Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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A Tuning Fork Produces 4 Beats per Second with Another Tuning Fork of Frequency 256 Hz. the First One is Now Loaded with a Little Wax and the Beat Frequency - Physics

Sum

A tuning fork produces 4 beats per second with another tuning fork of frequency 256 Hz. The first one is now loaded with a little wax and the beat frequency is found to increase to 6 per second. What was the original frequency of the tuning fork?

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Solution

Frequency of tuning fork A : \[n_1\] = 256 Hz

No. of beats/second m = 4

Frequency of second fork B : \[n_2\] =?

\[n_2  =  n_1  \pm m\]

\[\Rightarrow\] \[n_2  = 256 \pm 4\]

\[\Rightarrow\] \[n_2\] = 260 Hz or 252 Hz
Now, as it is loaded with wax, its frequency will decrease.
As it produces 6 beats per second, the original frequency must be 252 Hz.
260 Hz is not possible because on decreasing the frequency, the beats per second should decrease, which is not possible.

Concept: Wave Motion
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APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 16 Sound Waves
Q 57 | Page 356
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