Calculate the de Broglie wavelength of a proton moving at 24

Calculate the de Broglie wavelength of a proton moving at 2.47 10⁴ m/s and 2.52 10⁸ m/s.

(a)    2.47 10⁴ m/s
m

(b)    2.52 10⁸ m/s
m

Solution

Acccording to the given problem,

Using fallowing expression,

=h/Vm_p Where, h=6.63x10^-34J*s, m_p=1.67265x10^-27 kg.

a) At v = 2.47 * 10⁴

= 6.63x10^-34 /(2.47 * 10⁴*1.67265x10^-27)

= 1.6 * 10^-11m

b) At v = 2.47 * 10⁴

= 6.63x10^-34 /(2.52 * 10⁸*1.67265x10^-27)

= 1.573 * 10^-15m