Question

Compute the associated wavelength of a 0.01eV(~thermal) and a high fission neutron of 10 MeV of kinetic energy. Hint: Ask yourself if you will need to consider relativistic effects for this particle.

Answer 1

Step-by-step explanation:

It is given that,

1. Energy of neutron,
`E_1=0.01\ eV=0.01* 1.6* 10^(-19)\ J=1.6* 10^(-21)\ J`

The energy of neutron is given by :

`E_1=(hc)/(\lambda_1)`

`\lambda_1=(hc)/(E_1)`

`\lambda=(6.63* 10^(-34)* 3* 10^8)/(1.6* 10^(-21))`

`\lambda_1=1.24* 10^(-4)\ m`

2.
`E_2=10\ MeV=10^7\ eV=1.6* 10^(-19)* 10^7=1.6* 10^(-12)\ J`

The energy of neutron is given by :

`E=(hc)/(\lambda)`

`\lambda_2=(hc)/(E_2)`

`\lambda_2=(6.63* 10^(-34)* 3* 10^8)/(1.6* 10^(-12))`

`\lambda_2=1.24* 10^(-13)\ m`

Hence, this is the required solution.