Physics
General
Easy
Question
A particle is projected vertically upwards with velocity .30 ms-1 Find the ratio of average speed and instantaneous velocity after 6s.[g=10 ms-1 ]
![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
- 2
- 3
- 4
The correct answer is: ![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
Related Questions to study
Maths-
Maths-General
physics
A particle moves 4 m in the south direction. Then it moves 3 m in the west direction. The time taken by the particle is 2 second. What is the ratio between average speed and average velocity
A particle moves 4 m in the south direction. Then it moves 3 m in the west direction. The time taken by the particle is 2 second. What is the ratio between average speed and average velocity
physicsGeneral
physics-
In the adjacent figure is shown a closed path
A long straight conductor carrying a current
passes through
and perpendicular to the plane of the paper. Then which of the following holds good?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIwAAABzCAYAAABKBOryAAAQYklEQVR4nO2dX2xT5RvHv3WyFBwMRmQFSTj8EuJBY3YWiBySBc4SkV4QVzCBYohWTaAEIzVqbLxg+GcO4kVHsqVyYboppoNEu+1mI1G73djNbHRcaDsSs06TtcSLdrjk9Irnd7G0bq7bes55255255MQuu6c9zxrv+d9n/d53vO8JiIiGBjkyROlNsCgvDAEY6AIQzAGijAEY6AIQzAGijAEY6AIQzAGijAEY6AIQzAGijAEY6AIQzAGijAEY6AIQzAGijAEY6AIXQgmEAigr6+v1GYY5EFJBdPd3Y2DBw/i7Nmz2LRpUylNAQB8/vnnuHLlCtLpdKlN0S1FF0w6nUZHRwd27tyJkZERdHZ24tq1axgcHCy2Kctoa2vDr7/+iv3796Ojo8MQTi6oiAQCAeJ5nlwuF8Xj8ez7siyTIAgUiUSKaU6WYDBI169fp9raWiIiisfj5HK5iOM48vv9JbFJrxRFMJFIhERRJJvNRtPT0zmPCQQCZLPZimHOEqanpwkAbdy4kY4dO7ZEyPF4nOx2O1mt1hXtXm8UXDCBQIBEUaRQKLTmsTabjQKBQKFNWsLg4CDV1taSyWSiDRs2kMfjyXkMz/PU3t5eVNv0SEEF43K5yGazUTKZzOv4SCRCzz//PMmyXEizluD1eqm6upoA0HPPPbficbIsk9vtJpvNVlT79EZBBBOPx0kUxZx361rU1dXR6dOnC2BVbs6fP08AaMeOHXkNO5kec/HQtZ5gLphgMEiCIOQ1BOXilVdeIZPJRCMjI4wty83evXvpiSeeoDt37uR9TjgcJlEUKRwOF9AyfcJUMO3t7SRJkqa7z+v10oYNG2jXrl0FdzRlWaYnn3ySzp49q/jc6elpkiSJgsFgASzTL8wE43K5yOVyaW4nFApRVVUVAaDXXnuNgWUr4/F46OWXX1Z9fjKZJKvVSj6fj6FV+oaJYDweDxOxEC18CS+99BJVVVXRjz/+yKTNXMiyTBzHafZFZFkmh8NBra2tjCzTNyYibY/K9vX1oaenB4FAgEUcMcuRI0cwPz+Pe/fuMW03Q0dHB2ZmZuDxeJi0d/Xq1SX/Vyxa1BYKhUiSJKbTTJ/PR4IgkNVqLZhTmUwmyWKx0NTUFNN2nU4neb1epm3qDdWCmZ6eJkEQ8o6xrEYymSSPx0MWi4UcDkdRZh+ffvop8TzP/Au2Wq00ODjItE09oUowyWSSBEFgMosZHBwkjuOW5ZeKQTweJ6fTmXckOh9kWa7oKbdiwciyTJIkaf6AZVkmp9NJVquVSS+lhVAoRKIokt1uZ2JLJBIhQRAqMiKsWDBut1tzTiUcDpMgCLob7/1+P4miyKTnbG9vJ7fbzcAqfaFIMJkvWgsej4dEUSzZUoa1yGTWWQwplRjYy1swLMbm1tZWcrlcuu+qM7kwrc7r9PQ08Tyv+79XCXmvuLt27RqOHz8OQRBUTd+7u7uzcQ+z2ayqjWJhsVgQDAZx48YNdHd3q26H4zhYrVZ89dVXDK0rMfmoKh6PE8dxqu8Un89HDodD1bmlxuFwaAr9s4oo64W8BONyuVQtVSBamDaX8xoSFrNClqmTUrOmYLT0LsFgkKxWa9mKJQOLIKUgCBURm1lTMGp7l1Iv7GaN1jXHldLLrJp8TKfT2LlzJ+LxuGJHtRKTcRcvXkRDQwOcTqfic9PpNPbu3YtIJIKtW7cWwLoisZqavF4vOZ1OxSqsxOkkkfZeU4svqBdWFYzacbeSE3Bahqbp6WniOI6xRcVlxThMNBpFOp1WHHfp7e3F1q1bYbVaNfd+esRmsyEWi2FyclLxuRzHwWKxYHR0tACWFYcVBdPb24szZ84obvD69ev46KOPNBmldy5cuICbN2+qOrelpQX9/f2MLSoiK3U9alL+LHJN5YCWYFwkEiGe5wtgVXHI2cMkEgnEYjGIoqhIfD09PXjjjTeYCFnPmM1mXL58GdevX1d8Ls/zABaG/HIkp2D6+vpgs9kUNZROp9HX1we73c7EML3jdDrR29uLVCql+Fyr1YqhoaECWFV4cgrm/v37aGhoUNTQ0NAQBEGAxWJhYpjeMZvNEEURw8PDis9taGjA/fv3C2BV4ckpmNHRUcXD0e3bt1U5yeXMoUOHMDY2pvg8URTLdqaUM9K7ceNGJJNJRdHdnTt3IhwOr5seBgCGh4fxySefIBgMKj5327ZtmJ6eZhL1nZiYwOjoKC5durTqcQMDA/jrr7+yP4uiiAMHDii61rIeZnJyEjzPKxJLKpVCOp1eV2IBFj7wyclJVZWqeJ7X7PhOTExkX7/zzjtrHv/o0aPscXNzczh48OCSNvJhmWBisRg4jlPUiJohrBRMTEzgwYMHzNozm83geV5VEI+FYLxeLwDk3UvYbDbs27cPly5dwscff4zOzk7FQ+MywSQSCcU9RTQazU4X9cjAwABMJhPa2tpw4sQJfPjhh8zaVuuPWCwWJBKJJe/F43F0dXUhHo/j1q1bGBgYyP5uYGAAXV1d2fcePHiAr7/+Ons8AMzPz+PWrVsr3hTj4+NoaWnJ/hwOh1FbW6vI7pyCqa+vV9TI1NQUnn32WUXnFIuBgQF8+eWXmJ2dxQ8//IB79+6hv7+fWU+jdsbz+++/5xwObty4AZ/Ph7m5ObS0tGBgYADz8/NZ36OlpQUTExM5e6e+vj78+eefOHHiRM5r/vLLL/jjjz/Q1dWFU6dOYWpqSnH4ZFmkV82SRJYPgrFkdnaWANA///yz5P2TJ0/S+Pg4k2uoXX5aU1ND+/btW/b+YtuCwSC9/fbb2d9NTU3RyZMnqbOzk4iIFn99K71eTFNTE42Pj1NnZyf19/crtpmI6Ell8sqN2WwueYnSXMOiz+dDW1sbampqlrz/999/F9O0ZcRiMaTTaczMzKx57LZt2zA/Pw+Xy6XpmvPz83j48CEOHDigeGa0GF1UAtfK1atXsX//fuzdu3eJcMfHx3H8+PElx05MTGQ/uFIxNDQEk8mEx48fIxaLLfu91+tFV1cXzp8/D7vdjvHxcUxNTaGxsRF1dXX46aefMD8/j6amJnzxxRfo6ekBsDD8Znycxf7PxMQEXC4X6uvrFc+K/guTHqbUZLK/sVgMw8PDKy6tyNypV65cYXbtXM7rWty5cwePHz8GEWF0dHTZrPTcuXP47bff4Pf7s8K+cOECdu/ejWPHjmF2dhY1NTX47LPP8OjRIwBAZ2dn9vzFrzM0NjaisbERu3btUvonLuW/Y5TZbFbsw5R6wZTX6yWz2UyiKC5Z5fftt99mx+3+/n5qamqiDz74gOm1g8EgSZKk6JxTp07Rpk2baMuWLUvKzI6Pj9O+ffuY28iSZT2MGl9EzV3GEqfTmXOd7blz5zA3N4e2tjbU1dWho6OD+VCUSqUUR2u///57bN++HXV1dctmKZcvX2ZpHnOygkmlUtkdRX7++WdIkqQ4gKdHLl26tGbIXAtqY1BbtmzBM888s+Q9rQ5pMcg6valUCm+++SYA4LvvvlMUvdyzZ09O5209oCazDyz4JIcPHy6ARYUlKxiO47Bjxw4AgMlkgiRJeTciSRJGRkbYW1cGqO1hHj58qDhAqgeWTKtfffVVAEB1dbWicVlLEq7cUSsYNSkYPbBEMKdPnwawIBglmM1mcBxXtssO1aIms7/4XLWVMErJEsGIoojq6mpUVVUpnvVIkqRq9Vk5o/ZLT6fTiMViuk7YrsQSwZjNZty9exdHjhxRnIE9evTouvNj1C56L9feBciRGpAkSdXSw/Xmx0SjUSQSCUWTgwzlsn4oFzlzSWrWeFgsFthstsqqtrQKWh6pGRsbw6FDhxhbVCRyhX9lWSaLxaK4HorWSlXlhMViUfUgm9rPVi/k7GHMZjOsVqvivaQtFgsEQSjbZ27yRcsjNcPDwxAEoXxLfqykJL/fT3a7XbEC18PjsloWjJX7fgQrCkaWZdq6dauq4aUUm30WCy0FHiuhQOKq9WHsdruqfZsrtXR6PB4nQRBUf+Gl2mqZJasKRsvworZ6lZ7RWoK11OuGWLBmUUQt1R8raWjKbGChlkqoPkWUh2DUOr9EbLfJKSXJZFLz/giVUN+OKA/ByLJMPM+r/tLVLGHUE8lkkiRJ0lRjt5LiU3lVAtfqrPl8PrLb7WX3gcmyTDabTbPfUe5T6cXkvZuJ1q1c/H5/2ZWQZ+GkVlpcKm/BsPjDBwcHSRRF3YfFk8kk2e12JvtRV9qeSYo22GK1G5skSboNXoVCIeJ5XlX86b+U8y4uK6F4Cz8Wd0w4HCae5zWLjzVut5tEUWQi5ng8TjzP6743VYriR2X9fj/ee+89Tc8hCYKAUCiEubk5NDY2lrx8VzQaxeHDh1FbW4tQKMRkre3FixfR3t5evknGlVCjMpZT5XA4TKIoktPpLPrdGA6HyeFwEM/zTKtPsBi69Yrqjc5bW1uptbWVmSFerze70XmhS4dk9nESBIGJY7uYSkyJLEa1YIjY50ZkWSafz0eiKBLHcdTe3r6qPxEKhai1tZUOHjy4ZmAtEomQ1+slQRBIkiTmOR1Zlslut9MLL7zAtF29sep+SWuRSqXQ3NyMQCDA/LHaWCyGmzdvoru7GzzPg+M4PPXUUwAWFlGPjY2hpqYGqVQKtbW1SCQSSx73GB4exujoKEZGRjA6OgqLxQJJknDhwgXmC7CHhobgcDjw8OFDjI2N4cUXX2Tavq7QqrhMfKaQ+aK7d+/S008/TQDIZDIRgDX/SZJEbrebBgcHC+YbxeNxOnLkCNXU1JDJZKJz584V5Dp6QrNgiP7dE7GQvkdmSGlubqaNGzfStm3baMOGDQSAdu/eXbDr5kKWZXr//fdp8+bNWYFu37694qbQuWAiGKJ/k3QsAl75EAqFyOPxUHNzM1VXVxetxl4ymaT//e9/VFVVlRXL5s2b6ZtvvinK9UsNM8EQ/ev4VUIafzVCoRDV19dnh8dKyhWtBdMad2azGX6/HzMzM7h48SLLpnVDOp3G66+/jlQqhaamJpjNZvh8vlKbVTQKUhTR4/GgoaEBzc3NFVU3JhqNYs+ePZidnUUikcBbb72Fd999t2wfe1VFIbuvYDBIPM+T2+0uq2UNuQgEAsRxHNXW1q4L53YlClp2VZKkbHny/fv3o7e3t5CXKwiJRAJnz55FT08PRkdHkUgkKi8/pIRiKTMej5Pdbtdt1fD/kkwmye12E8dxRZv5lQNFE0yGzOp7u92uy8Xh8Xic2tvbs8svyn0oZU3RBZPB7/cTx3FktVp1cQdnMtccx5Hb7dbtAq9SoymXxIKhoSH09PRgeHgYDocDLS0tRaudEo1G0dfXh9u3bwNYqJFrt9tVlSBbL5RcMBkSiQS6u7vR39+PaDQKm82G48ePg+d5ZtPWzI72IyMj6Ovrg9lshs1mw5kzZ9bX1FgDuhHMYjJFpu/evYtoNIrJyUlIkgSe51FfXw+O4/LKjmdq7o2NjWFychJmsxmCIODo0aOw2WwVUbi62OhSMLkYHh7OlgmbmZnJKyB49OhRAAsVtdbTFsmFpGwEY6APKmK/JIPiYQjGQBGGYAwUYQjGQBGGYAwUYQjGQBGGYAwUYQjGQBGGYAwUYQjGQBH/B8Y0FdLonOR2AAAAAElFTkSuQmCC)
In the adjacent figure is shown a closed path
A long straight conductor carrying a current
passes through
and perpendicular to the plane of the paper. Then which of the following holds good?
