Diffraction effects become significant when the width of an aperture is comparab

Question

Diffraction effects become significant when the width of an aperture is comparable to the wavelength of the waves being diffracted.

A-At what speed will the de Broglie wavelength of a 68?kg student be equal to the 0.75?m width of a doorway?

Express your answer using two significant figures.

B- At this speed, how long will it take the student to travel a distance of 1.0 mm? (For comparison, the age of the universe is approximately 4

B- At this speed, how long will it take the student to travel a distance of 1.0 mm? (For comparison, the age of the universe is approximately 4

Explanation / Answer

a)

De brogglie wavelength , L = h/mv

where h = Plank's constant = 6.63*10^-34

m = 68 kg

L = 0.75 m = h/(68*v) = 6.63*10^-34/(68*v)

So, v = 1.3*10^-35 m/s <--------answer

b)

time taken = 1*10^-3/(1.3*10^-35) = 7.7*10^31 s

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