylwdxVlUpFwrZwZx+YXzetFPqoJVz06gC7Q5fHaMrv6Gq1uiWz7h977DG8//772LlzJwBg586deP/99/HYY481eGT1gcXxyi09tkZUKlVFDBjgolctWic/ooEsdF24ezvPU089haeeeqrRw2gI5eWJzNJj6wDgll6t4JZeHVgYiyl3bwVBaFn3ttVhc13u3i4legwe06sOXPTqwMI79FKixxY7KzznrHzYXLM1wH4GKutxGdzSqw5c9OpAebkRUIrllCcq63Q6coF5o8jWgc11+UFA5RsZC3P3uKVXHbjo1QHW7rs8yXSh6LG7OG8U2TqwuS7vkrywzyIwv27YOuI8GFz06gDr+ssWcXmnZJVKVdFJmVt6rUO5pbcwrYkdFgWAvvMGs9WBi14dYKKXSCQAoKJpKADu3rYo5aK3sI1UPp+nmyQ7LY03mK0OXPTqABO9eDwOoCR6bEGz4/60Wi3UajWy2SyJI2flkkgkkM1moVarIUkSbWaUd1Rha4S1ieeiVx246NUBtVoNs9kMRVHIjZFluaJ9fLmLyw92Bm7evImDBw+ir68PgiBAEAQ8/fTT+M53vtPooVUFNscajYZOOyvP52QurVarhaIosFgsLdV2rJZw0asTLB7DFu5C0ZMkiYLZPp+vMYNsEv7iL/4Cvb29AIDvfe97UBQFwWAQa9euxXPPPYeDBw82eIQPDptjnU73iaLHHluJp8E1Cn7rqBPMNYlEIpAkiQ54BkoL22g0QhRFxOPxlha9gwcP4o033sDbb7+NZ599lh53Op14/fXXcfPmTbzxxhvYtWtXxe+XG2yORVGsED126DfL4QuHwwC4a1tNuKVXJ9xuN4D5BNNkMkl3c0EQSPQAYHp6uiUrM771rW/hjTfewG//9m/fUdBefPFFAKXT0pYruVwO09PTAEqit7A2W5ZlJJNJAPPrha0fzoPDRa9OeL1eAEAwGARQ2pFjd/NisUh3fCZ8rWbthUIh/Pmf/zkA4Gtf+9odn9fV1QUAuHDhQl3GVQvKrTyr1UoNB1g+XiaToR3bUCgEYH79cB4cLnp1wmQywW63I5fLkbAlk0m6u7PYTquK3r/9278hEolg69atWLt27V2fv5yTuMtFjyUcs3lXqVRk5YmiiFwuB7vdDpPJ1JjBrkC46NURdrdmsbxkMkl39/K4HtB6onf69GkAqDgoaCmuXr0KANi7d2/Nx1QrlornsUqMQqFAosfWCbfyqgsXvTrCFi9b1MlksqLTBhM9lUqFQCBArnArwFI47hawZ+K4ZcuWmo+pFgSDQQQCAahUKkiSRDG78i475esD4KJXbbjo1ZGFcb10Ok2xm0KhAL1eD6vVSnf/kZGRxgy0SQmFQvjXf/1XAMDv/d7vNXg09webU4PBAI/HA6Bk8TGLP5VKIZ1OA+DxvFrBRa+OGAwGOJ1OFAoFcmPj8Tjl67HAtl6vBwCMjo42bKz15l7ieP/wD/wrVG8AAA+kSURBVP8AAHj55Zfv6fnNCJtTvV5P8Ty2eysIAlXtiKKIfD4Pp9NJN0FOdeCiV2dWrVoFYL75QCwWo9QVlUoFs9kMk8kErVaLRCKB27dvN2ys9eT5558HALz55ptL/v473/kOvva1r2Hr1q147bXX6jm0qnH79m0kEglotVpYrVZybVk8T5Zlqsdl62P16tWNGewKhotenVm3bh0AYGZmBkCpBjORSEAQBBQKBRgMBlgsFrL2bty40bCx1pOdO3fi7bffxo0bN/Dss8/i5s2bAErlaH/3d3+H5557Di+//DJOnjzZ4JHeP2wu9Xo92tra6Gfm2rK1AMyvj76+vgaMdGXDRa/OOBwOtLe3I5vNkosbi8Wo0Fyj0VTE9a5fv05xv5XOs88+ix/96EcAgN7eXgiCgD179mBsbAw/+tGP8Nprr8HpdDZ4lPdHKpXC9evXAZTCHCwFpfzAb2blSZKEbDaL9vZ2OByOxgx4BcPL0BpAb28v/H4/0uk0VCoVYrEY0uk0DAYDVWdYLBZ6fGhoCDt27Gj0sOvCzp07sXPnzhXTWIAxNDQERVHIyis/EEpRFKTTaRI9dpPjVl5t4JbePXLz5k04HA5s27btgV+LLWafzweNRoNMJkMubrFYpA0PZg0MDw9T3I+z/JBlGcPDwwBKSeoulwtAyeJjJ+MlEglkMhloNBrK4+OiVxu46N0jbFetGhgMBqxZswbAfH5WNBqlnD2NRgOLxQKbzQZJkpDP5+lDw1l+DA8PI5/PQ5IktLW10W4t66CSy+UoT5GthzVr1lBcl1NduOjdI4888gjC4TB+8pOfVOX12F2clVOFw2FKXykUCjAajXA4HGTtDQ0NVXRb5iwP8vk8hoaGAJSsPJabZzQa6dD3eDxO3VTYeuBWXu3gotcg+vr6YLPZEIlEaEMjFAqRtafT6WCz2WC1WiGKImRZxpUrVxo5ZM59cOXKFciyDFEUK6w8toGRy+UoCVkURUQiEdhsNi56NYSL3l04ePAgHA4HBEGoenC9v78fwPxZCaFQCMlkEoIgIJ/PU2zPbDYDKHUWqaabzakt8XicusGYzWZqD2UwGMjKSyaTJHpsHbB1wakNXPTuwuuvv45vf/vbAIB33323qq+9adMmmEwmBINBSJIERVEQCoXIjdXpdLDb7bDb7fRBOX/+fFXHwKkd58+fp9xLj8dDZ9syay+fzyMUCkFRFEiShGAwCJPJhE2bNjVy2CseLnr3ACsXevLJJ6v+2uyuziy4UChUUY9rMpngdrtpDCMjIxgbG6v6ODjVZWxsjOpsLRYL2tvbAZTieuV1tszKY/PPrbzaw0XvHvjv//5vAKhJrlx/fz9EUcTMzAwVngeDQbL22KFCbW1t1IFkOTfQbBXYHFmtVvT09ECj0UAQBCo5y+fzCAaDVIfN5p+LXu3honcPfPDBB7Db7XjkkUeq/tpqtZoWOmslFAgEKL5TLBYpHmSz2aDT6RAKhXDx4sWqj4VTHS5evIhQKFQRngBKcT1WeROLxRAIBADMz/vAwACJIqd2cNG7B06dOnXX5pYPwsDAACRJgt/vp9heIBCgFkNAKcWh3M39yU9+gsnJyZqNiXN/TE5OUlqTxWJBT08PgPk4HlBqKRYIBCiWx+adW3n1gYveXfjoo48AAJ/5zGdq9h6iKGL79u0ASocCCYKAWCyGSCRCp2Pp9Xo4HA64XC7azT1z5gyds8FpPJlMBmfOnAFQsuq6uroowViv19NcRiIRxGIxCIJABwRt376dUpc4tYWL3l1g8bxaH8G3ceNGdHZ2IplMkosTCAQWbWp4vV44nU5IkoR4PI6zZ8/WdFyce+fs2bOIx+NUecESkU0mE7m1qVSK3Fq1Wo1kMonOzk5s3LixYeNuNbjo3YXPfvazsNvt+MM//EM8++yz+N///d+avRez9sbGxiCKIjKZDGZmZqi3GjtHo6OjAzabDSqVCjdu3MClS5dqNibOvXHp0iXcuHEDKpUKNpuN+uDpdDoqN8tms5iZmUEmk4EoirQLz+adUx94l5VPIPvOO9j5xS9SiVCtaW9vR39/P4aHh6nZZCAQgMlkQltbW0W/vfb2dsrmP3fuHJxOJ8WPOPVlfHwc586dAwDY7XasXbuWKi5YfqWiKIhGo2Tlsb55/f39lM7CqQ/c0rsDiS99CXO/9mtIffWryP3whwhJEoJaLVJf/WpN33dwcBB6vZ5SGADA7/cjlUpRXa7FYoHH46mI7506dQp+v7+mY+Msxu/349SpUwDm43hsTiwWC1VepFIpmh+WoqLX6zE4ONiwsbcq6q985StfafQgmhHVqlXIfv/7yB4/jux3vwtFliFYLMidPAmoVNA+8URN3letVkOSJIyNjSESiaCtrQ2ZTAa5XA4Gg4EsCK1WC61Wi1wuh2w2C1mWMTExgVWrVlHmP6e2RKNR/Md//AdkWaawA7O2jUYjnX2STqcxMTGBeDwOnU5HXaEff/xxivtx6ge39O6A5tFHYfn+96Hu7YWqvR2mf/xHWE+fhqqzE+n/9/9q+t4bNmygwHZ5943Z2dmK9lNGoxFdXV1wuVzQ6/