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WAEC Physics 2011 Paper

Question : 31

Total: 49

two sound waves have frequencies of 12Hz and 10Hz. Calculate their beats period

Solution:

Concept:

Beats are produced when two sound waves of slightly different frequencies interfere. The beat period is the reciprocal of the beat frequency.

Explanation:

The beat frequency is the difference between the two frequencies.

f_{\text{beat}} = f_1 - f_2

Given

f_1 = 12\text{ Hz}

and

f_2 = 10\text{ Hz}

f_{\text{beat}} = 12 - 10 = 2\text{ Hz}

The beat period is the reciprocal of the beat frequency:

T = \frac{1}{f_{\text{beat}}}

T = \frac{1}{2} = 0.5\text{ s}

Answer:

The beat period is

0.5\text{ s}

, so the correct option is A.

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