A string in a 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 :

Options

A. 62.5
B. 50 cm
C. 40 cm
D. 37.5 cm

Answer

C

Explanation

For stretched string v `prop (1)/(l)`
`therefore (v_(1))/(v_(2)) = (l_(2))/(l_(1)) rArr l_(2) = (800)/(1000) xx 50 ` = 40 cm
Correct choice is c.