Question

How fast must a 56.5-g tennis ball travel in order to have a de Broglie wavelength that is equal to that of a photon of green light (5400 Å)?

Answer 1

Answer:vv

`v=2.17* 10^(-26)\ m/s`

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 =
`56.5\ g=0.0565\ kg`

v is the speed.

Wavelength = 5400 Å =
`5400* 10^(-10)\ m`

Applying in the equation as:-

`5400* 10^(-10)=(6.626* 10^(-34))/(0.0565* v)`

`v=(331300000)/(10^(34)* \:1.5255)\ m/s`

`v=2.17* 10^(-26)\ m/s`