Question

The frequencies of two sources producing sounds are 512Hz and 516Hz when sounded together,find the time interval between two consecutive beats?

Answer 1

a frequency of 512Hz means one peak of sound is seperated by a time period of 1/512 sec

similarly for other frequency it is 1/516 sec

so the time interval between two consecutive beat is the difference between timeperiod of both frequencies.

that is 1/512-1/516

Answer 2

Given that,

Frequencies produced by sources of sound are 512 Hz and 516 Hz when sounded together.

To find,

The time interval between two consecutive beats.

Solution,

When f = 512 Hz, time period is :

$T_1=\dfrac{1}{512}=0.001953\ s$

When f = 516 Hz, time period is :

$T_2=\dfrac{1}{516}=0.001937\ s$

The time interval between two consecutive beats is :

$T_1-T_2=0.00195-0.001937=0.000013\\\\T_1-T_2=1.3\times 10^{-5}\ s$

So, the time interval between two consecutive beats is $1.3\times 10^{-5}\ s$.

Learn more,

Beats

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