De Broglie wavelength of an ant

[DunceMoin]

An ant of mass m = 1.80×10−6 kg goes through a hole of diameter D = 5.00 mm in a window screen which has thickness L = 0.600 mm.

(a) What should be the approximate wavelength and speed of the ant for it to show wave behavior as it goes through the hole?

I am not sure what should the approximate wavelength be. Should it be of the order of the diameter of hole? If not, what's the concept involved? Also, once we have wavelength, the speed should be very simple to calculate from de Broglie's formula.

 

[TSny]

Hello and welcome to PF!

I think you have the right idea: the wavelength should be of the order of the diameter of the hole.

 

[Suraj M]

wavelength should be of the order of the diameter of the hole

Shouldn't amplitude be of the order of the radius? just asking.

 

[TSny]

Shouldn't amplitude be of the order of the radius? just asking.

I don't believe so. The amplitude of a wave does not have a direct effect on the amount of diffraction.