Home
Class 12
PHYSICS
A string has a length of 0.4m and a mas...

A string has a length of 0.4m and a mass of0.16g.If the tension in the string is 70N,what are the three lowest frequencies it produces when plucked ?

Text Solution

Verified by Experts

`l =0.4m , M = 0.16 g= 0.16 xx 10^(-3) kg, `
`mu = ( M )/( l) = ( 0.16 xx10^(-3))/( 0.4) = 0.4 xx 10^(-3) kg //m,`
`T = 70 N , v_(n) = ( P)/( 2l) sqrt((T)/( mu ))`
`v_(1) = (1)/( 2l) sqrt((T)/( mu) ) =(1)/( 2 xx 0.4) sqrt((70)/( 0.4 xx 10^(-3))) = 523 Hz`
`v_(2) = 2v_(1) = 2xx523 =1046 Hz`
`v_(3)== 3v_(1) = 3 xx523 =1569 Hz`
Promotional Banner

Topper's Solved these Questions

  • WAVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise VERY SHORT ANSWER QUESTIONS|21 Videos

  • WAVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SHORT ANSWER QUESTIONS|11 Videos

  • WAVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise ADDITIONAL EXERCISES|6 Videos

  • WAVE OPTICS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Problems|6 Videos

Similar Questions

Explore conceptually related problems

A 5.5 m long string has a mass of 0.035 kg. If the tension in the string is 77 N, the speed of a wave on the string is

A stone tied to a string rotated with uniform speed in a vertical plane. If the mass of the stone is m, len"gt"h of string is r and the speed of the stone is v, the tension in the string when the stone is at its lowest point is (g = acceleration due to gravity

A 1 kg ball is rotated in a vertical circle by using a string of length 0.1 m. If the tension in the string at the lowest point is 29.4N, its angular velocity at that position is