Calculate the velocity of a neutron needed to achieve a wavelength of 1.40 å . (take the mass of the neutron m=1.6749×10−27kg). v = m/s

Given:

Wavelength of neutron = 1.40 A

To determine:

the velocity of neutron

Explanation:

The relation between wavelength λ and velocity v can be expressed through the de Broglie relation:

λ = h/mv

where h = planck's constant 6.626*10⁻³⁴ Kg.ms-2

m = mass of neutron = 1.6749*10⁻²⁷ kg

v = h/mλ = 6.626*10⁻³⁴/1.6749*10⁻²⁷*1.40*10⁻¹⁰ = 2.83*10³ m/s

Ans : velocity v = 2.83*10³ m/s