Physics-
General
Easy
Question
A thin non conducting disc of radius R is rotating clockwise (see figure) with an angular velocity w about its central axis, which is perpendicular to its plane. Both its surfaces carry +ve charges of uniform surface density. Half the disc is in a region of a uniform, unidirectional magnetic field B parallel to the plane of the disc, as shown. Then,
![](data:image/png;base64,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)
- The net torque on the disc is zero.
- The net torque vector on the disc is directed leftwards.
- The net torque vector on the disc is directed rightwards.
- The net torque vector on the disc is parallel to B.
The correct answer is: The net torque vector on the disc is directed leftwards.
Related Questions to study
Physics-
A conducting ring of mass 2kg and radius 0.5m is placed on a smooth horizontal plane. The ring carries a current i=4A. A horizontal magnetic field B=10T is switched on at time t=0 as shown in figure. The initial angular acceleration of the ring will be
![](data:image/png;base64,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)
A conducting ring of mass 2kg and radius 0.5m is placed on a smooth horizontal plane. The ring carries a current i=4A. A horizontal magnetic field B=10T is switched on at time t=0 as shown in figure. The initial angular acceleration of the ring will be
![](data:image/png;base64,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)
Physics-General
Physics-
Calculate the magnetic moment of a thin wire with a current I=0.8A, wound tightly on half a tore. The diameter of the cross-section of the tore is equal to d=5.0cm, the number of turns is N=500.
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)
Calculate the magnetic moment of a thin wire with a current I=0.8A, wound tightly on half a tore. The diameter of the cross-section of the tore is equal to d=5.0cm, the number of turns is N=500.
![](data:image/png;base64,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)
Physics-General
Physics-
A straight current carrying conductor is placed in such a way that the current in the conductor flows in the direction out of the plane of the paper. The conductor is placed between two poles of two magnets, as shown. The conductor will experience a force in the direction towards
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A straight current carrying conductor is placed in such a way that the current in the conductor flows in the direction out of the plane of the paper. The conductor is placed between two poles of two magnets, as shown. The conductor will experience a force in the direction towards
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Physics-General
Physics-
A long horizontal wire AB which is free to move in vertical plane and carries a steady current 20A, is in equilibrium at a height of 0.1 meter above another parallel long wire CD, which is fixed in horizontal plane and carries current 30A, as shown in the figure. Find the time period of oscillations when AB is slightly depressed ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
