Calculate the wavelength of an electron (m = 9.11 x 10-28 g) moving at 3.66 x 106 m/s. a. 1.99 x 10-10 m b. 5.03 x 10-10 m c. 1.81 x 10-10 m d. 5.52 x 10-9 m e. 2.76 x 10-9 m

To answer this question, we will use De Broglie's rule which states that:
lambda = Planck's constant / momentum
Since: momentum = mass * velocity
Therefore,
lambda = Planck's constant / (mass*velocity)

For this problem, we are give that:
h (Planck's constant) = 6.63 * 10^-34
mass = 9.11 * 10^-28 * 10^-3 kg
velocity = 3.66 * 10^6 meter/sec

Substitute in De Brouglie's formula to get the wavelength as follows:
lambda = (6.63*10^-34) / (9.11*10^-28*10^-3*3.66*10^6)
lambda = 1.99 * 10^-10 meters

Correct choice is A

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