MHT CET · Physics · Electromagnetic Induction

A magnetic field \(4 \times 10^{-2} \mathrm{~T}\) acts at right angles to a coil of area \(100 \mathrm{~cm}^2\) with 50 turns. The average e.m.f. induced in the coil is 0.1 V , when it is removed from the field in time ' \(t\) '. The value of ' \(t\) ' is

A 0.02 second
B 0.05 second
C 0.2 second
D 2 second

Verified Solution

Answer & Solution

Correct Answer

(C) 0.2 second

Step-by-step Solution

Detailed explanation

\( A = 100 \mathrm{~cm}^2 = 100 \times 10^{-4} \mathrm{~m}^2 = 10^{-2} \mathrm{~m}^2 \) \( \varepsilon = N \frac{\Delta \Phi}{\Delta t} = N \frac{BA}{t} \)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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