Home
Class 11
PHYSICS
Three pieces of string, each of length L...

Three pieces of string, each of length L, are joined together end-to-end, to make a combined string of length 3L. The first piece of string has mass per unit length `mu_1`, the second piece has mass per unit length `mu_2 = 4mu_1` and the third piece has mass per unit length `mu_3 = mu_1//4` .
(a) If the combined string is under tension F, how much time does it take a transverse wave to travel the entire length 3L? Give your answer in terms of L,F and `mu_1` .
(b) Does your answer to part (a) depend on the order in which the three piece are joined together? Explain.

Promotional Banner

Similar Questions

Explore conceptually related problems

A string of length L consists of two distinct sections. The left half has linear mass density mu_1 = mu_0 // 2 while the right half has linear mass density mu_2 = 3mu_0 . Tension in the string is F_0 . The time required for a transverse wave pulse to travel from one end of the string to the other is

Calculate the time taken for a disturbance to pass through a string of length I and of mass per unit length m when the tension in the string is mI^2gN.

Four pieces of string of length L are joined end to end to make a long string of length 4L. The linear mass density of the strings are mu,4mu,9mu and 16mu , respectively. One end of the combined string is tied to a fixed support and a transverse wave has been generated at the other end having frequency f (ignore any reflection and absorption). string has been stretched under a tension F . Find the time taken by wave to reach from source end to fixed end.

Four pieces of string of length L are joined end to end to make a long string of length 4L. The linear mass density of the strings are mu,4mu,9mu and 16mu , respectively. One end of the combined string is tied to a fixed support and a transverse wave has been generated at the other end having frequency f (ignore any reflection and absorption). string has been stretched under a tension F . Find the time taken by wave to reach from source end to fixed end.

String-1 is connected with string-2. The mass per unit length in string-1 is mu_1 and the mass per unit length in string-2 is 4mu_1 . The tension in the strings is T. A travelling wave is coming from the left. What fraction of the energy in the incident wave goes into string-2 ?

The frequency of vibration of string depends on the length L between the nodes, the tension F in the string and its mass per unit length m. Guess the expression for its frequency from dimensional analysis.