Question

What is the de Broglie wavelength of an object with a mass of 2.50 kg moving at a speed of 2.70 m/s? (Useful constant: h = 6.63×10-34 Js.)

Answer 1

9.82 ×
`10^(-35)` Hz

Step-by-step explanation:

De Broglie equation is used to determine the wavelength of a particle (e.g electron) in motion. It is given as:

λ =
`(h)/(mv)`

where: λ is the required wavelength of the moving electron, h is the Planck's constant, m is the mass of the particle, v is its speed.

Given that: h = 6.63 ×
`10^(-34)` Js, m = 2.50 kg, v = 2.70 m/s, the wavelength, λ, can be determined as follows;

λ =
`(h)/(mv)`

=
`(6.63*10^(-34) )/(2.5*2.7)`

=
`(6.63 * 10^(-34) )/(6.75)`

= 9.8222 ×
`10^(-35)`

The wavelength of the object is 9.82 ×
`10^(-35)` Hz.