A source of sound gives five beats per second when sounded with a… - Vidyadip

MCQ

A source of sound gives five beats per second when sounded with another source of frequency $100\,{s^{ - 1}}$. The second harmonic of the source together with a source of frequency $205\,{s^{ - 1}}$ gives five beats per second. What is the frequency of the source .... ${s^{ - 1}}$

✓
$105$
B
$205$
C
$95$
D
$100$

✓

Answer

Correct option: A.

$105$

a
(a) Frequency of the source $ = 100 \pm 5 = 105 Hz\,$ or $ \,95 Hz.$

Second harmonic of the source $= 210 Hz$ or $190 Hz.$

As the second harmonic gives $5$ beats/sec with sound of frequency $205 Hz,$

the second harmonic should be $210 Hz.$

==> Frequency of the source $= 105 Hz.$

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