A) \[\frac{\rho }{4\pi }\left( \frac{1}{a}-\frac{1}{b} \right)\]
B) \[\frac{\rho }{2\pi }\left( \frac{1}{a}-\frac{1}{b} \right)\]
C) \[\frac{\rho }{2\pi }\left( \frac{1}{a}+\frac{1}{b} \right)\]
D) \[\frac{\rho }{4\pi }\left( \frac{1}{a}+\frac{1}{b} \right)\]
Correct Answer: A
Solution :
\[dR=\rho .\frac{dx}{4\pi {{x}^{2}}}\] \[\int_{{}}^{{}}{dR}=\rho .\int\limits_{a}^{b}{\frac{dx}{4\pi {{x}^{2}}}}\] \[R=\frac{\rho }{4\pi }\left[ -\frac{1}{x} \right]_{a}^{b}\] \[R=\frac{\rho }{4\pi }\left( \frac{1}{a}-\frac{1}{b} \right)\]You need to login to perform this action.
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