Question

what will be the wave length of neutron having an energy equal to 0.06eV?​

Answer 1

Explanation:

(a)The De Broglie wavelength of the neutron is =2.327×10

−12

m.

Kinetic energy of the neutron, K=150eV

=150×1.6×10

−19

=2.4×10

−19

J

Mass of a neutron, m

e

=1.675×10

−27

kg

The relation that gives the kinetic energy of neutron is:.

K=

2

1

m

e

v

2

m

e

v=

Km

e

De-Broglie wavelength of the neutron is given as;

λ=

m

e

v

h

λ=

2Km

e

h

The wavelength of the neutron is inversely proportional to the square root of its mass. So, there will be a decrease in wavelength with increase in mass and vice versa.

∴λ=

2×2.4×10

−17

×1.675×10

−27

6.6×10

−34

=2.327×10

−12

m

So, the neutron beam of the same energy (150eV) will not be suitable.