Two tuning forks are each struck and emit sound waves...

Two tuning forks are each struck and emit sound waves simultaneously. The frequencies of the sound waves are $f_1$ and $f_2$. Rank the following according to the resulting beat period, with the largest beat period at the top and the smallest at the bottom. Rank the options below. $f_1$= 530 Hz, $f_2$= 528 Hz $f_1$= 530 Hz, $f_2$= 535 Hz $f_1$= 400 Hz, $f_2$= 401 Hz $f_1$= 400 Hz, $f_2$= 396 Hz

Transcript

00:01 Good day, the topic is about beats.

00:03 Beets is defined as the difference in the frequency, or that is delta f, which can be also written as the frequency of one object minus frequency of another object, or it could be that frequency of one wave minus the frequency of another wave.

00:18 So we are given the two tuning forks that are sounded simultaneously and produce one beat in every point three seconds.

00:27 And if this tuning forks is at one of the tuning force is attached with chewing gum it has been found out that the beat becomes evident in every point four seconds so we wish to find in both cases the frequency difference and in the second case where there's chewing gum attached we wish to particularly know on which of the lower or higher frequency tuning fork is the chewing gum attached to all right so let us solve this using the formula for beats so bits again is equal to the difference in the frequency so for the first one it said that one bit in every there's one beat in every 30 seconds so that's one over 30 as the difference in frequency or that's equal to 3 .3 hertz so the difference of the in the frequency of the higher tuning higher frequency tuning fork and the lower frequency tuning fork is 3 .3 hertz.

01:36 So next for the second one where the beat where there is one beat observed in 40 seconds in or in 0 .4 seconds then the difference in frequency becomes 2 .5 hertz.

01:54 So as we can see here there's a decrease in the frequency.

01:59 Attaching chewing gum makes it harder for the fork to vibrate because chewing gum will attach itself and add to the mass makes it making the tuning fork harder to move...

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