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Question

The maximum frequency of X-rays produced by electrons accelerated through V volt is proportional to
V
$\frac{1}{V}$
$V^{2}$
$\frac{1}{V^{2}}$

A

V

B

V^{2}

C

\frac{1}{V}

D

\frac{1}{V^{2}}

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Solution

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If electrons are accelerated to a velocity v by a potential difference V and then allowed to collide with a metal target, the maximum frequency of the X-rays emitted is given by the equation:
$m v^{2} = e V = h f$
So, X ray frequency $f = e V / h$
This shows that the maximum frequency is directly proportional to the accelerating voltage.

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