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

Step-by-step explanation:

The energy of electromagnetic radiation is given by :

`E=h\\u`

Where, h is the Planck's constant

(a) A gamma ray,
`\\u = 1.64* 10^(20)\ Hz`

Energy,

`E=6.63* 10^(-34)* 1.64* 10^(20)\\E=1.08* 10^(-13)\ J`

(b) A microwave,
`\\u = 4.95* 10^(10)\ Hz`

Energy,

`E=6.63* 10^(-34)* 4.95* 10^(10)\\E=3.28* 10^(-23)\ J`

(c) A AM radio wave,
`\\u = 2* 10^(6)\ Hz`

Energy,

`E=6.63* 10^(-34)* 2* 10^(6)\\E=1.32* 10^(-27)\ J`

Therefore, this is the required solution.