Physics-
General
Easy
Question
The diagram shows five isosceles right angled prisms. A light ray incident at 90° at the first face emerges at same angle with the normal from the last face. Which of the following relations will hold regarding the refractive indices?
![](data:image/png;base64,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)
- none
The correct answer is: ![mu subscript 1 end subscript superscript 2 end superscript plus mu subscript 3 end subscript superscript 2 end superscript plus mu subscript 5 end subscript superscript 2 end superscript equals 2 plus mu subscript 2 end subscript superscript 2 end superscript plus mu subscript 4 end subscript superscript 2 end superscript](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL4AAAAXCAYAAAC1Z/W7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAqBJREFUeNrtW7FKA0EQXUIQERHEQsQiEEIQsbMQEREbixRiG4IEESwsbFOJlT8gdhJE7CSISBAbCRYigkgQq3T+gIiFBBHOWTKBS7zI7t7t3pjdB4+QJVze7MzdzkwmjMnDQ34B74AZFi+cHjqwwhcJ4DbwicimOz10YIUvmsQ23elxtmvXswS8JWSY0+Ns165nAvOmNBHDbNKzAKwAPzB/rQMLhIKsb32RBVbxghRgmx7+5MoDh/H9NDo273yhTw+/wBVwRLHK1nE394ueMEgBn50v5PXsAUsC6/xCU4pCZIyzUY/J4s35AnEGXBNY9wKowzgb9HgCFMU8pjvOF5J6GsBJiXXdd7WNelQxCHzAotf5QgK8wf8ZsJ7ssS5jjMoTzRY9UWAUeAFccb6Q1zMHrPU4PmsROslzeiJNddIY9BnnCzU9vA12ErC+ATyOwThb9ciAF21HwCHnC3U9B8CdrrVV1vqBZDMG42zVI4pxLOSSzhfh9JwDr7FIyuKdUwZeAnMBn+ef2WWtXwx1GCejxz+BVxfIdU3pUelsiKLKwrdMdftCdhrS0xSrbRSCvuMN86Mmvi771oOO0lPglianqujxH/+vMevRtSeitQEFX+iczlTRM4M3Ysf+DADfDbSgRBFGTwI3IE49JgLfFML4grHopzNV9PCu1z1rtTk7fJPD44NK4KvqGQMeYpETpx5/2lX854EfJjZ0TGeq6Klgx+dXvBaxYKAS+Cp62sf8OhE9/OSZBd5o0mQKqrGhazpTVk+pa/8ji1dKxzofRNrH2oMK+Cn0wuwCpelMbXUQxXyW0r9+eE7asCjo45pMNR6v1AJ/EfhI6AQq90GeL4M4J1ONxKuJNpqsFv6k5/3dFIHN/cZOQp7ZBUpx8Wfg/wCh9IuXgvjmygAAAY50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1YnN1cD48bWk+JiN4M0JDOzwvbWk+PG1uPjE8L21uPjxtbj4yPC9tbj48L21zdWJzdXA+PG1vPis8L21vPjxtc3Vic3VwPjxtaT4mI3gzQkM7PC9taT48bW4+MzwvbW4+PG1uPjI8L21uPjwvbXN1YnN1cD48bW8+KzwvbW8+PG1zdWJzdXA+PG1pPiYjeDNCQzs8L21pPjxtbj41PC9tbj48bW4+MjwvbW4+PC9tc3Vic3VwPjxtbz49PC9tbz48bW4+MjwvbW4+PG1vPis8L21vPjxtc3Vic3VwPjxtaT4mI3gzQkM7PC9taT48bW4+MjwvbW4+PG1uPjI8L21uPjwvbXN1YnN1cD48bW8+KzwvbW8+PG1zdWJzdXA+PG1pPiYjeDNCQzs8L21pPjxtbj40PC9tbj48bW4+MjwvbW4+PC9tc3Vic3VwPjwvbWF0aD5Es3LqAAAAAElFTkSuQmCC)
Related Questions to study
physics-
A ray incident at an angle 53° on a prism emerges at an angle at 37° as shown. If the angle of incidence is made 50°, which of the following is a possible value of the angle of emergence
![](data:image/png;base64,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)
A ray incident at an angle 53° on a prism emerges at an angle at 37° as shown. If the angle of incidence is made 50°, which of the following is a possible value of the angle of emergence
![](data:image/png;base64,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)
physics-General
physics-
A ray of light strikes a plane mirror at an angle of incidence 45º as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is 4º. The angle through which the mirror should be rotated if the total deviation of the ray is to be 90º is
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)
A ray of light strikes a plane mirror at an angle of incidence 45º as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is 4º. The angle through which the mirror should be rotated if the total deviation of the ray is to be 90º is
![](data:image/png;base64,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)
physics-General
physics-
