The minimum wavelength of X-rays produced in an X-ray tube is $λ$ when the operating voltage is V. What is the minimum wavelength of the X-rays when the operating voltage is $\frac{V}{2}$ ?

$\frac{λ}{2}$

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$λ$

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$2 λ$

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$4 λ$

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Solution

The correct option is C
$2 λ$

We know that, $λ_{m i n} = \frac{h c}{e V} \Rightarrow λ_{m i n} \propto \frac{1}{V}$
$∴$ The wavelength in the second case is $2 λ$ and the correct choice is (c).

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Similar questions

The minimum wavelength of X-rays produced in an X-ray tube is $λ$ when the operating voltage is V. What is the minimum wavelength of the X-rays when the operating voltage is $\frac{V}{2}$ ?

The maximum frequency of X-rays produced in an X-ray tube is $v$ when the operating voltage is $V$ . What is the maximum frequency of the X-rays when the operating voltage is $\frac{V}{2}$ ?

The minimum wavelength of X-rays emitted from an X-ray tube operating at a voltage of $10^{4} V$ is roughly equal to

Δ λ

is the difference between the wavelength of

K_{α}

line and the minimum wavelength of the continuous X-ray spectrum when the X-ray tube is operated at a voltage V. If the operating voltage is changed to

\frac{V}{3}

, then the above difference is

Δ λ^{'}

. Then

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The minimum wavelength of X-rays produced in an X-ray tube is λ when the operating voltage is V. What is the minimum wavelength of the X-rays when the operating voltage is V2?

The correct option is C 2λ We know that, λmin=hceV⇒λmin∝1V ∴ The wavelength in the second case is 2λ and the correct choice is (c).

The minimum wavelength of X-rays produced in an X-ray tube is $λ$ when the operating voltage is V. What is the minimum wavelength of the X-rays when the operating voltage is $\frac{V}{2}$ ?

The correct option is C
$2 λ$

We know that, $λ_{m i n} = \frac{h c}{e V} \Rightarrow λ_{m i n} \propto \frac{1}{V}$
$∴$ The wavelength in the second case is $2 λ$ and the correct choice is (c).