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Two large vertical and parallel metal pl...

Two large vertical and parallel metal plates having a separation of 1cm are connected to a DC voltage source of potential difference X. A proton is released at rest midway between the two plates. It is found to move at `45^@` to the vertical JUST after release. Then X is nearly

A

(a) `1xx10^-5V`

B

(b) `1xx10^-7V`

C

(c) `1xx10^-9V`

D

(d) `1xx10^-10V`

Text Solution

Verified by Experts

The correct Answer is:
C
The two forces acting on the proton just after the release are shown in the figure. In this istuation `qE=mg` `[:. theta=45^@]`
`:.` `q(V/d)=mg`
`:.` `V=(mgd)/(q)=(1.67xx10^-27xx10xx10^-2)/(1.6xx10^-19)=10^-9V`
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