Question

Gamma rays (γ-rays) are high-energy photons. In a certain nuclear reaction, a γ-ray of energy 0.815 MeV (million electronvolts) is produced. Compute the frequency of such a photon. Answer must be in Hz.

Answer 1

Frequency,
`\\u=1.96* 10^(20)\ Hz`

Step-by-step explanation:

Given that,

Energy of a gamma rays,
`E=0.815\ MeV=0.815* 10^6\ eV`

Since,
`1\ eV=1.6* 10^(-19)\ J`

`0.815* 10^6\ eV=0.815* 10^6* 1.6* 10^(-19)\ J`

`E=1.304* 10^(-13)\ J`

The energy of a wave is given by :

`E=h\\u`

`\\u` is the frequency of such a photon

`\\u=(E)/(h)`

`\\u=(1.304* 10^(-13)\ J)/(6.63* 10^(-34)\ Js)`

`\\u=1.96* 10^(20)\ Hz`

So, the frequency of such a photon is
`1.96* 10^(20)\ Hz`. Hence, this is the required solution.