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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

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प्रश्न

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?

योग
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उत्तर

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.

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अध्याय 16: Sound Waves - Exercise [पृष्ठ ३५६]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 16 Sound Waves
Exercise | Q 57 | पृष्ठ ३५६

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