એક ગજીયા ચુંબક માટે ચુંબકીય ચાકમાત્રા \(0.5 \mathrm{Am}^2\) છે. તેને \(8 \times 10^{-2} \mathrm{~T}\) ધરાવતા સમાન (નિયમિત) ચુંબકીયક્ષેત્રમાં લટકાવવામાં આવે છે. તેની સૌથી સ્થાય (સ્થિર) સ્થિતિમાંથી સૌથી અસ્થિર સ્થિતિમાં ભ્રમણ કરાવવા કરવું પડતું કાર્ય _______ થશે.

A \(16 \times 10^{-2} \mathrm{~J}\)
B \(8 \times 10^{-2} \mathrm{~J}\)
C \(4 \times 10^{-2} \mathrm{~J}\)
D શૂન્ય

Verified Solution

Answer & Solution

Correct Answer

(B) \(8 \times 10^{-2} \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

At stable equilibrium \(\mathrm{U}=-\mathrm{mB} \cos 0^{\circ}=-\mathrm{mB}\) At unstable equilibrium \(\mathrm{U}=-\mathrm{mB} \cos 180^{\circ}=+\mathrm{mB}\) \(\mathrm{W}=\Delta \mathrm{U}\) \(\text { W.D. }=2 \mathrm{mB}\)…

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