Question

Find the de Broglie wavelength of a ball of mass 0.20 kg just before it strikes the Earth after being |dropped from a building 50 m tall. IMPORTANT: Step by step *typed* format preferred. If hand written, please write clearly and legibly. Please be sure answer is CORRECT. Thanks!

Answer 1

Wavelength of the ball is
`\lambda=1.05* 10^(-34)\ m`

Step-by-step explanation:

It is given that,

Mass of the ball, m = 0.2 kg

It strikes the Earth after being dropped from a building of 50 m tall, h = 50 m

In this time, the potential energy is converted to kinetic energy. On applying the conservation of energy as :

`(1)/(2)mv^2=mgh`

`v=√(2gh)`.............(1)

The De-broglie wavelength of the ball is given by :

`\lambda=(h)/(mv)`

`\lambda=(h)/(m√(2gh))`

`\lambda=(6.63* 10^(-34)\ J-s)/(0.2\ kg* √(2* 9.8\ m/s^2* 50\ m))`

`\lambda=1.05* 10^(-34)\ m`

Hence, this is the required solution.