de Broglie waves associated with a moving cricket ball cannot be detected. Justify.

Asked by  | 21st Mar, 2009, 10:57: AM

Expert Answer:

Let cricket ball has a mass of 0,150 kg and is bowled towards a bowler at
40m · s−1. Calculate the de Broglie wavelength of the cricket ball?
Step 1 : Determine what is required and how to approach the problem
We are required to calculate the de Broglie wavelength of a cricket ball given its
mass and speed. We can do this by using:
λ =h/mv
Step 2 : Determine what is given
We are given:
• The mass of the cricket ball m = 0,150 kg
• The velocity of the cricket ball v = 40m· s−1
and we know:
• Planck’s constant h = 6,63 × 10−34 J · s
Step 3 : Calculate the de Broglie wavelength
λ =h/mv=6,63 × 10−34 J · s(0,150 kg)(40 m · s−1)= 1,10 × 10−34m
This wavelength is considerably smaller than the diameter of a proton which is approximately
10−15 m. Hence the wave-like properties of this cricket ball are too small to be observed.

Answered by  | 29th Mar, 2009, 03:13: AM

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