Two lenses in contact made of materials with dispersive powers in the ratio 2 : 1, behaves as an achromatic lens of focal length 10 cm. The individual focal lengths of the lenses are:
Two lenses in contact made of materials with dispersive powers in the ratio 2 : 1, behaves as an achromatic lens of focal length 10 cm. The individual focal lengths of the lenses are:
physics-General
physics-
A ray of light strikes a plane mirror at an angle of incidence 45° as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.5, whose apex angle is 4°. The angle through which the mirror should be rotated if the total deviation of the ray is to be 90° is :
![](data:image/png;base64,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)
A ray of light strikes a plane mirror at an angle of incidence 45° as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.5, whose apex angle is 4°. The angle through which the mirror should be rotated if the total deviation of the ray is to be 90° is :
![](data:image/png;base64,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)
physics-General
physics-
A parallel beam of light is incident on the upper part of a prism of angle 1.8° and R.I. 3/2. The light coming out of the prism falls on a concave mirror of radius of curvature 20 cm. The distance of the point (where the rays are focused after reflection from the mirror) from the principal axis is :
![](data:image/png;base64,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)
A parallel beam of light is incident on the upper part of a prism of angle 1.8° and R.I. 3/2. The light coming out of the prism falls on a concave mirror of radius of curvature 20 cm. The distance of the point (where the rays are focused after reflection from the mirror) from the principal axis is :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF4AAABjCAYAAAASNrcdAAANhUlEQVR4nO2cfVBU1RvHv8sqr/GyIUJEDA0SW9I0DO/Eq4iOgNaMSpkNloQOM/SHldIUzhSjM2RQM01qNTaVI0JCIEqkgMKoZLwUAYKihojLS8jrLruwu+w+vz+M/YncXRaW3UtxPzMMe3e/55xnv3v2nHPPfe7yiIjAYXLM2A5gqcIZzxKc8SzBGc8SnPEswRnPEpzxLMEZzxKc8SzBGc8SnPEswRnPEpzxLMEZzxKc8SzBGc8SnPEssSSNF4lEqKurg0qlYi0G3lK69NfY2Ai1Wg0/Pz8MDw+jvr4ek5OTsLa2RmhoKMzNzU0XDJmIX3/91VRNaaWvr482btxIn3/++bTnxWIxlZeX09jYmMliMVmPX7duHcrLy03RlE6ICJmZmWhvb0diYiICAwPh6upq8jhMZryzszNKS0sREBBgiuZmpbCwEF9//TUyMjIglUrB4/EgFArx9NNPm6R9g4yXSCSoq6sDAAQGBsLW1larNjAwEO7u7igsLJxvcwvO2bNncfDgQZw/fx729va4ceMGOjs7wePxEBQUBAcHB6O1vUzbC8PDw1AqlVoLTr1eW1uLgwcPQiAQICcnB9HR0Yx6W1tbSKVStLe3w9vb2/DIF4CNGzcCALZu3YozZ85AKBRCKBQCANRq9bzrlUgkaGtrAxFBIpEgNjZ2hkZrj8/IyEBHR4fWyhsbGzE+Pg4iwuDgIKRSKRwcHBAdHQ1LS8sZ+r6+PmRkZCA3NxfffvvtvN+UMSgqKsJ3332HN954A9bW1ggPD8djjz027/oSEhIQFRUFPp8PhUKB9PT0mSJDZmaxWEw7d+4kHx8fyszMJLlcrlW7Zs0aIiIKCwsjkUhkSLNG4dNPP6WPPvqIZDIZlZeXU0lJCZWVldHo6Oic68rPzye5XE4KhYK6uroYNSabXGNiYnDhwgUUFRWhpqYGOTk5pmh2Tmzfvh3bt29HXFwcAECpVKK3txfu7u5zqicxMRF8Ph98Ph+2trY4evToTJFh/UR/pnq8Wq0mf39/GhoaMlXTejM2NkYhISFUWFhIzc3NpFar51XP999/TyqVioiI7t+/z6gxaMtAIpHgrbfewgsvvIADBw7onIyn4PF4SE1NxZdffmlI00bBxsYGWVlZOH36NBwdHVFRUYHy8nL88ccfoDkMDCdOnMCrr76Kbdu2Yd++fYwarUPN/v37cefOHa2VNzY2QiaTaSbXsbExCAQCrFmzhnFy7enpwcWLFwEACoUCQUFBqKmpgbW1td5vyFTs3r0bO3bsQGhoKABgYGAASqUSTzzxhF7lOzo64ObmBrlcjsnJSQgEgpkibV+XgYEB6u3t1fp37do1ampqogMHDpCVlRW5urpSbm6uVv3UUDNFTk4OffHFF/P6KhubwcFBio+Pp8rKSpJIJHMun5SURO3t7SSXyykzM5NRo3Ud7+joqPNTdXFxgUQiQWBgIEpKShAUFAQ7Ozu9egQA7Nq1CxEREUhNTcWyZVrDYIXHH38ca9euhVgsRnNzM8bGxsDj8eDv78/cex9hw4YNeOaZZ9DZ2YnLly8ziwztHfryaI8nItq/fz8dP37cVCHMiYmJCYqLi9NMsCqViu7cuaNX2erqakpOTqa4uDiqqalh1Bi0nJTJZOjp6QEAeHh46Oy5U8vJhxkYGEB8fDx+++038Hi8+YZhND7++GPY2dkhMjISvr6+CxqjQasaCwsL5OXlQSgUIjg4GC0tLXMqv2LFCgQFBaG0tNSQMIxGcnIyfvnlF7i6uqKsrAwlJSVoaGhYkLq19vjU1FTcvHlTa8Hr169jYmICRASZTAaFQgFLS0v4+/szXlAgIs2q5mG6urqQlJSE6upqA96G8YiNjUV+fr5mzpNKpbCxsdGqv3XrFqqrqyGTyRAREQFfX19GncG7k2lpaSguLkZiYiKys7O17ugxDTVTJCUlISUlBeHh4fMNxWgcPXoUIpEIfn5+ePHFF+Hs7KxVe+HCBdTW1mL16tUAgPb2djg5OeHNN9+cKTZ4FtITpsl1imvXrlFCQoKpQpkT9+7doy1btpBSqaSqqirKy8ujtrY2Rm1ubq7mjHVqUs7Ly2PULop13OrVq2FmZoaWlhY8//zzbIczDTc3N/T19QEAoqKidGrDwsKQnJyMu3fvwszMDAKBAO+++y6j1qChZmxsDH/99RcAQCgUwsLCQqtW11ADAFevXsXhw4dx4sSJ+YZjNPbs2QOhUAgPDw8IBAL4+/vDzIx5XaJSqTSvTUxMQKFQwN7efoZO66qGiKBWq7X+qVQqmJub4/z58/D394efnx9qa2u16mcjJCQEPT09Orcp2CIiIgIymQzr16+Hl5cXLl68yJgaUl1djdjYWLz//vuoq6uDlZUV9u7dy1in1qEmLS1N56qmra1Ns6rh8/lobW1FdHQ0AgICtK5qZuO9995DdnY2Dh8+PKvWlHh5eeH06dMYHR2FQCDA2rVrGXUnT57E2bNnYWNjg7q6OjQ3N4PP5zNXasjEIxaLKSkpiZydnentt9/Wua+ha3J9mODgYPr7778NCWvBkUqltH79eqqrq6OKigqqrKykkZGRGbqCggK6cuWK5lgkElFKSgpjnYtiVfMwubm59MEHHxg5mrkTFRWleaxWq0ksFjPqZDLZtGOmD4jIwP14Y/DKK6/g3LlzkEgkbIcyDZVKhdLSUs2Zq7aMCisrq2nHTBMrsAhzJ/l8PpKTk/HVV1+xHco0zM3NkZCQAHd3d5w7d05nIoBIJIJIJNJZ3zIA+Oyzz2YVGsqtW7fwzjvv6KWdnJxEfn4+7t27t2i2jCcmJjA0NISVK1diw4YNOrVNTU0AHpwDaGMZ8CAdYXx8fAHDnMmVK1ewY8eOOZVxcHDA5s2bjRTR3Kivr8eNGzcwPDysSXia7ZqFThZu+tGNvpPrFCMjI+Tn56c5BWebmJgYzWOVSkXDw8NataWlpVRaWqqzvkU3xk9hb2+PmJgY/PTTT2yHAuDBtYfi4mLU1NQAgM70Ph6PN/ve/YJ1iVmYa48nIurt7aXQ0FAjRDM31Go1RUdHExFRf38/lZSUUF9fn0F1LtoeDzy4ruvj44OKigpW4+ju7oaFhQVGR0fh5OSETZs26dwe1odFbTwA7Nu3D9nZ2azGcPv2bfj5+aGlpQU///wzqqqqGHVdXV24fPkyJiYmAAC9vb1ab/dZ9MZ7enpCIBCgvr6etRh+//13+Pr6IiwsDPHx8Vozoi9dugRra2tNXtHKlSu1Xllb9MYDQHp6Oj755BPW2q+qqsLIyAgKCwtRU1OjdbfV0dERfn5+mmM+n69JBniUxXF2Mgu+vr6QyWSs5NYrFAqMjo4iOTkZwIN0c5FIxJjIeufOHUgkEs12wuTkJJqbmxnr/VcYDwB79+7FoUOHTJ5bX1VVhSeffBJFRUWIiIiAi4uLVu3mzZuxdetWuLu7w8rKCvX19Th06BCzeCGWW/own+Xko4SHh5s8tz45OZlqampIoVBQZWUlXbp0SadeLpdTRUUFFRcXa80UJlqE28K6KCgooD179ixANPqhUChIKBTS9evX9dKrVCpKT0+nVatWkbe3NyUmJmq9hdOkQ81LL70EpVIJpVKpuSI19f/hMz0imnHmx+PxwOfz4eLiArVarfWa50Jy5swZJCYmwtLSEqWlpeDz+To3yPLz87Fu3TpkZWUBAIaGhlBYWMi8R7Vg3WMWhoeHaWxsjORy+bwT/k1NXFwcdXd3660vKCiY8VxxcTGj1mQ93pi3LhqDhoYGeHt74/bt22htbYWFhQUiIiJmLTcwMIAVK1YAeHArT39/P6NuSf2WwVzYtGkTfvjhB01aNjEMf48yPj6OpKQkiMViLFu2DDKZDEeOHMGzzz47Q8sZz8DJkyfx559/IjIyEpOTk/D09ISPj49eZYkIHR0dkMlkeO6559Df3898J8k8hr7/NENDQxQaGjrt1tHOzk69yk5OTtLx48epsbGRiB7cVZOWlsao5Xr8I+zcuRNeXl7w8fGBnZ0dQkJC9P45lWPHjqG1tRVSqRRbtmxBTk4OcnJymL8thvaQ/xJ5eXmUmpqqOZbL5XTz5k29y586dYqI/p9vJJVKaXBwkFHL9fh/aG1tRUpKCnbv3o3ly5cjMDAQq1atmlMdH374Ie7evQsigkgkwlNPPQVLS0scO3ZshvZfs1djTPr7+7Fr1y6cOnUKbm5uUKvVqKurA4/Hg6enp971REZGwsfHZ9rJXWNjI6N2yfd4sViMl19+Ga+99ho8PDxgZ2enMxt4wZj3gPgfYHR0lGJjY6dtfI2OjtLVq1eN3vaS7fG9vb3Ytm0bXn/9dbi6usLMzAz+/v6as06jY/SPdhHS0NBAvr6+1NTUpHlOpVJRfX29znyZhWTJ9fhvvvkGxcXFyMrKQnd3N4gITk5OCAgIMOm9tkvK+LKyMvz44484cuTItFsm79+/DzMzM8NS8ubIkjIeAORyOWpra6FUKrF8+XIEBweb9oc+/2HJGf8wpMeOo7H4V6R3GAs2fz9hSRvPJpzxLMEZzxKc8SzBGc8SnPEswRnPEpzxLMEZzxKc8SzBGc8SnPEswRnPEpzxLMEZzxKc8SzBGc8SnPEswRnPEpzxLPE/E9Ih+DvDe18AAAAASUVORK5CYII=)
physics-General
physics-
If an object is placed at A (OA>f); Where f is the focal length of the lens the image is found to be formed at B. A perpendicular is erected at o and C is chosen on it such that the angle
is a right angle. Then the value of f will be
![](data:image/png;base64,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)
If an object is placed at A (OA>f); Where f is the focal length of the lens the image is found to be formed at B. A perpendicular is erected at o and C is chosen on it such that the angle
is a right angle. Then the value of f will be
![](data:image/png;base64,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)
