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| 1. |
A conducting rod of length l is higed at point O. It is free to rotate in a vertical plane. There exists a uniform magnetic field vec(B) in horizontal direction. The rod is released from the position shown in figure. Potential difference between the two ends of the rod is proportional to |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/l-535906" style="font-weight:bold;" target="_blank" title="Click to know more about L">L</a>^(3//<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)`<br/>`l^(2)`<br/>`sin theta`<br/>`(sin theta)^(1//2)` </p>Solution :Potential difference `=(1)/(2)<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a> omega l^(2)`<br/> From energy conservation : <br/>`<a href="https://interviewquestions.tuteehub.com/tag/mg-1095425" style="font-weight:bold;" target="_blank" title="Click to know more about MG">MG</a>.(1)/(2)sin theta =(1)/(2)I omega^(2)`, where `I=(ml^(2))/(3)`<br/>`rArr omega prop (sin theta)^(1//2)rArr <a href="https://interviewquestions.tuteehub.com/tag/e-444102" style="font-weight:bold;" target="_blank" title="Click to know more about E">E</a> prop omega rArr e prop (sin theta)^(1//2)` <br/> Also `e prop l^(2)`.</body></html> | |