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Asked by Raindial Last Modified
Answer To calculate the wavelength of the cricket ball, we'll use the de Broglie wavelength formula:
λ=hpλ=ph
Where:
The momentum (pp) of the cricket ball can be calculated using the formula:
p=mvp=mv
Where:
Given:
First, we need to convert the velocity to meters per second (m/s):
100 km/h=100×1000/3600 m/s
=100000/3600 m/s
=27.78 m/s
Now, we can calculate the momentum (pp):
p=(0.1 kg)×(27.78 m/s)p=(0.1kg)×(27.78m/s) p=2.778 kg m/sp
Now, we can calculate the wavelength (λλ):
λ=6.626×10−34 m2kg/s2.778 kg m/sλ=2.778kg m/s6.626×10−34m2kg/s λ≈2.384×10−34 mλ≈2.384×10−34m
Explanation: The wavelength of the cricket ball is incredibly small (on the order of 10−34meters), which is far too small to be observable or relevant at the macroscopic scale of everyday objects. Therefore, despite having a wave-like nature according to de Broglie's hypothesis, it does not exhibit wave-like behavior in its motion because the wavelength is negligible compared to the size of the cricket ball and the distances involved in its motion.
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