Question

Compare the de Broglie wavelength of an electron moving at 1.30x107 miles per hour (5.81x10 m/s) to that of a (31.3 m/s) and a proton with a speed of 1.30x107 miles per hour (5.81x10 m/s). Louis de Broglie Which region of the electromagnetic spectrum are each of these wavelengths near? A. Ultraviolet B. X-ray C. Gamma ray D. Smaller than 10-8 to 10-7 meters 10-11 to 10-8 meters 10-16 to 10-11 meters 10-20 meters. Cannot detect wave-like properties. Only particle-like behavior will be observable. Region Particle Mass (kg) Velocity (m/s) Wavelength (m) electron 9.11*10-31 5.81*106 golf ball 4.50 10-2 31.3 proton 1.67-10-27 5.51 106 Submit Answer Retry Entire Group 3 more group attempts remaining

Answer 1

1)

so, we have:

v = 5.81*10^6 m/s

mass, m = 9.11*10^-31 kg

use:

lambda = h / (m*v)

lambda = (6.626*10^-34) / (9.11*10^-31*5.81*10^6)

lambda = 1.252*10^-10 m

Answer:

1.25*10^-10 m

Region B

2)

so, we have:

v = 31.3 m/s

mass, m = 4.5*10^-2 kg

use:

lambda = h / (m*v)

lambda = (6.626*10^-34) / (4.5*10^-2*31.3)

lambda = 4.704*10^-34 m

Answer:

4.70*10^-34 m

Region D

3)

so, we have:

v = 5.81*10^6 m/s

mass, m = 1.67*10^-27 kg

use:

lambda = h / (m*v)

lambda = (6.626*10^-34) / (1.67*10^-27*5.81*10^6)

lambda = 6.829*10^-14 m

Answer:

6.829*10^-14 m

Region C