First slide

Beats

Question

A tuning fork sounded together with a tuning fork of frequency 256 emits two beats. On loading the tuning fork of frequency 256, the number of beats heard are 1 per second. The frequency of tuning fork is

Moderate

A

257
B

258
C

256
D

254

Solution

n_A = Known frequency = 256, n_B = ?
x = 2 bps, which is decreasing after loading (i.e. x $↓$ ) known tuning fork is loaded so n_A $↓$
Hence n_A $↓$ – n_B = x $↓$ ... (i) $\to$ Correct
n_B – n_A $↓$ = x $↓$ ... (ii) $\to$ Wrong
$\Rightarrow$ n_B = n_A – x = 256 – 2 = 254 Hz.

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