First slide

Beats

Question

Two tuning forks A and B give 4 beats per second. The frequency of A is 256 Hz. On loading B slightly, we get 5 beats in 2seconds. The frequency of B after loading is

Moderate

A

253.5 Hz
B

258.5 Hz
C

260 Hz
D

252 Hz

Solution

n_A = Known frequency = 256 Hz, n_B = ?
x = 4 beats per sec which is decreasing (4 bps to $\frac{5}{2} bps$ ) after loading (i.e. x $↓$ )
Unknown tuning fork B, is loaded so n_B $↓$
Hence n_A – n_B $↓$ = x $↓$ ... (i) $\to$ Wrong
n_B $↓$ – n_A = x $↓$ ... (ii) $\to$ Correct
$\Rightarrow$ n_B = n_A + x = 256 + 4 = 260 Hz.

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