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Question

Question: The wavelength of an electron moving with velocity of \(10^{7}ms^{- 1}\)is....

The wavelength of an electron moving with velocity of 107ms110^{7}ms^{- 1}is.

A

7.27×1011m7.27 \times 10^{- 11}m

B

3.55×1011m3.55 \times 10^{- 11}m

C

8.25×104m8.25 \times 10^{- 4}m

D

1.05×1016m1.05 \times 10^{- 16}m

Answer

7.27×1011m7.27 \times 10^{- 11}m

Explanation

Solution

: λ=hmv=6.626×1034Js9.11×1031kg×107ms1=7.27×1011m\lambda = \frac{h}{mv} = \frac{6.626 \times 10^{- 34}Js}{9.11 \times 10^{- 31}kg \times 10^{7}ms^{- 1}} = 7.27 \times 10^{- 11}m