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Two concentric spherical shells have rad...

Two concentric spherical shells have radii `0.15m` and `0.3m`. The inner part is given a charge `-6xx10^(-2)mu C` and electron escapes from the inner sphere with negligible speed ,Assuming that the region between the sphere is vaccum ,the speed with which it wil strike the outer sphere is `x xx 10^(6)ms^(-1)` .Find the value of `x`?
`(e)/(m)"for electron"=1.76xx10^(11)Ckg^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
8
Gain `K.E =e=(V_(2)-V_(1))`
`rArr (1)/(2)mv^(2) =e(1)/(4piepsilon_(0))q((1)/(a)-(1)/(b))`
`V^(2)=(2e)/(m)[(1)/(4piepsilon_(0))q(ab)/(b-a)]`
` rArr v=8xx10^(6)ms^(-1)=x xx10^(6) x=8`
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