Q149 / 200 · NEET 2023 (All India) · Physics

The minimum wavelength of $X$ -rays produced by an electron accelerated through a potential difference of $V$ volts is proportional to:

A
$V^{2}$
B
$\sqrt{V}$
Correct answer
C
$\frac{1}{V}$
D
$\frac{1}{\sqrt{V}}$

Solution

Minimum wavelength means maximum energy as $E = \frac{h c}{λ}$ .
Therefore,
$e V = \frac{h c}{λ_{m i n}} \Rightarrow λ_{m i n} = \frac{h c}{e V} \Rightarrow λ_{m i n} \propto \frac{1}{V}$

Hence, the correct answer is option: 'C'.

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The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of V volts is proportional to:

Solution

Relevant Questions

The minimum wavelength of $X$ -rays produced by an electron accelerated through a potential difference of $V$ volts is proportional to: