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