What is the frequency of `9^(th)` overtone on a stretched string of length l and linear density 'm', when the tension is "T"?

How is the frequency of a stretched string related to: Its tension?

How is the frequency of a stretched string related to: Its length?

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.

The frequency of the fourth harmonic in a stretched string of length 20 cm is 500 Hz. (i) Calculate the velocity of the wave in the string? (ii) For what value of tension, will the velocity in the string be 100 ms^(-1)?

The frequency v of the stretched string may depend on (i) the length of the vibrating segment 1 (ii) the tension in the string and (iii) the mass per unit length m. Show that v prop 1/l sqrt(F/m) .

If the speed of a transverse wave on a stretched string of length 1 m is 60 m s^-1 , what is the fundamental frequency of vibration ?

(a) Distinguish between transverse wave and longitudinal wave. Give one example of each type. (b) A stretched string of length I and under a tension T, emits a note of fundamental frequency n. The tension is now reduced to T/2 and the vibrating length changed so that the frequency of the second harmonic is equal to n. Find out the new length of the string in terms of its original length.

The frequency (f) of a stretched string depends upen the tension F (dimensions of form ) of the string and the mass per unit length mu of string .Derive the formula for frequency

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.

A string of length 50 cm and mass 12.5 g is fixed at both ends. A pipe closed at one end has a length 85 cm . When the string vibrates in its second overtone and the air column in the pipe in its first. Overtone, they produce a beats frquency of 6 Hz . It is also observed that decreasing teh tension in the string decreaes beats frequency. Neglect the end correction in the pipe and velocity of sound in air is 340 m//s . then the tension in the string is