Question 303: Waves

Question

If the two waves of same amplitude, having frequencies 340 Hz and 335 Hz , are moving in same direction, then the time interval between two successive maxima formed (in second) is

Accepted Answer

When two waves with close frequencies interfere, they produce a phenomenon called beats. The beat frequency, which determines how often the maxima (or beats) occur, is given by the difference between the two frequencies.
HereÃ¢ÂÂs the step-by-step reasoning:
The given frequencies are:
$$ f_1 = 340\ 	ext{Hz} $$
$$ f_2 = 335\ 	ext{Hz} $$
The beat frequency is calculated as:
$$ f_{	ext{beat}} = |f_1 - f_2| = |340 - 335| = 5\ 	ext{Hz} $$
The time between successive maxima (the beat period) is the reciprocal of the beat frequency:
$$ T_{	ext{beat}} = \frac{1}{f_{	ext{beat}}} = \frac{1}{5} = 0.2\ 	ext{seconds} $$
Thus, the time interval between two successive maxima is 0.2 seconds, which corresponds to Option B.

Answer

0.1

Answer

0.2

Answer

0.3

Answer

0.5

Waves

If the two waves of same amplitude, having frequencies 340 Hz and 335 Hz , are moving in same direction, then the time interval between two successive maxima formed (in second) is

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