First slide

Standing waves

Question

A tuning fork of known frequency 256 Hz makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to z beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

Moderate

A

256+5Hz
B

256+2Hz
C

256-2Hz
D

256-5Hz

Solution

We know that the frequency of a vibration strin8
$n = \frac{1}{2 l} \sqrt{(\frac{T}{m})} or n â \sqrt{T} Frequency of piano string may be 256 + 5 or 256 - 5 Before increasing the tension, the frequency of piano was 256 - 5 = 251 Hz$

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