एक विद्युत द्विध्रुव जिसका द्विध्रुव आघूर्ण \(5 \times 10^{-6} Cm\) है, \(4 \times 10^5 N / C\) परिमाण के एकसमान विद्युत क्षेत्र की दिशा में संरेखित है। द्विध्रुव को फिर विद्युत क्षेत्र के सापेक्ष \(60^{\circ}\) के कोण से घुमाया जाता है। द्विध्रुव की स्थितिज ऊर्जा में परिवर्तन ‾‾‾‾‾‾‾‾ है:

A 0.8 J
B 1.0 J
C 1.2 J
D 1.5 J

Verified Solution

Answer & Solution

Correct Answer

(B) 1.0 J

Step-by-step Solution

Detailed explanation

दिया है,
\(p =5 \times 10^{-6} Cm \)
\( E =4 \times 10^5 N / C \)
\( \theta_{ i }=0^{\circ}, \theta_{ f }=60^{\circ} \)
\( \Delta U = U _{ f }- U _{ i } \)
\( =- pE \cos \theta_{ f }-\left(- pE \cos \theta_{ i }\right) \)
\( \Rightarrow pE \left(\cos \theta_{ i }-\cos \theta_{ f }\right) \)
\( \Rightarrow 5 \times 10^{-6} \times 4 \times 10^5\left(1-\frac{1}{2}\right)=1 J\)

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 NEET

Explore more questions on app