\(1000\, turns\) આંટા અને \(4\, cm^2\) ક્ષેત્રફળ ધરાવતું વર્તુળાકાર ગુચળાને \(0.01\, s\) \(10^{-2}\, Wb\, m^{-2}\) જેટલા ઘટતા ચુંબકીયક્ષેત્રમાં ગુચળાની અક્ષ ક્ષેત્રને સમાંતર રહે તે રીતે ગોઠવેલ છે. તો ગુચળામાં પ્રેરિત થતું \(e.m.f.\) \(mV\) માં કેટલું હશે?

A \(400\)
B \(200\)
C \(4\)
D \(0.4\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(400\)

Step-by-step Solution

Detailed explanation

Given: \(Na\) of turns \(N=1000\) Face area, \(A=4 \,\mathrm{cm}^{2}=4 \times 10^{-4} \,\mathrm{m}^{2}\) Change in magnetic field, \(\Delta B=10^{-2} \,\mathrm{wbm}^{-2}\) Time taken, \(t=0.01\, \mathrm{s}=10^{-2}\, \mathrm{sec}\) \(Emf\) induced in the coil \(e=?\) Applying…

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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