33. You pass a basketball past a speed gun while your friend who is holding the

Question

33. You pass a basketball past a speed gun while your friend who is holding the speed gun measures the velocity of the ball. Your friend who is holding the speed gun does not tell you the velocity of the basketball. Rather, he tells you that the basketball has a mass of 649 g and a wavelength of 1.36 x 1034 m. He then asks you to calculate the velocity of the basketball. You say, "No problem, I am taking Gen Chem, and I can make that calculation. The velocity of the ball wasm/s." A) 9.8 m/s B) 10.5 m/s C) 7.5 m/s D) 7.5 x 10-3 m/s E) 9.8 x 10-3 m/s mA rn -34 m Le . o le 2 x10-34 3

Explanation / Answer

De broglie equation states-

wavelength = h/ mv where h= Planck's constant, m= mass of particle and v=velocity of particle.

Here, wavelength of basketball = 1.36 x 10-34 m

mass = 649 g = 0.649 kg

h = 6.626 x 10-34 m2kg s-1

Therefore, velocity of basketball = h/ (wavelength x mass) = (6.626 x 10-34 m2kg s-1 )/ (0.649 kg x 1.36 x 10-34 m)

= 7.50 m/s

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