First slide

Beats

Question

16 tuning forks are arranged in the order of increasing frequencies. Any two successive forks give 8 beats per sec when sounded together. If the frequency of the last fork is twice the first, then the frequency of the first fork is (in Hz)

Moderate

A

120
B

160
C

180
D

220

Solution

Using n_Last = n_First + (N – 1)x
$\Rightarrow$ 2n = n + (16 – 1) $\times$ 8 $\Rightarrow$ n = 120 Hz

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