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Question: The de-Broglie wavelength associated with a particle of mass \(10^{- 6}kg\) moving with a velocity o...

The de-Broglie wavelength associated with a particle of mass 10−6kg10^{- 6}kg moving with a velocity of 10ms−110ms^{- 1}, is

A

6.63×10−22m6.63 \times 10^{- 22}m

B

6.63×10−29m6.63 \times 10^{- 29}m

C

6.63×10−31m6.63 \times 10^{- 31}m

D

6.63×10−34m6.63 \times 10^{- 34}m

Answer

6.63×10−29m6.63 \times 10^{- 29}m

Explanation

Solution

Mass of the particle (m)=10−6(m) = 10^{- 6}kg and velocity of the particle (v)=10ms−1(v) = 10ms^{- 1}

λ=hmv=6.63×10−3410−6×10=6.63×10−29m\lambda = \frac{h}{mv} = \frac{6.63 \times 10^{- 34}}{10^{- 6} \times 10} = 6.63 \times 10^{- 29}m