First slide

Beats

Question

A tuning fork arrangement (pair) produces 4 beats/sec with one fork of frequency 288 cps. A little wax is placed on the unknown fork and it then produces 2 beats/sec. The frequency of the unknown fork is

Moderate

A

286 cps
B

292 cps
C

294 cps
D

288 cps

Solution

n_A = Known frequency = 288 cps, n_B = ?
x = 4 bps, which is decreasing (from 4 to 2) after loading i.e. x $↓$
Unknown fork is loaded so n_B $↓$
Hence n_A – n_B $↓$ = x $↓$ $\to$ Wrong
n_B $↓$ – n_A $↓$ = x $↓$ $\to$ Correct
$\Rightarrow$ n_B = n_A + x = 288 + 4 = 292 Hz.

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