First slide

Beats

Question

If two tuning forks A and B are sounded together, they produce 4 beats per second. A is then slightly loaded with wax, they produce 2 beats when sounded again. The frequency of A is 256. The frequency of B will be

Moderate

A

250
B

252
C

260
D

262

Solution

n_A = Known frequency = 256 Hz, n_B = ?
x = 4 bps, which is decreasing after loading (i.e. x $↓$ ) also 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 – 4 = 252 Hz.

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