![](data:image/png;base64,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)
physics-General
physics-
A current I enters a circular coil of radius R, branches into two parts and then recombines as shown in the circuit diagram
![](data:image/png;base64,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)
The resultant magnetic field at the centre of the coil is
A current I enters a circular coil of radius R, branches into two parts and then recombines as shown in the circuit diagram
![](data:image/png;base64,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)
The resultant magnetic field at the centre of the coil is
physics-General
physics-
The figure shows the cross-section of a long cylindrical conductor of radius a carrying a uniformly distributed current i. The magnetic field due to current at P is
![](data:image/png;base64,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)
The figure shows the cross-section of a long cylindrical conductor of radius a carrying a uniformly distributed current i. The magnetic field due to current at P is
![](data:image/png;base64,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)
physics-General
physics
Rohit completes a semi circular path of radius R in 10 seconds. Calculate average speed and average velocity in ms-1.
Rohit completes a semi circular path of radius R in 10 seconds. Calculate average speed and average velocity in ms-1.
physicsGeneral
physics-
If Young’s modulus of elasticity Y for a material is one and half times its rigidity coefficient
the Poisson’s ratio
will be
If Young’s modulus of elasticity Y for a material is one and half times its rigidity coefficient
the Poisson’s ratio
will be
physics-General
physics-
Four wires of the same material are stretched by the same load. Which one of them will elongate most if their dimensions are as follows
Four wires of the same material are stretched by the same load. Which one of them will elongate most if their dimensions are as follows
physics-General
physics-
A current
is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure.
The magnetic field at the centre of the loop is
times.
![left parenthesis M A equals R comma blank M B equals 2 R comma blank angle D M A equals 90 degree](data:image/png;base64,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)
![](data:image/png;base64,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)
A current
is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure.
The magnetic field at the centre of the loop is
times.
![left parenthesis M A equals R comma blank M B equals 2 R comma blank angle D M A equals 90 degree](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
A part of a long wire carrying a current
is bent into a circle of radius r as shown in figure. The net magnetic field at the centre O of the circular loop is
![](data:image/png;base64,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)
A part of a long wire carrying a current
is bent into a circle of radius r as shown in figure. The net magnetic field at the centre O of the circular loop is
![](data:image/png;base64,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)
physics-General
physics-
A wire shown in figure carries a current of 40 A. If
, the magnetic field at point
will be
![](data:image/png;base64,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)
A wire shown in figure carries a current of 40 A. If
, the magnetic field at point
will be
![](data:image/png;base64,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)
physics-General
physics
A car covers one third part of its straight path with speed V1 and the rest with speed V2 . What is its average speed ?
A car covers one third part of its straight path with speed V1 and the rest with speed V2 . What is its average speed ?
physicsGeneral
physics
A bus travels between two points A and B. V1 and V2 are it average speed and average velocity then
A bus travels between two points A and B. V1 and V2 are it average speed and average velocity then
physicsGeneral
Maths-
If
is defined by
![text then end text f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
If
is defined by
![text then end text f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
Maths-General
physics
A car moving over a straight path covers a distance x with constant speed 10ms-1 and then the same distance with constant speed of V1.If average speed of the car is , 16 ms-1 then V2=...
A car moving over a straight path covers a distance x with constant speed 10ms-1 and then the same distance with constant speed of V1.If average speed of the car is , 16 ms-1 then V2=...
physicsGeneral