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Question

An electron beam after collision with the target produces X-rays of wavelength $4 A^{0}$ . The velocity of the electron beam is

A

$3.31 \times 1 0^{7} m / s$

B

$6.31 \times 1 0^{7} m / s$

C

$8.31 \times 1 0^{7} m / s$

D

$9.31 \times 1 0^{7} m / s$

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Solution

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Correct option is B)

Energy of x-ray beam $= \frac{h c}{λ} = 4.95 * 1 0^{- 16} J = \frac{1}{2} m v^{2}$ and it gives $v = 6.31 * 1 0^{7}$ m/s.
So, the answer is option (B).

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