Q.

In Millikan's oil drop experiment an oil drop of radius r and change Q is held in equilibrium between the plates of a charged parallel plate capacitor when the potential difference is V. To keep a drop of radius 2 r and with a charge 2 Q in equilibrium between the plates the  potential difference V' required is:

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a

2V

b

V

c

4V

d

8V

answer is C.

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Detailed Solution

In Millikan's oil drop experiment,
qE = Mg 

Here   R=vdandM=43πr3ρqVd=43πr3ρgor     V=dq43πr3ρg=r3q43πρdgForsecondooildrop,V'=2r32q43πρdgV'V=4  or  V'=4V

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