VIJpM4depURaoLpzak02mcOnUKyWSSGoOuWbMGiqJAq9VWtI2anZ2l7ins+8aNG7Fhw4aGjb+VERR2ojDnnskPD0NTh5yq733vewgEAujp6aFmk2vXroXL5aLs/kQigWg0irGxMQSDQciyDK/Xi2eeeYY+eJzqks/n8d5778Hn80EURbhcLvzCL/wCVCoVNBoNlZopioJgMIibN29CURSoVCqMj4/D7Xbj13/91xt9GS0Lt/Tug3oIHgDs2rULQClQLooiFEXB9PQ0EokEFEWhNBaz2Yzu7m44nU5otVr4fD6899573OKrAel0mgRPq9XC6XRiw4YN1Pq9XPASiQSmp6ehKApEUcT4+DiA+XnlNAYuek1MW1sbfUBu3rwJURSRSqUwOTlZkb9nsVhgtVrR2dlZIXzHjx+njrycBycajeL48eMVgrdu3TqyqNnGBYCKeRJFkeJ4u3btopPQOI2Bi16Ts3HjRjz88MPkKmm1WsRiMUxNTZHwFYtFWCwWOBwOdHd3o62tDaIoIhwO4/jx43xXtwr4/X4cP34c4XCYGoJu2LCBNo0sFktFAvLU1BRisRi0Wi2CwSAURcHDDz/Mk5CbAC56y4AnnngCnZ2diMVi1FI+HA7D5/ORC6soCrWY7+npqdjcOHHiBLlWnE/P+Pg4Tpw4QZsWLpcLGzZsoJQio9EIFhpPp9Pw+XwIh8PUCj4Wi6GzsxNP1GjHn/Pp4BsZy4RMJoMTJ04gGAyio6ODStU8Hg86OjrI4hAEAXNzc0gkEpicnEQwGKQuHjt27MDmzZsbdg3LkUuXLlHisdFoRFtbG9atW0cH+FgsFhK8TCaD6elpOqi7UChgenoaLpcL+/bt46lETQIXvWVELBbDv//7vyOZTKK7u5s+bF6vF263mz5UKpUKc3Nz5GYFAgFqUtnb24tdu3bxD+BdyGQyOHv2LG7cuAGglHjc3t6OtWvXAijdXMpd2kwmg0AgQMc3CoKAiYkJGI1G7N+/HzabrTEXwllEy4jetWvXIIoiTp48WZf3S6fTNT/Cb/Xq1dRs1OPxoL29nd5TpVIhkUggnU5jZmYGMzMziEQi1J9v9+7d6Orqqun4liuTk5M4c+YM4vE4VCoV7HY7urq64PV6USwWoVarK5oIpNNp+P1+svA0Gg3Gxsag0WgadoJdtdffzp07YTKZ6OjS5UzLiB4TO5bcW2sCgQB++MMf4vOf/zwdCFNr2tra0NHRAYPBAKBkbaTTaeRyOQQCAUxPTyMajVI7qm3btmHr1q11Gdty4eLFi9QPT5Ik2Gw29Pb2wmw2U+IxaxMFlDYtpqenMTs728hhL6La60+lUkGtVuPpp5+uwugaS8uUoZ07dw7RaBRGo7Eu72c0GuHxeHDo0CFEo1F0dXXV7L1ZNYDRaEQgEIBOp6NyNVEUoVKpoNPpSAwLhQKy2Sx8Ph9u3boFo9HY8u7X2NgY3n//fYyOjgKYd2fXr19PoQCDwQC9Xo9isQhFUZBKpeDz+RAMBhs59CWp5voTBIF6AK6EmHDLWHrf/va3kc1msW/fvrq+78TEBD73uc8hFovhy1/+Mv7gD/4A3d3ddR0DIx6PI5fLwe/3IxAIYG5ujtpWrVu3DoODg1Qs3yrE43GcP3+eDvHR6XSwWCzkzrK8u/K/S6FQWDZt3au1/k6ePIlcLocvfelLNRhlfbnvlBVBEO74xbrHlnPs2DEIgoAjR44s+t3Y2Ngnvt5SCbaHDx++43u9++67i17jm9/8JmRZvt/LvW+6u7vxwQcfwGq14s0338SWLVvwl3/5l5iYmKjL+5fHlKxWKwwGA7q7u7FmzRp4vV5qjjoyMoK3334bly9fblgcqp7k83lcvnwZb7/9Ngme1WqF1+vFxo0b4fF4UCgUoNVqKxrIZrNZqp9dDlRr/bGmFsvtc3/gwIFFz2u54sxPc1j2N77xDRw9erTqY3jzzTfx5ptv4pvf/Caeeuqpqr/+veBwOOBwODAzMwO/30+7vT/+8Y/x05/+FAMDA3RS20pClmUMDw9jaGiIboKsR2FPTw+cTidtUBgMBqRSKTqkiSGKYl0OXW+m9beSHMKWcW//6Z/+CbIsN2THMhAI4OWXX6YGkps2bcLv//7vN+VOWDQapQaXGo0G/f39GBgYoHjgciWVSmFoaAjDw8NkyYqiSLG7jo4Oyr3TarUwGAwoFot1EbdaMzk5id/5nd+hg6QGBwfxyiuv4OGHH77n1/jggw+Qy+XwR3/0R7UaZt1oGUvPbDZXnEhVL8oFr5nFjuHxeCBJEhKJBDKZDC5duoTLly9j/fr16O3txapVqxo9xE/F7du3cePGDVy/fp2sFUmSYDKZ4HK50NHRgZGRkRVbo3yn9VcsFnH16tV7fh2tVrticjtbxtI7ffo05ubmKHm0HoRCIRw5cgQOhwO/+Zu/uSLy4hwOB7Zs2YK1a9eSZdRsBINBjIyMYHR0lKzWT2IlzMtSMMFzu90PfLONRqOwWCz4whe+UMURNoaWEb1r164hHo/X7ZDsUCiE9957D5/73OdWzIdKr9fjV37lV+ByuRo9lCVJpVL4v//7P8qzA0B5dQaDoaUaL1R7/Xk8HnR3d2Pbtm1VGF1jaRnRqzfRaLTlc984jYOvvzvDRY/D4bQUzRmU4XA4nBrBRY/D4bQUXPQ4HE5LwUWPw+G0FFz0OBxOS8FFj8PhtBRc9DgcTkvBRY/D4bQUXPQ4HE5LwUWPw+G0FFz0OBxOS8FFj8PhtBRc9DgcTkvx/wGtktCcXwp5RQAAAABJRU5ErkJggg==)
An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current of i ampere and the radius of the circular loop is r metre. Then the magnetic induction at its centre will be
![](data:image/png;base64,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)
Physics-General
Physics-
In the following circuit,
resistor develops
due to current flowing through it. The power developed across
resistance is
![](data:image/png;base64,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)
In the following circuit,
resistor develops
due to current flowing through it. The power developed across
resistance is
![](data:image/png;base64,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)
Physics-General
Physics-
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity
. Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. What is the total force exerted by the sphere on the cube. (Take g = 10 m/s2)
![](data:image/png;base64,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)
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity
. Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. What is the total force exerted by the sphere on the cube. (Take g = 10 m/s2)
![](data:image/png;base64,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)
Physics-General