પેરામેગ્નેટિક ક્ષારમાં \(2.0 \times 10^{24}\) અણુકીય ડાયપોલ છે. દરેકની ડાયપોલ મોમેન્ટ \(1.5 \times 10^{-23} Am ^2\) છે. આ નમૂનામાં મહત્તમ (સંતૃપ્ત) મેગ્નેટાઇઝેશન શોધો.

A \(20 Am ^2\)
B \(30 Am ^2\)
C \(200 Am ^2\)
D \(50 Am ^2\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(30 Am ^2\)

Step-by-step Solution

Detailed explanation

B.\(30 Am ^2\)
\(M _{\max }=n m\)
\(\therefore \quad M_{\max }=2.0 \times 10^{24} \times 1.5 \times 10^{-23}\)
\(\therefore M_{\max }=30 Am ^2\)

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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