એક ફેરોમેગ્નેટિક પદાર્થ સમઘન આકારનો ડોમેઇન રચાય છે. આ ડોમેઇનની પ્રત્યેક બાજુ \(2 \mu m\) છે. આ ડોમેઇનમાં \(4 \times 10^{10}\) પરમાણુ છે. અને દરેક પરમાણુની ચુંબકીય ચાકમાત્રા \(16 \times 10^{-24} Am ^2\) છે. આ ડોમેઇનનું મેગ્નેટાઇઝેશન __________ \(A m^{-1}\) થાય.

A 8 × 10⁴
B 7.2 × 10⁴
C 3.6 × 10⁴
D 64 × 10⁴

Verified Solution

Answer & Solution

Correct Answer

(A) 8 × 10⁴

Step-by-step Solution

Detailed explanation

A.8 × 10⁴
મેગ્નેટાઇઝેશન
\(M =\frac{n m}{V}\)
\(\therefore \quad M=\frac{4 \times 10^{10} \times 16 \times 10^{-24}}{\left(2 \times 10^{-6}\right)^3}\)
\(\therefore \quad M =8 \times 10^4 Am ^{-1}\)

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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