Question

In: Chemistry

Why do baseballs not diffract? Why are baseballs not particle-waves?

Why do baseballs not diffract? Why are baseballs not particle-waves?

Solutions

Expert Solution

The de-Broglie equation for matter waves is given by-

....(1)

Immediately from the equation we see that the de-Broglie wavelength and mass are inversely proportional.This is why the wavelike properties of the macroscopic objects such as interference and diffraction are not observed.

According to the question,we take the example of a baseball.The mass of a baseball is approximately 0.145 kg and the fastest baseball pitch recorded is 46.7 m/s. Plugging the value of Plank's constant alongwith the m and v values for baseball into eqn 1,we get -

From the above result,baseball can also show its wavelike properties but wavelength at order of a meter is beyond our human observation.So we do not notice the particlelike properties of baseball like macroscopic objects.


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