physics-General
physics-
In the diagram shown, the lens is moving towards the object with a velocity V m/s and the object is also moving towards the lens with the same speed. What speed of the image with respect to earth when the object is at a distance 2f from the lens? (f is the focal length.)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG4AAABZCAYAAADfJBHuAAAIUElEQVR4nO2cXUgU3R/Hv7rmW1tZvpLvEkgWKpSZZWpu7YbZhZDbC1akF1FBSaDeVBDdFORNXvSCiBeFaKYhZCq+EIiUa2Zqukqmq8uq+VKmq63O7nkuJP//nkp3Z3dmPD7zudw9v/G7fOZ4zpkzM3aEEAIR6rAXOoAIO0RxlCKKoxRRHKU4CB3AUhYWFtDQ0ACj0YiIiAhs3bpV6EiCQJW41tZWpKeno7OzE1lZWQgLC4NWqzWrdvPmzVi/fj3HCfnDjpblAMMwOH36NJ49ewY/Pz/ExsbC2dnZ7Pq0tDTIZDIOE/ILNeIAgBCC0tJS5ObmwsfHB3l5efD39xc6liBQJU7kf1A1xv0JnU6HGzdu4Nu3b5iYmIBMJkNOTg4cHR2FjsYthGJ0Oh3Zv38/aWlpIYQQYjKZSH5+PklISCAGg0HgdNxCtbikpCTy4cOH3z4vKCggOTk5AiTiD2oX4MXFxZDL5QgPD//tu/Pnz0On0+HTp08CJOMJoc8cNhgMBhITE7Psv0O1Wk2OHz/OYyp+obLHFRUV4ciRI8tOQEJDQzE7O4uenh4ek/GI0GcOGw4cOEBGR0dXbFdZWUkyMzN5SMQ/1PU4jUYDDw8PeHl5rdhWLpejqakJZA0uVakTV1FRAaVSaVZbiUSC6OhotLa2cpyKf6gTV1dXh0OHDpndXi6Xo6amhsNEwkCVOEIIJicn4eHhYXZNXFwcGhsbOUwlDFSJU6vVCA0Ntahm48aN+P79+5ob56gS19zcjD179lhct23btjW3GKdKnEqlQlRUlMV1UVFRUKlUHCQSDqrEdXd3Y+fOnRbXRUZGor29nYNEwkGVOKPRCAcHy3eiQkJCMDAwwEEi4aBGHMMwrPfYfHx88OXLFxsnEhZqxGm1Wvj6+rKuN5lMNkwjPNSI02g0CAwMZF3v7OyMubk5GyYSFqvEMQyDmZkZzMzMcL5O0ul08PPzY13v6+uLkZERGyYSFqvFXb9+HRs2bIBcLud0AjA2NmbWheW/4eXlhbGxMRsmEpZfpmgnTpzA+Pi4xQfx9/dHbW0tYmJi8P79e/j4+Ngs4E/Gx8dZreF+4uXlxeq3rVZ+EVdcXGxR8dzcHLKzs1FfXw+FQoFHjx5xIg0AZmdn4erqyrrexcVFHON+sm7dOty9exd6vR6vXr2yavKwEj9+/ICTkxPrekdHRxgMBhsmEhar7qt0cHBgtSBmg8FgsEqck5PTmhK3bI8zGo24dOkS9u3bB6VSienpab5y/YYo7leW7S4FBQUoLCzE3NwcJBIJACAzM5OXYP9mfHwc7e3trGeuAwMDGB4eRlNTk42TsSMiIsKqp4eWFdff3780oBuNRnR0dKC6upr1H7OGwcFB1NXVsZ6g9PT0YGpqClKp1MbJ2BEcHGzdY1/L3UnU1tZG3N3diUQiIVu2bCHl5eV83MD0R86ePUu0Wi3r+pKSEvLw4UMbJhKWZXtcREQEWlpaoFKpEBYWhh07drA/Q6zE2jHK2jFytbHilDAoKAhBQUF8ZFkWW4izZh242liaVU5MTODFixcoKipCf38/ACA/Px+vX79eaqzRaHD//v0VD0o4uG7p7Oxslbj5+fk11ePsAWBoaAhZWVlITk6GUqnErVu30NvbC6lUisnJyaXG/v7+yMjIWPGgBQUFNg8qlUqh1+tZ1+v1+jX1DLg9ABQWFiIhIQEODg6QSCQ4efIk8vLyAAD19fVITU3Fy5cv0dXVhTt37sBkMuH58+fIzc1FVVUVuru78fjxY1y7dg1qtRp5eXl48+aNTYN6enpidHSUdf3o6Cg8PT1tmEhYHIDFNdL/Tzzc3d2XtkDi4uKQlJSElJQUVFZWore3F01NTejs7MT27dvR2NiIsrIyPHjwAB0dHfD29kZoaCj27t1r06De3t5WbcuMjIxYtbuw2rAHAJlMho8fPy59qFaroVAoACxe1nJ1dUVgYODSInx6ehru7u5QKpW4fPkyJicnodFoEBkZudTG1vj5+WFoaIh1/fDwMGcXwIXAHgCOHTsGqVSKkpISlJWVgWEYZGRkICAgACqVCk+ePEF6evpSUXx8PMrLy3HmzBlotVpcuXIFaWlpyM7OhkQigaOjI0pKSmwaNDAwEBqNhnU92xuNVi3mLvgYhiEMw5ALFy5wuKz8OyaTiSQmJrKqZRiGyGQyGycSFrNPwYqKCszOzuLmzZtcnkd/xc7ODkajkVXt0NCQVbc9rEbMFpeSksJlDrNwcXFhNa3v6+tDcHAwR6mEgZq7vAAgPDwcbW1tFte1trYiMjKSg0TCQZW43bt3o6WlxeK6d+/eYdeuXRwkEg6qxEVHR+Pt27cW12m12jU3xlElLiAgAIODgxbVDA8Pr8l3WlIlDlh8gKOvr8/s9rW1tUhMTOQwkTBQJ06hUKCqqsrs9tXV1ZDL5RwmEgbqxB09ehSlpaVmtdXr9RgYGEBISAjHqfiHOnFubm7YtGkTurq6VmxbXFyM5ORkHlIJgNCXbthQU1Nj1qW36OhoMjY2xkMi/qGuxwHA4cOH8fnz5182ef9NQ0MDYmNjLXq1BlUIfeawpbm5mVy8ePGP3y0sLBCFQkG+fv3Kcyr+oLLHAYtvUrCzs/vj9tHVq1dx6tQpuLm5CZCMH6h+mfb8/DxSU1Nx8OBBpKWlYWpqCrdv34aHhwfu3bsndDxOoVocsPhw5dOnT9HY2Aij0Yhz584hPj5e6FicQ724/yrUjnH/dURxlCKKoxRRHKWI4ihFFEcpojhKEcVRiiiOUkRxlCKKoxRRHKWI4ihFFEcpojhKEcVRiiiOUkRxlCKKoxRRHKWI4ihFFEcpojhKEcVRyj8VJPuTBQJYTAAAAABJRU5ErkJggg==)
In the diagram shown, the lens is moving towards the object with a velocity V m/s and the object is also moving towards the lens with the same speed. What speed of the image with respect to earth when the object is at a distance 2f from the lens? (f is the focal length.)
