Home
Class 11
PHYSICS
The speed of a wave on a string is 150 "...

The speed of a wave on a string is 150 `"ms"^(-1)` when the
tension is 120 N. The percentage increase in the
tension in orderr to raise the wave speed by `20%` is

A

0.44

B

0.4

C

0.2

D

0.1

Text Solution

Verified by Experts

The correct Answer is:
A
Wave speed
`v=sqrt((T)/(mu))`
`impliesvpropsqrt(T)implies(v_(1))/(v_(2))=sqrt((T_(1))/(T_(2)))implies(T_(1))/(T_(2))=((v_(1))/(v_(2)))^(2)`
`[v_(1)=150m//s,v_(2)=v_(1)+20%,"of "v_(1)=150+30=180m//s]`
`implies (T_(2)-T_(1))/(T_(1))=(v_(2)^(2)-v_(1)^(2))/(v_(1)^(2))`
`implies((T_(2)-T_(1))/(T_(1)))%=((180)^(2)-(150)^(2))/((150)^(2))=0.44=44%`
Promotional Banner

Similar Questions

Explore conceptually related problems

The speed of a transverse wave on a string is 115 m/s when the string tension is 200 N. To what value must the tension be changed to raise the wave speed to 223 m/s?

Speed Of Waves On Strings

The speed of transverse wave on a stretched string is

The length of an elastic string is Xm when the tension is 8 N, and Y m when the tension is 10 N. The length in metres when the tension is 18 N is

The speed of a transverse wave on stretched sting is 500 m/s when the tension is 2 kg wt, then the velocity of transverse waves in the same string when the tension is changed to 8 kg wt is

The speed of a transverse wave in a stretched string is 348 ms^(-1) , when the tension of the string is 3.6 kg wt. Calculate the speed of the transverse wave in the same string . If the tension in the string is changed to 4.9 kg wt ?

A wave moves with a certain speed in a stretched string. The percentage change in tension required to increase the velocity by 1 %, is approximately

If P is the atmospheric pressure in the last problems find the percentage increase in tension of the string after heating

Speed of transverse wave on string is v . If tension is increased by factor of 4 and radius of the string is increased by factor of 2, then the new wave speed will be :