A) \[k(x_{1}^{2}-x_{2}^{2})\]
B) \[k\left( \frac{x_{1}^{2}}{x_{2}^{2}} \right)\]
C) \[k\,ln\left( \frac{x_{2}^{{}}}{x_{1}^{{}}} \right)\]
D) \[k\,ln\left( \frac{x_{2}^{2}}{x_{1}^{2}} \right)\]
Correct Answer: C
Solution :
As, \[F\propto \frac{1}{B}\,\,\,\Rightarrow \,\,F=\frac{k}{B}\] Now, work done \[W=\int\limits_{{{X}_{1}}}^{{{X}_{2}}}{F.dB=}\int\limits_{{{X}_{1}}}^{{{X}_{2}}}{\frac{k}{B}dB}=k\,\,in\,\,\left( \frac{{{x}_{2}}}{{{x}_{1}}} \right)\]You need to login to perform this action.
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