A long horizontal wire AB which is free to move in vertical plane and carries a steady current 20A, is in equilibrium at a height of 0.1 meter above another parallel long wire CD, which is fixed in horizontal plane and carries current 30A, as shown in the figure. Find the time period of oscillations when AB is slightly depressed ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGYAAAATCAYAAABiMHgQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAtNJREFUeNrtWE1kHVEUHlFPRYSIireoElFvERUqoiqixBMVT4WIqK5KRUVFNlFRWYXIoioiREQWXZSKripKRVU8ESoiiy66iS4qojxVEfEMyTl8ieu+c2fu3HmTyWI+Pt47c+/Muefc83Ov52W4KpyBVWKZ2JGZ5HqhgfiSuBtlEk+Yy2wXiC7s+Lg4VX7PwfYi7hG3M7uHYoX4NOY7+ojfNVkZPqhBGbshbdwlviHuBYxpJi4Rd8BlyJLGLeIB0pEr8rB1uya/T9xKKjzrgffEFyiUJmwSS8r/QciSxjQ2TZxN9xnOkbAFB11injh+DbsYCcPEBUH+jjiacNE+QNS4RspGSGS/0mv8F2KvYXAjHPcXBWuduEicSskx/P2iIH+EZypmoGcbnHlEPCQ+xvMW4ltihfif+DpAH3b6qkVE/Sb60F+1ETulEDL/gR75rFROGHgDRWoKv5mT+PCTkH49iHEcUzHomoPhVXyEc37AsKz/Hez8PNY2AvltbLw22zQjOGXFoJtnaYccfHEJ3/AyzqezgvxXQJ5MOmL8gDlVQc9NRIaKPzCiJM87tsj8vL8O667aLJbDvlXItccp1hjf8mzAep4gFXsR5K4t8jAOjaV6OkZKZWL7RughfrO4ekgqlR0Z0sVNLZWZ9Iwqj9Ii52Ezfk+Tg1NqUtlX4kNt0BBaV6kIrqUYMVzgBwR5USv+Jj2jyqO2yLxB9onPHNZcU/yldplD8oPhnPE8RccMIbXoWNPa5QWch3REkbu2yKuOtwPj8EVgcWtGauhSxqyjQPal6BgPqWIC3VQOu1q/4viktMWucpsWWUc38adQm20gdn7bwl1NCX15FS1nEeeZhoQdElaTWmCwUxTsZSGnV5BWvBjysBb5Av+gp49NU3BYt6mmW11idhrSW4b4MF5iMsaUKwH2+pLS13djciGzYd0xb6h7IppQEI+RLjYQMRmuAOdQXcnAFedchQAAAMJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bWk+ZzwvbWk+PG1vPj08L21vPjxtbj4xMDwvbW4+PG1pPm08L21pPjxtbz4vPC9tbz48bXN1cD48bWk+czwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21yb3c+PC9tZmVuY2VkPjwvbWF0aD4MHyohAAAAAElFTkSuQmCC)
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)
Physics-General
Physics-
Figure shows a rod PQ of length 20.0cm and mass 200g suspended through a fixed point O by two threads of lengths 20.0cm each. A magnetic field of strength 0.500T exists in the vicinity of the wire PQ as shown in the figure. The wires connecting PQ with the battery are loose and exert no force on PQ. A current of 2.0A is established when the switch S is closed. Find the tension in the threads now.
![](data:image/png;base64,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)
Figure shows a rod PQ of length 20.0cm and mass 200g suspended through a fixed point O by two threads of lengths 20.0cm each. A magnetic field of strength 0.500T exists in the vicinity of the wire PQ as shown in the figure. The wires connecting PQ with the battery are loose and exert no force on PQ. A current of 2.0A is established when the switch S is closed. Find the tension in the threads now.