A) \[{{\left( \frac{g+\frac{qE}{m}}{g} \right)}^{1/2}}\]
B) \[{{\left( \frac{g}{g+\frac{qE}{m}} \right)}^{3/2}}\]
C) \[{{\left( \frac{g}{g+\frac{qE}{m}} \right)}^{1/2}}\]
D) None of these
Correct Answer: D
Solution :
Time period of simple pendulum when plates are not changed. \[{{T}_{0}}=2\,\pi \sqrt{\frac{L}{g}}\]where, \[\operatorname{L} = length of string and\]\[\operatorname{g} =acceleration due to gravity\] When plates are charged electric field E will appear. \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{F}_{E}}= qE = mg\] where q is charge on sphere. \[\therefore \] Resultant acceleration is \[g'=g+\frac{qE}{m}\] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,T=2\pi \frac{g}{g+\frac{qE}{m}}\]You need to login to perform this action.
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