Question

What is the wavelength of the matter wave associated with earth moving along its orbit around the sun?

Answer 1

`\lambda=3.7* 10^(-63)\ m`

Step-by-step explanation:

The expression for the deBroglie wavelength is:

`\lambda=\frac {h}{m* v}`

Where,

`\lambda` is the deBroglie wavelength

h is Plank's constant having value
`6.626* 10^(-34)\ Js`

m is the mass of the matter associated with Earth

Mass of Earth =
`5.972* 10^(24)\ kg`

v is the speed of the matter associated with Earth.

Velocity of Earth =
`30000\ m/s`

Applying in the equation as:

`\lambda=\frac {h}{m* v}`

`\lambda=(6.626* 10^(-34))/(5.972* 10^(24)* 30000)\ m`

`\lambda==(10^(-34)* \:6.626)/(10^(24)* \:179160)\ m`

`\lambda==(6.626)/(10^(58)* \:179160)\ m`

`\lambda=3.7* 10^(-63)\ m`