Electrostatics Question 256

Question: Two point charges $ +q $ and $ -q $ are held fixed at $ (-d,0) $ and $ (d,0) $ respectively of a $ (X,Y) $ coordinate system. Then [IIT 1995]

Options:

A) $ {{( \frac{g+\frac{qE}{m}}{g} )}^{1/2}} $

B) $ {{( \frac{g}{g+\frac{qE}{m}} )}^{3/2}} $

C) $ {{( \frac{g}{g+\frac{qE}{m}} )}^{1/2}} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Net downward force $ mg’=mg+QE $

therefore Effect acceleration $ g’=( g+\frac{QE}{m} ) $

Hence time period $ T=2\pi \sqrt{\frac{l}{g’}}=2\pi \sqrt{\frac{l}{( g+\frac{QE}{m} )}} $



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