Question

1. What is the wavelength of a neutron moving at 10m/s. SHow work.

2.

Answer 1

according to quantum mechanics , there is associated a wave with every matter particle.

louis de broglie given a principal which explain a relation between wavelength of associated wave and particles momentum.

which stated as momentum of particle is ratio of plank's constant and wavelength of associated wave.

p=h/

momentum p=mv

so, mv=h/

so, we can write

=h/mv ............. equation (1)

now , given that mass of neutron m = 1.674927471×10⁻²⁷ kg

plank's constant h= 6.62607004 × 10^-34 m² kg / s

velocity of neutron v=10 m/s

so, let's putting values in equation (1)

= (6.62607004 × 10^-34 m² kg / s)/((1.674927471×10⁻²⁷ kg)(10 m/s))

=3.95605708e-8 m

this is the wavelength of neutron.