\(25\,cm ^2\) નું ક્ષેત્રફળ ધરાવતા એક ચોરસગાળાનો અવરોધ \(10\,\Omega\) છે. ગાળાને \(40.0\,T\) ધરાવતા નિયમિત ચુંબકીય ક્ષેત્રમાં મૂકવામાં આવેલ છે. ગાળાનું સમતલ ચુંબકીયક્ષેત્રને લંબ છે. ગાળાને \(1.0\) સેકન્ડના ગાળામાં ધીમે-ધીમે ચુંબકીયક્ષેત્રમાંથી બહાર કાઢવા માટે થતું કાર્ય \(..........\times 10^{-3}\) હશે.

A \(2.5\)
B \(1.0\)
C \(10\)
D \(5\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(1.0\)

Step-by-step Solution

Detailed explanation

\(\ell=50\,cm\) \(t =1\,sec\) \(\therefore V =\frac{0.05}{1}=0.05\,m / s\) \(i =\frac{40 \times 0.05 \times 0.05}{10}=0.01\,A\) \(F = B { i } l=40 \times 0.01 \times 0.05\) \(F =0.02\,N\) \(\therefore \quad W =0.02 \times l=0.02 \times .05\)…

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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