Wave Mechanics Vibration Of String Question 29

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

[AIIMS 2002]

Options:

A) 62.5 cm

B) 50 cm

C) 40 cm

D) 37.5 cm

Show Answer

Answer:

Correct Answer: C

Solution:

$ n _{1}l _{1}=n _{2}l _{2}\Rightarrow 800\times 50=1000\times l _{2}\Rightarrow l _{2}=40 $

$ cm $