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JAMB Physics 2017 Paper

Question : 23

Total: 49

^{-1}

. Calculate the wavelength of the radio wave

Solution:

Concept:

Radio waves travel at the speed of light, and wavelength is found using the wave equation

v = f\lambda

Explanation:

The broadcast frequency is

f = 600\ \text{kHz}

Convert this to hertz:

f = 600 \times 10^3\ \text{Hz}

The speed of the wave in air is

v = 3 \times 10^8\ \text{m/s}

Using

v = f\lambda

, the wavelength is:

\lambda = \frac{v}{f}

Substitute the values:

\lambda = \frac{3 \times 10^8}{600 \times 10^3}

Simplify the expression:

\lambda = \frac{3 \times 10^8}{6 \times 10^5}

\lambda = 0.5 \times 10^3\ \text{m}

So,

\lambda = 500\ \text{m} = 5.0 \times 10^2\ \text{m}

This corresponds to option B.

Answer:

5.0 \times 10^2\ \text{m}

(Option B).

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