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Question: The de Broglie wavelength associated with a ball of mass 200 g and moving at a speed of 5 metres/hou...

The de Broglie wavelength associated with a ball of mass 200 g and moving at a speed of 5 metres/hour, in of the order of (h=6.625×10−34Jh = 6.625 \times 10^{- 34}Js) is

A

10−15m10^{- 15}m

B

10−20m10^{- 20}m

C

10−25m10^{- 25}m

D

10−30m10^{- 30}m

Answer

10−30m10^{- 30}m

Explanation

Solution

: According to de Broglie’s equation

λ=hmv\lambda = \frac{h}{mv}

λ=6.625×10−34200100×53600\lambda = \frac{6.625 \times 10^{- 34}}{\frac{200}{100} \times \frac{5}{3600}}

λ=6.625×10−34×105×36103\lambda = \frac{6.625 \times 10^{- 34} \times 10^{5} \times 36}{10^{3}}

λ=2.385×10−30m\lambda = 2.385 \times 10^{- 30}m