Determine the deBroglie wavelength for an electron moving at 7.3 x 107 m/sec.

A. 1.0 x 10-11 m

B. 5.1 x 104 m

C. 5.9 x 10-23 m

D. 2.9 x 10-7 m

Wavelength is obtained by Planck’s constant over the product of mass and velocity.

w = h / mv

w = wavelength

h = Planck’s constant = 6.626 x 10^-34

m = mass (kg) = 9.11 x 10^-31

v = velocity = 7.3 x 10^7 m/sec

Substitute all the given to the formula.

w = 6.626 x 10^-34 / (9.11 x 10^-31) (7.3 x 10^7)

w = 0.00996 nm ≈ 1 x 10^-11 m

The answer is A