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAACkCAMAAABl5vG3AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAObe3jExMQgQEKWMnBAQWtbW3kJaUs7OzqVajEJajBBCWnNajBBajPf3761aWnMpWnNaKYxaWnMIWnNaCKWlGULvGaUZrUIZraUpGaUp3kIp3hBjGXPvWhCtWnPvGRCtGXMZrRAZrRDvWnOlGRDvGXMp3hAp3nvvnHvv3nuU7973vUrO3kLOWqWEWkrOnKWEGULOGaUIGaUI3kII3hDOWnOEGRDOGXMI3hAI3oSEhBkQEGNKWoSUjCEhKToQEKVa70Ja76VarUJaraUpWqVaKRBjWnNarRBarXNa7xBa76VazkJazqUIWqVaCHNazhBazq3v3q2U7+8ZEM4ZEKWlnObv70JCQkIQY0IQOhkhGe9aEO/OEO+U5u+UEBmM7xmMrc5aEM7OEM6U5s6UEBmMzhmMjMXFvXN7c+8ZMe9rpe8pY+8ppc5rpc4pY84ppc4ZMe9Kpe8IY+8Ipc5Kpc4IY84IpWNjUt73jEJaKXulpXOla973OqXOa0qM70KMa0qMraXOKUKMKaUpjEIpjBBCKXPOaxCMa3POKRCMKXMpjBApjHvOrXvO73ulzt73Y973EM7OnEJaCHOlSqXOSkqMzkKMSkqMjKXOCEKMCKUIjEIIjBBCCHPOShCMSnPOCBCMCHMIjBAIjHvOjHvOznuEzmtra+/Oc+9r5u9ac+9aMe/OMe8p5u+15u+UMe+Ucxmt7xmtre+ctRnv7xnvrXMpKc7Oc85r5s5ac84p5s6Uc86ctRnO7xnOrXMIKe/OUu9K5u9aUs5aMc7OMe8I5s615s6UMe+UUhmtzhmtjO+clBnvzhnvjHMpCM7OUs5K5s5aUs4I5s6UUs6clBnOzhnOjHMICK29ta2tra3vrUI6Y63O762lzq3FlK3vjK3Ozq2EzqXva0rv70Lva0qt76Wla0Kta+/OtUqtraXvKUKtKUrvrQgQMaXvSkrvzkLvSkqtzqWlSkKtSu/OlEqtjKXvCEKtCErvjHuEpUI6EHOEUu/W9973///v/wAAAKUIBe8AAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAKKUlEQVR4Xu2de5KrrBLABbyl/JWN3B0AYRdAlRuAHUzduyC2FOv7JxuYHZyyvkYxryFzyBnOPAy/GMVHHmLTNA22TaVSqVQqlUqlUhJrcUxVzigpiYrpykonBfWDjWuVCBtogyWLa5WII7rR3se1SoRJDTPIm8qCpiEvHNk1WlRpWcE9EkFQJG5wrYpOMIT4AawW7jAj1XKJaMIFMrqZGCfIxY0Vj16gGIXCwzyrCjeCOT9CAeJdXK8EtEfBglvmlRXMh6Blu4FXZXsGhGXRslVcLqGhDgp0smqXE1qchIRVcTlB+akNhEkVlxWPzv6VfSt2MfnkHHjULDMvCJoAlUYbNMZkQKF+ismnZlyroYhH+5h6ZnaGXwrLRW391Ch063OqNh0YcK+IxuQKRdXf4maf3DXVpqNybiNe0/FnFxeFXMJ6e3btgg2/1SwBKp9bXNgdt617anHBckgJS9NYRNI7noLxrlCAzomp5wMbeU+FdE+sXfbviIR6Wu2CubyvQLCUz+mPmm70x42x+7atdCK3Jak/ucmJWWY9Mdn7R+LhcriGHv11Q1qbO7KEmc8cLKXE/lMzxqF3xP8S3KK7WvW6GsL8toE4opfkSSl0X46u6OT9H/8rCHTlULuPlujeCB5MrrIBS2Suz0GLN23rmRFl+qkwQf5TpYVm955jd2+oipr74c9Qdqtibfu2cQ1MSmXKAM098PswkeG3Lts+LS5bhmUoCJrwxWyNSTFh1FpQuqtq6B49P8YUfKJ3m8wj03pPVhFxWW0ey099adgYuUnXtxt0w6J7BaqhrFM07WqieImtVBvsQVJSN2MsFeKmGrqHQmJJdGFgtzMb7IdlHFOynOWRk7zrrkUUF0oOkC1yTm8LxUkvFyFxmcICGRgrIyqg9M0jvLfGHrluMa+ozD6/Xb/Y01QyjDcpLedr7ZPu/jQKmbDYEcQNIdvTLZPkMVtormYJYBPGdoesBHKL3k/CrNmSr1kCsev1+MIR2qJjyo5LEbgYEpaFWBrMeiRtXrP9R6JFplNi5bhoFyhPMhoxW4S2j9rwnkdT127Xu4sNMmpUN9h59mZzgCmCyLnF+F3AtKPUUsWYGhnbX7zC+gh/W+3D9nlTmOJsnsPbAd55SBLioRUNFQqH1yssz+8hLF9BqV5vRi0sApwsGCcJtBkJWSYveqi1ienFS9gbNxoietHDZi9eeuMhYYQ3sneGOEFIrh/6XbTng+T8teUt4i2HMzpN8zr8d9gNhPnwGhJSzm+YwRpsQbAPPgAzBOc/fw5Ww574DmvwVZeblneYwTQsvwaZ1A7wJS1k1jy1sAdWwkdflxyEFVglAxFwKUxLjIRfDBva8KcgV+H3Mz3B70Mld/PFj5cfZCJOMANhAaz6/3+UolYxamGLxnakGB8ULNloR8ssrKixw5bBsePB4q7T+OJFsYa5xvhyI2w4LWfiho6eNp12wwKWmM7JmVDpLelfyxG7cMgEKdo+VhGmeesCAFNsnn5oI19nOcB+B5UvMbURKI/1/YfAW+sjB+uniLRszFWIeYkG5/akZShxnaksoaG+Ed1QQlne9In+fLD8J6Y+wuakhQ4lHOUb1C1l7JabgQQ/na7WRCn+orTgfaYnSY8sc+RS0+UeiZnLu1DYpQ7srm4B/FOS0uKzR0O9Zh9pckcou1xX94hQoje/lLT87+23CJQ5PBST3HuD4MjMDFS5Q7FGnjqwjLR0KbtlJLmjrw4ktzv9aDIHakzK5+V0Y23iG6uVm6STJdxQeGsVdClp2Zi/BXRLtVveUqom2ppuKVITbe7+OPxgX28ai/ptZUs3lKmJtiYtpXy5W5OW2oJOgIc+pj5C9c4l2aJuiamPkGxB/2QoKXFvaLIF/ZPRrsQd1pvTLTtWpSUBNmV0y9baRG2Rmmh7vYrVO5cA7JaY+ggbtFtKXOfNtYkaXyJb/rs1aWloiVtBu63plkaXGJdrNxfsjJaIl3/cmm7RooT4b9DfUmuiBHVcbhJMfAHjH6zcAt/yjeiGEk1FaBNt6+YmTAr5WxLSkn8bRJet37KPpLmlOt52fQ0tNGIhIS3W5db9Y+6oFW1znYlHQvKGk2lv7Nvrh4cS996nfLlTj9q8K4aH7EFiMjcEt7+NDXXYz