First slide

Stationary waves

Question

A string in musical instrument is 50 cm long and its fundamental frequency is 800 Hz. If a frequency of 1000 Hz is to be produced, then required length of string is

Moderate

A

62.5 cm
B

50 cm
C

40 cm
D

37.5 cm

Solution

$n_{1} l_{1} = n_{2} l_{2} \Rightarrow 800 \times 50 = 1000 \times l_{2} \Rightarrow l_{2} = 40 cm$

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