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A guitar string is 90 cm long and has a ...

A guitar string is 90 cm long and has a fundamental frequency of 124 Hz. Where should it be pressed to produce a fundamatal frequecy of 186 Hz?

A

60 cm

B

30 cm

C

20 cm

D

10 cm

Text Solution

Verified by Experts

The correct Answer is:
A
Here,`L_(1)=90 cm,upsilon_(1)=124Hz,upsilon_(2)=186Hz,`
`L_(2)=?`
According to the law of length, `upsilon_(2)L_(2)=upsilon_(1)upsilon_(1)`
`thereforeL_(2)=(upsilon_(1)L_(1))/(upsilon_(2))=(124xx90)/186=60 cm`
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