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At what velocity does a proton have a wavelength of 13.2 fm (about the size of a

ID: 1466052 • Letter: A

Question

At what velocity does a proton have a wavelength of 13.2 fm (about the size of a large nucleus)? Use nonrelativistic calculations. (1 femtometer = 10-15 m.) m/s ( plusminus 1E6 m/s) What is the velocity of a 0.400-kg billiard ball if its wavelength is 6.0cm (large enough for it to interfere with other billiard balls)? m/s ( plusminus 1E-33 m/s) This is a much smaller speed than what the air molecules pushing on the ball will give it. So we'll never see interference with the large objects around us.

Explanation / Answer

Multiple questions asked I am allowed to solve only 1 question at a time.

a) Here we have simple formula :

= h/p = h/mv

v = h/m ======== 6.63×1034Js / ( 1.67×1027kg ) * ( 13.2×1015m)

v = 3.0076211 * 10 ^ 7 m/s ================ANSWER)

b) will use the same formula we used above :

v = h/m = 6.63×1034Js / ( 0.400kg ) * ( 6×102m)

v = 2.7625 * 10 ^ -32 m/s ================ANSWER)