Question

A ring of M.I 10–2 kg/m2 about an axis passing through its centre and perpendicular to its plane is placed with its centre at origin. The current is passed through ring so that magnetic moment is →M=(4^i−3^j)A−m2. When magnetic field →B=(3^i+4^j) is switched on at t = 0, then

- Angular acceleration of the ring at t = 0 is 5000 rad/s2.
- Angular acceleration of the ring at t = 0 is 3000 rad/s2
- Maximum angular velocity of the ring is 100 rad/sec.
- Maximum angular velocity of the ring is 200 rad/sec

Solution

The correct options are

**A** Angular acceleration of the ring at t = 0 is 5000 rad/s2.

**C** Maximum angular velocity of the ring is 100 rad/sec.

→τ=→M×→B=25^k(N−m)

M.I. about an axis passing through centre of mass and parallel to →τ,I=10−22(kg.m2)

α=τI=5000rad/s212Iω2=ui−uf=−MB cos 90∘−(−MB cos 90∘)ω=√2MBI=100rad/sec

→τ=→M×→B=25^k(N−m)

M.I. about an axis passing through centre of mass and parallel to →τ,I=10−22(kg.m2)

α=τI=5000rad/s212Iω2=ui−uf=−MB cos 90∘−(−MB cos 90∘)ω=√2MBI=100rad/sec

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