![](data:image/png;base64,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)
physics-General
physics-
The diagram shows a silvered equiconvex lens. An object of length 1 cm has been placed in the front of the lens. What will be the final image properties? The refractive index of the lens is
and the refractive index of the medium in which the lens has been placed is 2
. Both the surface have the radius R
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHgAAACiCAYAAACKwQmbAAAcZklEQVR4nO2d+XMa9/3/n7vLAgsLu8ByCnRLvu00sRPHqROnM006vX7vn9mZjtN22riT9Bjb9ZXYkg+BrAMJcd8Lyx6fH/x9v7+S4yIhAZYQjxlmPBLm/dY+eV+v9+tgLMuyMGZkYd93B8YMlrHAI85Y4BFnLPCIMxZ4xBkLPOKMBR4ilmVh2KdS21BbO4U0m01UKhUAgN1uBwCYpgmGYcCyLJxOJ1wu18DaHws8YGq1GtbW1sCyLLxeL0zThKZp4DgONpsNiqJAEAQwDDOQ9scCDwhd19Fut7G6uorvvvsO7XYboihifn4e58+f3zOaK5UKnE4nnE5n3/sxFnhAdDod1Ot1JJNJ3LlzB6VSCS6XC7///e/x2WefQRAEGIaBRqOBUqkEn883EIGZsS26v1iWBdM0kUwmcffuXWSzWbRaLbTbbbTbbQQCAUSjUUxNTWFqagpOpxN2ux2CIIxH8EmArLEbGxv4+9//jnA4jN/97nfgOA7ZbBZLS0u4ffs2PvroI7jdbsRiMUiSBODNl6Pfa/FY4D6Tz+exvLyM9fV1zM3NYXp6GrFYDA6HA4FAAKqqYnNzE6ZpYmdnB8Cb6ZxlWbAsC4/HA1EU+yb0WOA+Qc64+XweDx48QKvVwvz8PBYXFxGJROhRqFgs4uXLlwCAra0tmKYJ0zTprprjOLjdbgDoi8hjQ0efaLfbyOVy2NnZQblcBs/zmJ2dRTweB8/z9H2JRAJffvklvF4vHj16hGKxCEVREAqFEAqF4HA4oGkaDMPoS7/GI7hPqKqKdDqNTCYDXdfh9XoxOTmJcDi8532RSASKomBrawubm5s4d+4cOI6jBg/LsqDrOjiO60u/xgL3AcuyUCqVcP/+fVQqFVy6dAnz8/MQRfEn72VZFjabDTMzM7h16xZM08Tt27cxPz+Pubk5eL1eeDwesGx/JtfxFH1EDMNAs9lELpdDMplErVbD4uIizp49+04TJMMw4DgO8Xgcn376KTiOw927d7GysoJisQhVVWEYBnRdR6fTgWmaR+rfeAQfkUajgVQqhXQ6jVAoBEVREAgE4HQ6u45CSZIwOzuL1dVVuoMGgHK5DFVVYbfb4XQ64fF4jmSr7iowObSzLDswW+lJxrIs1Ot1vHz5Ejs7OwiHw5ienoYsy9QU+b9wu91wu90IhUIIBoN0By6KIkRRpBcSR72I6DpFdzodqKqKTqdzpEZGEfLlr1QqWF5exsbGBqLRKObm5noSZXJyEp999hna7Tbu3LmDcrmMWCyGcDhMZ4Kj8E6BDcOApmnY3t7GkydPsL293Zf1YJQwDAPVahWFQgHFYhGdTgeKoiAcDu87encTDAZx6dIlWJaF5eVlFItF+jtytjZN89D3yO+cotvtNhqNBv75z3/i9u3b+M1vfoNf//rXA7vxOImoqoq1tTVsbW3B7/dDkiSIotjzcuZ2u2Gz2eByuWAYBjKZDJaXlyEIAkRRhKIokCQJNpvtUMvkOwXO5/NIpVK4e/cu7ty5g1AohJmZGUxOTmJiYqLnRkaRVquFVCqFzc1NBINBJBKJQ5kYeZ6HzWaD3+9HJBKBqqpYXV1FLBaD0+mEpmnQNI06CPTKT/6HZVlIJpP405/+hEePHqFUKuHJkyf45ptvkEqlem5gVGk2m3j16hXW19cRiURw9uzZd557DwLDMEgkErh69SoEQcD29jYcDgcmJibA8zyazSZ0XT/UZ+8R2DRNdDodbGxs4O7du9jY2AAArK+v49///jc1kp/mG0bTNNFqtVCr1VAul9FqtRAIBBAOh4+0fEWjUVy8eBEcx2FtbQ2VSoU+Z4ZhDn2K2SOwrutotVrIZrN49eoV6vU6JElCpVLB0tIScrncqRfYMAxUKhWUy2V6+0POqkcxLyqKgvn5eRiGgWQyidevX2N7exuGYdB1+jDs+V+maULXdTgcDvj9fui6DpvNRtcAm81Gz2enlU6ng1wuh3w+D4/HA6fTCVEUDy0AgYx+t9sNu90OXdfRaDQgCAIcDgfdUXMc19Na/M5eRSIRXL16FcViEbVaDQ6HA6IoIhgMHumPGAXI8XFnZ4ceiw679u6GmDAVRcH09DQkSYJpmqjVajAMA16vF6IowuFw9CTwnncSQ/j09DS+/PJLLC4uwm63Y3FxEb/4xS8wPT19pPVgFOh0OlRgWZYxNTXVN7dXhmEQCoUwNzcH0zSxtbUFTdPgdDrB8/yhLIp7RjDLsrDb7Zifn8fExATa7TaePn2Ks2fP4re//S0kSTr1ZstOp4NMJoNsNosbN24gkUj0TWCWZREOhzE3N4e1tTXkcjlMTEwgHA7TqfnIAttsNmoPJZ4FoigiEomA47hTKy6xKGmahna7jU6nA4fDcaQN0NswDAO/349EIoGVlRVsbm4in8+jUqlQbVwuV0+Wsp8IvFtAsiu02WxwOBy0E6eVTqcDTdPoBQzP8+B5vm/PhGVZ+P1+MAxDp2jyYlkWgiD0bAr9yVfvXZ0d5LrbbDZRq9WQz+eRy+XoEWx6ehpTU1PHZs03DAPlchnFYhGCICAYDMLpdPbfC/L/DSabzQaWZekswfM8BEHY4/5zoM/ra+8OQb1ex+bmJp4+fYonT57AMAwwDIOvvvoK8Xj82CwLuq6jUCggl8vB5XLB4/FAEIS+t0NMkkRQr9eLQCBAj0tHWoPfFwzDIB6Pw+PxYHt7G+l0GvV6Haurq1AUBX6//313EYZhoFQqoVAoQBAE+Hy+gQgMvJmqJUmC3+9HtVpFKpWCz+eDJElwu91U6IOI/d4FJpuHhYUFRKNRPHz4EJqmUVsvx3HHTuBYLIZQKDSwm7XdApfLZTx//hzRaBTRaBShUIi6154IgV0uF8LhMARBgM1mg81mg91uhyRJCAaDqNfrWFpaolaccDgMh8OBp0+folQq4cKFC4jH4wPvJzFRlkolzM7OQlEUuvHsNyQSkRiWiKEjEAjAbrdTP+qDcCwE3n2O5DiOChwOh7G5uYlMJgPDMGC328HzPCRJwr1795BKpSDL8lAEJt4b5XIZTqcTiqIMbAQzDANJkhAKhVAul2GaJjweDxRFobv4g94HHBuvSk3TUKvVYFkWPB4PJEmCJEnHxsGA3CKpqgqbzQa329033+W3ISPY7/ej2WxifX0dGxsbyGQyaLVaPW20joXAlmWh3W6jVquBYRi6ofB6vXvOfORbSwzvw0yJYFkWWq0WWq0WbDYbXVIGAbml8vv9NJZpe3sbhUIB7Xa7p89671M08QFuNpsol8twuVw4c+YMRFFEq9WCruvUimQYBgzDoPfWmqZB13UYhjEUEypxbx10OwzDwO12Q5IkMAwDXdchyzJCoRA4jkOr1QLLsgeaQd77CNY0DZVKhZ4xDcOAz+cDx3FoNBrodDp0hDcaDTSbTTSbTXQ6HRiGQeNu+xXL8y7ITEEe6jAEJj5ZRGByJmYYhj6Tg/DeR3A2m8WLFy+ws7ODQqEAp9MJt9uNSCSCcDiMWq2GTqeDbDZLL9kDgQDa7TYEQUC1WkUmk0EoFOrLtd3bWJZFZwsSQzSotXc3u8+5nU4HhUIB2WwWLpcLgiAc+MrwvQvcbDaxs7ODXC5Hd4wA6Gar1WpR/+xarYZCoQCGYSCKIjUVNhqNQ/ss7QcRuN1ug+O4ga69b0MEJuExjUaDfsFOjMDRaBTXr1+Hqqp7NhBkk9VoNKCqKmZnZ/HBBx8gGo1ClmWoqgrTNCHLMrxe78CsSmR5UFUVHMfB5XINTWDgjcgOh4OGmBKxOY470Ezy3gWWZRmyLL/zd6Zp4vXr17DZbEgkEpidnYUsy/B4PEPt49sCD2OKJhBPD+KTTmarE3cOfhcMw1BDBslCM8zRA7wZwZqmodVqDX2KJnQ6HeTzeWQyGViW1dOX7EA9fZ9elJIkIR6PQ5bloW1wdrN7k8UwDHWdGRa7N1okRqyXo9q+Au82Lgwby7KoNYuYKTmOG2pfyBl8t3lwWAYW0gbP8wgEAgiFQtB1Haqq0oiI/TiQwJlMBj/++OPRe3wC0XUd6XSaelbouo5Xr14NJRCvUqkgm81C0zSaYqlXB4h944MB4PHjx8hkMkfr7QmFXDJUq1VUq1WYpont7W0EAoGBt91ut7GysgLDMLC9vY1cLgefz9fTTr7ru3Z7Fwzqauy4Y5omXR6I47/dbh/K87Asi7ZJ1t1ew0m7CkxMcx9++CF+9atf9aXTJ41Op4N0Oo10Oo2NjQ3ouo7r169jfn5+4G2Xy2X88Y9/xOrqKqLRKILBII2LInm19qPrO/x+PxYWFrC4uIiFhYW+dfwkQdxjiZG/3W4jkUgM5Xnk83n4fD6sra1B13V6F9xLrHDX/X48HseNGzeGcqF+XCExWTzP0zPxMDMdGIZBAwIPcw7uKnCj0UA2m0Wj0ehLZ08ixFTodDrpwx7kzdW72J0ZnmXZ/nl0rK+v4/vvv8f6+npfOnoSIQK7XC6YpnmkYOzDQHyjw+EwYrEYOI6jubQOQtc1OBAIYHFxcShHguMKEVgQBGpkGKbAJKRXVVU0m82erWld3zUzM4Nf/vKXmJ2d7UtnTyrkWERucoYpMFkWSOQHgJ7ioboKnMvl8PTpU2Sz2aP39IRCbAEcx1FXoUFvsnbfQZOYJK/XC0mSwPN8T+13FTiVSuEvf/kLksnkkTt9kiG+WGS6HIYdereTgSiKCIVCCIfD4Hkeuq4fWOSuAkejUVy9ehWxWKwvnT7JkJFMhDYMY2BCk8j+QqEAy7IgCAJUVUWpVKKphvtyDp6amqKR/WN+OpIHNVVblkWz6AFv8nfUajXkcjl0Op3+GTrS6TRNn3TaIc7okiSh1WqhUChA07SBtEUuOAqFAlwuF01AFwwG6Vm4L/fBGxsb+Ne//jUewXgTUuP1eiHLMhVYEISB+ILtFtjj8SAYDFKByazRlxEcDAZx4cKFcXYdvBFYlmUabZDL5XqOMjgoROCdnR1omgabzUYLaJEKLQel6zt9Ph/m5+fh8/mO3OmTDsdx8Pl8CAQC1DasqupA2iICk0AAu92OVquFarUKXdd7uvTvOkU3Gg3s7Oycals0gRSSrNVqePbsGWq12sAEJonGq9UqZFnG3NwcnE4njfLvqd/dftlqtWgdgdMOCUSvVqtQVZWm3u83u02TqqpCFEXEYrE9af97YV+Pjl5T540qLMvC5XJBFEVomoZqtdr3TPiWZdEgPJvNBkmSoOs6SqUS7HY7ffXitttVOY7j6GX3aYdhmD3FnEm+rH7eD1uWRc+7LMtClmUwDANVVWkkZa/Gla4CO53OgSYbOYmQ5N0+nw/NZhP5fL5vu2nLspDNZpFMJqHrOoLBIPx+P2RZprFYvQ62A829pzl98NvYbDYEAgH4/X7UajVsb2+j1Wr15bNN00Q2m0UqlQLLskgkErSCC3n1ulx2fXepVMKrV6/2FIo47fA8j2g0inA4jGKxiNXV1b6dMsgIXl1dhSzLuHz5MgRBQLlcPrTVbLx76hG73Y5IJIJQKIRSqYTXr1+jXq8f+XNJMvZSqYRcLgee52lGoaPYvbtuxyYmJnD9+vVT7XT3NuTBk5RKqqqi0WjQROmHjf5XVRXFYpFmL2g0GqjVanvyRB+GfUfwcUgjeJzYbZO22Wxot9sol8uoVCpH8vQoFApIpVIwTRORSIRmkScOf4c9yXQVeG1tDf/4xz+wtrZ2qA8fRYhtwOVyYWJiAoqiIJfLYW1tDc1m89Cfu76+jvv378Nut+P69es4c+YMLfRxlDoZXQUedLqgkwrJgjMzM4OJiQlkMhm8fPnyUGsxcQPKZDJ4/vw5gDeZdr1eL23rKJl9ugo8NzeHr776CnNzc4f68FGGpHuamppCOp3G0tISarVaz59DMgXl83msr69D0zS4XC7qaNfrBf/b7GuLrlQqfTvnjRI8zyMUCqFYLNKUT5VKBbVaradZr1QqIZPJQFVVmoBUURSabPyopuJ9ne7++te/jiuevQOyDsuyjGAwCLfbjVKpREfdQdne3saDBw9gmiYuXLiAmZkZxGIxGmx2VCti16+Zy+WCoih9KzoxSpDNliRJOHPmDLa2tmiluN0pnv4Xuq5D13W69iYSCZw5cwaBQACqqsLj8fQlRHVfp7tbt25hamrqyA2NKl6vFz/72c8wMzODZDKJx48fo1qt7rvr7XQ6qNfryGQySCaTkCQJn376KTweD7a2tlCv1/tiIu46gmu1GtLp9LjiaBd4noff70coFIIsy3tSP3WrZ7i5uYnl5WWUy2VMTk7SNIXkzNuvAPOuI3hzcxP/+c9/xl6VXSA5rHw+H2ZmZiCKIl6+fIkXL150dQhYXV3FN998g2q1ig8//BBerxfFYhFOpxPxePxQpWrfxb5rMHHVHPO/IQm8z549C5Zl8ezZMzAMg5mZGWqJIjth4i1Jds5+vx8XL16kdap6TVW4H/tGFy4sLJzq6MKD4vF4cO7cOTSbTXz33XdotVrY2dmB1+vdEw1YKBSwvLxMLxQikQguXLgAAHtycPSrnFDXr4mmaajX6wNz8B4lSLKacDiMTz75BOFwGA8ePMDDhw9RrVbRaDTo9eJ///tfMAyDW7duYWJigtYhJsL2Myd1V4HJDcfY6e5gMAyDSCSCL774AvF4HPfu3cO9e/dQLpdRr9dRKBSQTCZx//592Gw2fP3115iYmMDOzg6tMgqgrzmp982TddoLQvcKz/OQZRkzMzP4+OOP0W638be//Y1mtW80Gjh//jx8Ph/y+TwEQaC2BlLtrJ8cOJXhmINBTIzT09OwLAv379/Ht99+i3w+D03TcOnSJdy4cQN+vx/ZbBaJRALBYJBOzf1mvIseEC6XC/F4HOvr63C5XPD5fHC73Th79iwuXrxIR6zb7abhKUMX2OFwQJKkgWZ1I7G2JOEnSfBFdpHk5wD25Gs87nWMST2ocDhMy9FFo1EsLCxgYWGBRuobhtFzvFEvdBU4n89jeXl5INGFZH3P5/PY2tpCNptFLpfD5OQk5ufn4fV64Xa7USgUUCgUaBEOUrRRURR6Z3qc8Xg8tIpqLBaDIAjY2tqCLMu04Da5NRoE+8YmDSpPlmVZtFzcxsYGVlZWkEqlUK/X4XK5wDAMXC4Xcrkckskk3QuQn9vt9ndmfn97VL+9hyC/3/3zQc4EbrcbiUQCPM8jFouB53mUy2U4HA74/f6Bz0RdBU4kEvj5z3+ORCLR94bJ9OT1emkE49zcHNrtNp4/fw6e56EoCra2trC0tIQrV65gamoKT58+xcbGBgKBABRFoQ+IRN3tHg1keidTPInv2W1M2P3zQeB0OmnNQUmS4HK5aGWZYSwzXQX2er1IJBKQJGkgjVuWBbfbDUEQaOGnZDKJlZUV1Go1Gqa5vr6Ojz76CPF4HI8ePUI6nUaxWKQ3LrtfJPUgSXtEPB53m//IgyXrn8fjocb+fkMuDkgqJuKwN6x4r64Cr62t4dtvv4Xdbu978k2WZWG326FpGgzDoH5NLpcLV65cgdfrpWkSyA6TFIxyu9205Fs+n0er1aKBWhsbG2BZFrOzs2i32zR5t9/vh2EYqNVqEEURiqKgUCggnU7j6tWr+PzzzwcicK1Ww9raGvXycDqdAxsw72LfNTiXyx3JW/B/8XZCk2azie3tberNYJomDXjeLTAJ4SCjO5VK0bI7DMNga2uL1lyq1Wr44YcfwLIs5ufnadHpSCSC8+fPI5VK4eHDh1AUBTdv3uz73wj8f58rjuOGkmPrbboKPDs7i6+//nqgTneknKzX60UkEkE+n0cymcTi4iLNybzbdEe+EJqmQVVV1Ot1mKaJUCiEaDSKSCQCXdfh9XqxublJy/Z8/PHH2NzcxMbGBvx+Py5fvgzDMLC0tDTQ6Em/34/z58/DbrcjEAj07RrwoHQVmEwngzwHk2OCz+dDIpFAsVhEKpVCNBqloau7i2GQCigk+1y9XodhGHA6nbRoFqlxUC6XIQgC/H4/ZmZm6HlztxHiKB6LB4H4bvE8D7vdPvRQ3K4Ck0x3NpsNi4uLA+kAMVr4/X44HA6Uy2Wk02koigJFUfas06TEq6qqtL4uuaWpVqvQNI2el3d//rva3P3vQQpcKpXw7NkzCIJAXZ/cbvfA2nubrgKTmoGDSL65u6wsyaJKYm/n5+cRjUYhiiJkWYbP54NhGCiVSrRYlt/vp7Gz1WoV29vbWFlZofUVSCl0Uu+eiO5wOMCyLD1WORwOMAyDdrs9kGB3ct4n1rph01XgyclJfP7555icnOx7wyQNwsbGBlKpFD1CuFwuXLt2DaFQCDzPIx6P0/zIyWQSHo8Hly5dQjgchiiKuHLlChwOB168eIG1tTXMzc0hEolAkiQ6dfM8T6dtURRht9uhqir1xGBZFtVqFR6Pp++jy+fz4cKFC9R361itwQSSjCWXy6FQKNBzJYlAJ7bWXiHTs81moy9ZlhGJRKjrSjgcpiNM0zRIkgS32w1ZluFwOKhdN5VKQdd1Wn51t5+U1+uFw+GAz+fDuXPnaFJPRVFw8eJFRKPRQxsdyC65Wq1iZ2eHbvrcbjctg0tK076Pq9euAm9tbeHevXswDAMcx+H777/H/fv3aaGKmzdv4tq1a5icnOxZYLvdTsvVTUxMUKGJQYA8cHILQx4O2VyRqTUejyMQCODcuXO0ngGZag3DQCwWo7c25PxLzJyCICASidBizIeZnjudDorFIpaWlnDnzh2kUilomoapqSl88skn4DgO2WwWiqJgZmaGlm8fFl0FbjabyOVyePz4MdLpNB48eICnT5/SEEpi7E+n0/D7/UPp8HGDBG2vrKxgaWkJq6urqNVq1LdZFEW69k5PTw/9BmzfNEoMw+Dhw4fY2tpCs9lEu92GoijgOA6vX7+mKX54nh9Wn48Vuw019XodLMui0+ng9evX2NzcRDgcxuTkJKanp+HxeOhFyrDoKjDP8xBFkb5IOh+yOyVJMh0Ox6kXmORyJvk0DMOgewG3203vf4+VJUsQBPh8PsiyjMXFRdy9exc//vgjTNMEz/O4fPkybt68CZ/PB1EUh9XnYwUZvc+fP8ef//xnpNNpdDodiKKIc+fOIR6PIxgM0gHSarWGutHadxdNHLjj8TjC4TDOnj0Ll8tFq6KFQiFqgjuNkBijer2OK1euwO124/z585AkCYuLixAEge7+B+WW042uApPpZ2pqCl988QU++OADlEoltNttepdLdrvH2X1m0JimCZ/Ph2vXruHKlStgGAYej4fGD7969Yoe3wZtGn2bAzndybIMj8cDnuchSRI6nQ6tHUC8CE8rpOw7y7Jwu92wLIse49xuN1qt1h4fs2HTVWCPx4NYLEbPbQ6HAw6H43+6wZxGyGXC24HaRNDdFcSPnamyUCjg5cuX1FRJhDzNgr6LbqOTbMJIspVhleUhdF3xs9ksfvjhh1NdGOuokKRmxIYw7MKWXUfwhQsX8Ic//AEXL14cVn9GDkVRcOXKFRrS4vF4hjoDMtY4NmWkGScjHXHGAo84Y4FHnLHAI85Y4BFnLPCIMxZ4xBkLPOKMBR5xxgKPOGOBR5yxwCPOWOARZyzwiDMWeMQZCzzijAUeccYCjzhjgUecscAjzljgEWcs8IgzFnjEGQs84owFHnHGAo84Y4FHnLHAI85Y4BFnLPCIMxZ4xBkLPOKMBR5xxgKPOGOBR5yxwCPOWOARZyzwiDMWeMQZCzzi/B8pXB8juYKHAgAAAABJRU5ErkJggg==)
The diagram shows a silvered equiconvex lens. An object of length 1 cm has been placed in the front of the lens. What will be the final image properties? The refractive index of the lens is
and the refractive index of the medium in which the lens has been placed is 2
. Both the surface have the radius R
![](data:image/png;base64,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)
