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Question

Question: If the electron has same momentum as that of a photon of wavelength 5200Å, then the velocity of elec...

If the electron has same momentum as that of a photon of wavelength 5200Å, then the velocity of electron in m /sec is given by

A

103

B

1.4 × 103

C

7 × 10–5

D

7.2 × 106

Answer

1.4 × 103

Explanation

Solution

λ=hmv\lambda = \frac{h}{mv}v=hmλ=6.6×10349.1×1031×5200×1010v = \frac{h}{m\lambda} = \frac{6.6 \times 10^{- 34}}{9.1 \times 10^{- 31} \times 5200 \times 10^{- 10}}

v = 1.4 × 103 m/s.