Question

Typical frequencies for several types of electromagnetic radiation are given below. Calculate the energy of each type of radiation.
a. A gamma ray: ν = 1.64 ✕ 10^20 s^−1
b. A microwave: ν = 4.95 ✕ 10^10 s^−1
c. An AM radio wave: ν = 2.00 ✕ 10^6 s^−1

Answer 1

Explanation:

The energy of electromagnetic radiation is given by :

$E=h\nu$

Where, h is the Planck's constant

(a) A gamma ray, $\nu = 1.64\times 10^{20}\ Hz$

Energy,

$E=6.63\times 10^{-34}\times 1.64\times 10^{20}\\E=1.08\times 10^{-13}\ J$

(b) A microwave, $\nu = 4.95\times 10^{10}\ Hz$

Energy,

$E=6.63\times 10^{-34}\times 4.95\times 10^{10}\\E=3.28\times 10^{-23}\ J$

(c) A AM radio wave, $\nu = 2\times 10^{6}\ Hz$

Energy,

$E=6.63\times 10^{-34}\times 2\times 10^{6}\\E=1.32\times 10^{-27}\ J$

Therefore, this is the required solution.