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Question: The de Broglie wavelength associated with a ball of mass 150g travelling at 30 ms<sup>-1</sup>is:...

The de Broglie wavelength associated with a ball of mass 150g travelling at 30 ms-1is:

A

1.47×10−34m1.47 \times 10^{- 34}m

B

1.47×10−16m1.47 \times 10^{- 16}m

C

1.47×10−19m1.47 \times 10^{- 19}m

D

1.47×10−31m1.47 \times 10^{- 31}m

Answer

1.47×10−34m1.47 \times 10^{- 34}m

Explanation

Solution

: Mass of the ball

m=150g=0.15kgm = 150g = 0.15kg

Speed of the ball v=30ms−1v = 30ms^{- 1}

Momentum p=mv=0.15×30=4.5kgms−1p = mv = 0.15 \times 30 = 4.5kgms^{- 1}

De Broglie wavelength

λ=hp=6.63×10−344.5=1.47×10−34\lambda = \frac{h}{p} = \frac{6.63 \times 10^{- 34}}{4.5} = 1.47 \times 10^{- 34}