physics-General
physics-
A point object is kept at the first focus of a convex lens. If the lens starts moving towards right with a constant velocity, the image will
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)
A point object is kept at the first focus of a convex lens. If the lens starts moving towards right with a constant velocity, the image will
![](data:image/png;base64,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)
physics-General
physics-
Two point sources P and Q are 24 cm apart. Where should a convex lens of focal length 9 cm be placed in between them so that the images of both sources are formed at the same place?
Two point sources P and Q are 24 cm apart. Where should a convex lens of focal length 9 cm be placed in between them so that the images of both sources are formed at the same place?
physics-General
physics-
An object is placed in front of a thin convex lens of focal length 30 cm and a plane mirror is placed 15 cm behind the lens. If the final image of the object coincides with the object, the distance of the object from the lens is
An object is placed in front of a thin convex lens of focal length 30 cm and a plane mirror is placed 15 cm behind the lens. If the final image of the object coincides with the object, the distance of the object from the lens is
physics-General
physics-
A ball whose size is slightly smaller than width of the tube of radius 2.5 m is projected from bottommost point of a smooth tube fixed in a vertical plane with velocity of 10 m/s. If N1 and N2 are the normal reactions exerted by inner side and outer side of the tube on the ball
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)
A ball whose size is slightly smaller than width of the tube of radius 2.5 m is projected from bottommost point of a smooth tube fixed in a vertical plane with velocity of 10 m/s. If N1 and N2 are the normal reactions exerted by inner side and outer side of the tube on the ball
![](data:image/png;base64,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)
physics-General
physics-
A conical pendulum is moving in a circle with angular velocity
as shown. If tension in the string is T, which of following equations are correct ?
![](data:image/png;base64,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)
A conical pendulum is moving in a circle with angular velocity
as shown. If tension in the string is T, which of following equations are correct ?
![](data:image/png;base64,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)
physics-General
physics-
Block of 1 kg is initially in equilibrium and is hanging by two identical springs A and B as shown in figures. If spring A is cut from lower point at t=0 then, find acceleration of block in ms–2 at t = 0
![](data:image/png;base64,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)
Block of 1 kg is initially in equilibrium and is hanging by two identical springs A and B as shown in figures. If spring A is cut from lower point at t=0 then, find acceleration of block in ms–2 at t = 0
![](data:image/png;base64,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)
physics-General
physics-
Find the acceleration of 3 kg mass when acceleration of 2 kg mass is 2 ms–2 as shown in figure.
![](data:image/png;base64,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)
Find the acceleration of 3 kg mass when acceleration of 2 kg mass is 2 ms–2 as shown in figure.
![](data:image/png;base64,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)
physics-General