NEET · Physics · STD 12 -6. Electromagnetic induction

A long solenoid has \(1000\) turns. When a current of \(4\,\, A\) flows through it, the magnetic flux linked with each tum of the solenoid is \(4 \times 10^{-3}\,\, Wb.\) The self-inductance of the solenoid is......\(H\)

A \(3\)
B \(2\)
C \(1\)
D \(4\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(1\)

Step-by-step Solution

Detailed explanation

\(\text { Here, } N=1000, I=4\, \mathrm{A}, \phi_{0}=4 \times 10^{-3}\, \mathrm{Wb}\) Total flux linked with the solenoid, \(\phi=N \phi_{0}\)

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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Match Column \(- I\) and Column \(- II\) and choose the correct match from the given choices.

Column \(- I\)	Column \(- II\)
\((A)\) Root mean square speed of gas molecules	\((P)\) \(\frac{1}{3} \mathrm{n} m \bar{v}^{2}\)
\((B)\) Pressure exerted by ideal gas	\((Q)\) \(\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}\)
\((C)\) Average kinetic energy of a molecule	\((R)\) \(\frac{5}{2} \mathrm{RT}\)
\((D)\) Total internal energy of \(1\) mole of a diatomic gas	\((S)\) \(\frac{3}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}\)

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