09Ne8MepaKhFBppmfK3+NyhX5PnmfW79oP7FdPvY2+0nRLeJcdHUSITg8TK2C22TZwXzb7fb5d9N6pOjehKcq0yOqPAFkne44lT/7JMH/ThNu7ZXeihwFV4HKhZpuaBp98WqolySwEWX2T39ciMD9wgWKyfKK8YaHLxgJTPpPPDI0EbcJFsgTZRXtnQ4ouypZmwf0BQu09uE/kHYycUYvYqmfzb6rH83F5F9zXZgns1aZfvcetkiSe3ZEuLNnfCjf9lRk6YE9mFaFfmYdPZ0qJF+yXZgg+jeyRswljkOT90yNYtXx0lOi+YMi0iLTZ3GKsWS8xe7N5EeP0U9OiyasLPHt/iloeW2WQD7a9jBc+7HwnLEs+cs9kBLPxsVE3sK7Klc6B48y4fbku0oLOHK+t+Nud22bdglQMzIl1uybVlRnGfY7O+DyZzdNNdnxsquxx2eOBxaQqRmPoIh9zgOCAtsznn35eWgzg/NvEyUDdmf9rZNyliWLZXArKlhOffvmYWol8xLv8e3Tz57grcI7lWGNCKOtXp2qP2kSB9JzT1yDxiMB14iTKebeXi+NRI+q60jAidHDgqRG2KZ0RRi9Y4ao+A3euQef9vpFgLOvzqrplA9EBSL6b1BRPsw9GxABW0B8sq0mj43JIIUCnH9XG+R/467pe01mIYFfoHB/GeD8wDdC0/+7tD5KffU8acg7PtmXPLtL7D4rzBeQEzgpaYnJAtEmwICZPh0nniYZc0QiJJ+OzT2of4/ZOdpYYhA+XI8lCarBzgFLELIcS4nF9LgLIlFYhLWMz7iTpeSIrlc9Az6eGXCeyG2XIYJ/BP4BV2w7xEtmgPfyOEhAszGWKlzTHP5BmyLIZ417ZCCH5eDlwO8Ip7IRnWyPw8Ak3A8NNLxTWHnwYlM390RGZqTIgAy40zfi9E/+KMNJ45OFNBeiGIIZAQvWGMCQWSeoFmngmxxj0L+LgSIuQxFr7Hw0qZWF90HOcogiEymhonq6wdrxQ/nq/Y+kRa0C3BnFsbKCmtf+SSMr4YfVCvK4+WmzZ2/6C9RYknCv5gMJlrogmk5bdWrkNkjT0eenNOT0A5cBC1P6qQvi1QKmblB3bLby0dKEbD6ezhA6caHVoOJUr+N2LtZ8tqE72swV4BdtEXp+XWQgVrs/RhMZSh6pU5NxCO/txNrX2+n+1nEO2WyaGcIMiXKvtSK28sU4K+OOmWz3csfF+ibgEbZGta80OsdstBPtRy2zqYvM7ZoRfrrrKA7z3w77kBK7eKyVuqtCSp0pJEL03FyjW435ZHoBA7k9v9+FRoX43bFPMjByqVSqVSqVT+Ek3zL+6j1O77P8mnAAAAAElFTkSuQmCC)
Physics-General
Physics-
A particle of charge Q and mass M moves in a circular path of radius R in a uniform magnetic field of magnitude B. The same particle now moves with the same speed in a circular path of same radius R in the space between the cylindrical electrodes of the cylindrical capacitor. The radius of the inner electrode is R/2 while that of the outer electrode is 3R/2. Then the potential difference between the capacitor electrodes must be
A particle of charge Q and mass M moves in a circular path of radius R in a uniform magnetic field of magnitude B. The same particle now moves with the same speed in a circular path of same radius R in the space between the cylindrical electrodes of the cylindrical capacitor. The radius of the inner electrode is R/2 while that of the outer electrode is 3R/2. Then the potential difference between the capacitor electrodes must be
Physics-General
Physics-
A particle of specific charge (q/m) is projected from the origin of coordinates with initial velocity [ui - vj] Uniform electric magnetic fields exist in the region along the +y direction, of magnitude E and B. The particle will definitely return to the origin once if
A particle of specific charge (q/m) is projected from the origin of coordinates with initial velocity [ui - vj] Uniform electric magnetic fields exist in the region along the +y direction, of magnitude E and B. The particle will definitely return to the origin once if
Physics-General
Physics-
A particle moving with velocity v having specific charge (q/m) enters a region of magnetic field B having width
at angle 53° to the boundary of magnetic field. Find the angle q in the diagram.
