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Question: A thin uniform rod of negligible mass and length l is attached to the floor by a hinge P. The other ...

A thin uniform rod of negligible mass and length l is attached to the floor by a hinge P. The other end is connected to a spring of force constant k. Rod is in a uniform magnetic field B pointing inwards the plane of paper. A current I is passed through the rod. Find the torque acting on the rod due to magnetic force when the rod makes an angle 530 as shown in

A

II2B

B

Il22\frac { \mathrm { I } l ^ { 2 } } { 2 }B

C

3Il2 B5\frac { 3 \mathrm { I } l ^ { 2 } \mathrm {~B} } { 5 }

D

45\frac { 4 } { 5 }II2B

Answer

Il22\frac { \mathrm { I } l ^ { 2 } } { 2 }B

Explanation

Solution

F = kx = IlB t =dτ\int \mathrm { d } \tau==