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If an electron is moving around a nucleu...

If an electron is moving around a nucleus of charge `3theta`in a circular orbit of radius `10^(-10)`m,then calculate the initial frequency of light emitted by the electron.

A

`4.2times10^(15)Hz`

B

`0.36times10^(15)Hz`

C

`3.6times10^(15)Hz`

D

`4.2times10^(15)Hz`

Text Solution

Verified by Experts

The correct Answer is:
C
We know that, `(mv^(2))/r=(2theta^(2))/(5pivarepsilon_(0)r^(2))or v=((2theta^(2))/(4pivarepsilon_(0)mr))^(1//2)`
Also,frequency=f=`v/(2pir)= ((2theta^(2))/(4pivarepsilon_(0)mr))^(1//2)times1/2pir`
therefore`f=((1.414)(9times10^(9))^(1//2)times1.6times10^(-19))/((9.1times10^(-31))^(1//2)times2pi(10^(-10))^(3//2))`
cong`3.6times10^(15)Hz`
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