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JEE PHYSICS MCQ: ELECTRO MAGNETIC INDUCTION

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A conducting loop of area 5.0 cm25.0 \mathrm{~cm}^2 is placed in a magnetic field which varies sinusoidally with time as B=B0sin⁡ωtB=B_0 \sin \omega t where B0=0.20 TB_0=0.20 \mathrm{~T} and ω=300 s−1\omega=300 \mathrm{~s}^{-1}. The normal to the coil makes an angle of 60∘60^{\circ} with the field. Find

(a) the maximum emf induced in the coil,

(b) the emf induced at τ=(π/900) s\tau=(\pi / 900)\text{ s} and

(c) the emf induced at t=(π/600)st=(\pi / 600) \mathrm{s}.
View answer and explanation
Correct option: A
(a) 0.015 V;0.015 \mathrm{~V}; (b) 7.5×10−3 V;7.5 \times 10^{-3} \mathrm{~V}; (c) zero
Option A ( (a) 0.015 V;0.015 \mathrm{~V}; (b) 7.5×10−3 V;7.5 \times 10^{-3} \mathrm{~V}; (c) zero) is correct because it accurately calculates the maximum induced emf and the emf at the specified times using Faraday's law.

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