Question

Problem Solving: Show your solution:
Calculate the wavelengths of the following electromagnetic waves.
a) Microwave in an oven with a frequency of 2.45 GHz.
b) Radio waves used by submarines with a frequency of 24 kHz

Answer 1

Answer:

(a) λ = 0.1224 m

(b) λ = 12500 m = 12.5 km

Explanation:

The wavelength can be calculated with the help of the frequency of the waves. The formula utilized for this purpose is given as follows:

$\lambda = \frac{c}{f}$

where,

c = speed of light = 3 x 10⁸ m/s

λ = wavelength of the wave

f =  frequency of the wave

(a)

f = 2.45 GHz = 2.45 x 10⁹ Hz

λ = ?

Therefore,

$\lambda = \frac{3\ x\ 10^{8}\ m/s}{2.45\ x\ 10^{9}\ Hz}$

λ = 0.1224 m

(b)

f = 24 KHz = 2.45 x 10³ Hz

λ = ?

Therefore,

$\lambda = \frac{3\ x\ 10^{8}\ m/s}{24\ x\ 10^{3}\ Hz}$

λ = 12500 m = 12.5 km