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In the figure shown a ball is suspended ...

In the figure shown a ball is suspended from the ceiling of a room in a uniform electric field of magnitude `2xx10^(4)` V/m . If the mass of the ball is 25 g and the charge on the ball is `3muC` . The angle `theta` is `(g=9.8ms^(-2))`

A

`14^(@)`

B

`22^(@)`

C

`34^(@)`

D

`76^(@)`

Text Solution

Verified by Experts

The correct Answer is:
a
`Tsintheta=qE=3xx10^(-6)xx2xx10^(4)` …. (i)
`Tcostheta=mg=25xx10^(-3)xx9.8` …(ii)
`tantheta=(6xx10^(-2))/(25xx9.8xx10^(-3))`
`=(60)/(25xx9.8)=(12)/(5xx9.8)`
`tantheta=theta=(12)/(49)` radians
`=(12)/(49)xx(180^(@))/(pi)=14^(@)`
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