If the electron has same momentum as that of a photon of wavelength 5200 ∘ A , then the velocity of electron in m /sec is given by Options: A . &nbsp103 B . &nbsp1.4×103 C . &nbsp7×10−5 D . &nbsp7.2×106

If the electron has same momentum as that of a photon of wavelength 5200∘

Question

If the electron has same momentum as that of a photon of wavelength

5200 \circ A

, then the velocity of electron in m /sec is given by

Options:

A . 103

B . 1.4×103

C . 7×10−5

D . 7.2×106

Answer: Option B
:
B
If momenta of the electron and photon are equal, their wavelenghths should also be equal.

λ = \frac{h}{m v} \Rightarrow v = \frac{h}{m λ} = \frac{6.6 \times 10^{- 34}}{9.1 \times 10^{- 31} \times 5200 \times 10^{- 10}} \Rightarrow v = 1.4 \times 10^{3} m / s

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