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

Answer:

Frequency, $\nu=1.96\times 10^{20}\ Hz$

Explanation:

Given that,

Energy of a gamma rays, $E=0.815\ MeV=0.815\times 10^6\ eV$

Since, $1\ eV=1.6\times 10^{-19}\ J$

$0.815\times 10^6\ eV=0.815\times 10^6\times 1.6\times 10^{-19}\ J$

$E=1.304\times 10^{-13}\ J$

The energy of a wave is given by :

$E=h\nu$

$\nu$ is the frequency of such a photon

$\nu=\dfrac{E}{h}$

$\nu=\dfrac{1.304\times 10^{-13}\ J}{6.63\times 10^{-34}\ Js}$

$\nu=1.96\times 10^{20}\ Hz$

So, the frequency of such a photon is $1.96\times 10^{20}\ Hz$. Hence, this is the required solution.