એક અનુચુંબકીય પદાર્થને \(1 \,cm\) બાજુ ધરાવતા એક ઘન સ્વરૂપે લેવામાં આવે છે. જ્યારે ચુંબકીય તીવ્રતા \(60\times 10^3\, A/m\) આપવામાં આવે ત્યારે તેની ચુંબકીય દ્વિધ્રુવી ચાકમાત્રા \(20 \times 10^{-6}\,J/T\) થાય છે. તેની ચુંબકીય સસેપ્ટીબિલીટી કેટલી હશે?

A \(3.3 \times {10^{ - 2}}\)
B \(40.3 \times {10^{ - 2}}\)
C \(2.3 \times {10^{ - 2}}\)
D \(3.3 \times {10^{ - 4}}\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(3.3 \times {10^{ - 4}}\)

Step-by-step Solution

Detailed explanation

\({\chi=\frac{1}{\mathrm{H}}}\) \({\mathrm{I}=\frac{\text { Magnetic moment }}{\text { Volume }}}\) \({\mathrm{I}=\frac{20 \times 10^{-6}}{10^{-6}}=20\, \mathrm{N} / \mathrm{m}^{2}}\) \({x=\frac{20}{60 \times 10^{3}}=\frac{1}{3} \times 10^{-3}}\)…

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.

Same subject

Explore more questions on app

From JEE Mains

Explore more questions on app