\(1200\) આાંટા ધરાવતા સોલેનોઈડને \(2\) મીટર લંબાઈ અને \(0.2\) મીટરનો વ્યાસ ધરાવતી ગલાસની નળી ઉપર એક-સ્તરમાં વીટાળવામાં આવેલ છે. જ્યારે તેમાંથી \(2\) એમ્પિયરનો પ્રવાહ પસાર થાય, ત્યારે સોલેનોઈડના કેન્દ્ર આગળ ચુંબકીયની તીવ્રતા \(..............\) હશે.

A \(2.4 \times 10^3\,A m ^{-1}\)
B \(1.2 \times 10^3\,A m ^{-1}\)
C \(1\,A m ^{-1}\)
D \(2.4 \times 10^{-3}\,A m ^{-1}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(1.2 \times 10^3\,A m ^{-1}\)

Step-by-step Solution

Detailed explanation

Magnetic field at centre inside the solenoid is given by \(B =\mu_0 nI\) So magnetic intensity at centre \(H =\frac{ B }{\mu_0}= nI =\left(\frac{1200}{2}\right)(2)\) \(H =1.2 \times 10^3\,Am ^{-1}\)

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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