Question

Calculate The De Broglie Wavelength Of A Neutron Traveling At 1% The Speed Of Light. Enter Your Answer In Picometers

Answer 1

0.132 pm

Step-by-step explanation:

De Broglie Wavelength is

`{\displaystyle ~\lambda ={\frac {h}{mv}}.}`

or

wavelength = h / (m * v)

To calculate the De Broglie wavelength of a neutron traveling at 1% the speed of light, you will need to know the mass of the neutron and the speed of light. The mass of a neutron is about 1.675 x 10^-27 kilograms, and the speed of light is about 3.00*10^8 meters per second.

Plugging in these values, you get:

wavelength = 6.626 x 10^-34 J * s / (1.675 x 10^-27 kg * (0.01 * 3.00x10^8 m/s))

Simplifying this equation, you get:

wavelength = 1.3186x10^-13 meters

(1.3186x10^-13 meters) * (1 picometer / 10^-12 meter) =

0.132 picometers