First slide

Beats

Question

Tuning fork F₁ has a frequency of 256 Hz and it is observed to produce 6 beats/second with another tuning fork F₂. When F₂ is loaded with wax, it still produces 6 beats/second with F₁. The frequency of F₂ before loading was

Easy

A

253 Hz
B

262 Hz
C

250 Hz
D

259 Hz

Solution

n_A = Known frequency = 256 Hz, n_B = ?
x = 6 bps, which remains the same after loading.
Unknown tuning fork F₂ 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 + 6 = 262 Hz.

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