Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACMotional & Rotational EMFHard2 minPYQ_2020
PhysicsHardnumerical

A uniform rodPQof lengthland massmis placed on a smooth horizontal surface. It is hinged at one of its ends and touches the conducting circular loop at another end. The system is subjected to vertical magnetic fieldB0. Rod is given angular velocityω0about the axis passing throughP. If the time after which its angular velocity becomes half isabmRln2B2l2. Find the value ofa+b, whereaandbare smallest positive integers.

Answer:
7.00
Solution:

ε=12B0ωl2
I=12B0ωl2R
τ=Il2B04=14B0ωl2Rl2B0
B02ωl4R=ml23dωdt
3B2l24mRt=-dωdt
t=4mRln23B2l2
a=4and b=3 a+b=4+3=7

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Motional & Rotational EMF
2mℹ️ Source: PYQ_2020

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