![](data:image/png;base64,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)
A particle moving with velocity v having specific charge (q/m) enters a region of magnetic field B having width
at angle 53° to the boundary of magnetic field. Find the angle q in the diagram.
![](data:image/png;base64,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)
Physics-General
Physics-
A charged particle enters a uniform magnetic field perpendicular to its initial direction travelling in air. The path of the particle is seen to follow the path in figure. Which of statements 1-3 is/are correct? [1] The magnetic field strength may have been increased while the particle was travelling in air [2] The particle lost energy by ionising the air [3] The particle lost charge by ionising the air
![](data:image/png;base64,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)
A charged particle enters a uniform magnetic field perpendicular to its initial direction travelling in air. The path of the particle is seen to follow the path in figure. Which of statements 1-3 is/are correct? [1] The magnetic field strength may have been increased while the particle was travelling in air [2] The particle lost energy by ionising the air [3] The particle lost charge by ionising the air
![](data:image/png;base64,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)
Physics-General
Physics-
A particle of specific charge
(charge per unit mass) is released at time t=0 from origin with an initial velocity of
in a uniform magnetic field
. Find position of particle at any time t.
A particle of specific charge
(charge per unit mass) is released at time t=0 from origin with an initial velocity of
in a uniform magnetic field
. Find position of particle at any time t.
Physics-General
Physics-
A block of mass m & charge
is released on a long smooth inclined plane magnetic field B is constant, uniform, horizontal and parallel to surface as shown. Find the time from start when block loses contact with the surface.
![](data:image/png;base64,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)
A block of mass m & charge
is released on a long smooth inclined plane magnetic field B is constant, uniform, horizontal and parallel to surface as shown. Find the time from start when block loses contact with the surface.
![](data:image/png;base64,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)
Physics-General
Physics-
The direction of magnetic force on the electron as shown in the diagram is along
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)
The direction of magnetic force on the electron as shown in the diagram is along
![](data:image/png;base64,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)
Physics-General
Physics-
A mass spectrometer is a device which select particle of equal mass. An ion with electric charge q>0 and mass m starts at rest from a source S and is accelerated through a potential difference V. It passes through a hole into a region of constant magnetic field
perpendicular to the plane of the paper as shown in the figure. The particle is deflected by the magnetic field and emerges through the bottom hole at a distance d from the top hole. The mass of the particle is
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)
A mass spectrometer is a device which select particle of equal mass. An ion with electric charge q>0 and mass m starts at rest from a source S and is accelerated through a potential difference V. It passes through a hole into a region of constant magnetic field
perpendicular to the plane of the paper as shown in the figure. The particle is deflected by the magnetic field and emerges through the bottom hole at a distance d from the top hole. The mass of the particle is
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)
Physics-General
Physics-
A charged particle A of charge q=2C has velocity v=100m/s. When it passes through point A and has velocity in the direction shown. The strength of magnetic field at point B due to this moving charge is (r=2m).
![](data:image/png;base64,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)
A charged particle A of charge q=2C has velocity v=100m/s. When it passes through point A and has velocity in the direction shown. The strength of magnetic field at point B due to this moving charge is (r=2m).
![](data:image/png;base64,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)
Physics-General
Physics-
A current I flows in along straight wire with cross section having the form a half circular ring of radius R The magnetic field induction at the point O is
![](data:image/png;base64,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)
A current I flows in along straight wire with cross section having the form a half circular ring of radius R The magnetic field induction at the point O is
![](data:image/png;base64,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)
Physics-General