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qUESTIONS

The velocity of a transverse wave on a string of length 0.5 m 1s 225 m/s.(a) What 1s the fundamental frequency of a standing wave on this string if both ends are kept fixed? (b) While this string 1s vibrating in the fundamental harmonic, what i1s the wave length of sound produced 1n air if the velocity of sound 1n air 1s 330 m/s?

A string is fixed at both ends. What is the ratio of the frequency of the first harmonic to that of the second harmonic?

A closed pipe and an open pipe have the same length. Show that no mode of the closed pipe has the same wave length as any mode of the open pipe.

An air column 1s of length17 cm long. Calculate the frequency of 5% overtone if the air column is (a) closed atone end and (b) open at both ends. (Velocity of sound 1n air = 340 ms⁻¹)

Find the distance betweentwo successive nodes in a stationary waveon a string vibrating with frequency 64Hz. The velocity of progressive wave that resulted 1n the stationary wave 1s 48 ms⁻¹

A progressive wave travel son a stretched string. A particle on this string takes 4.0 ms to move from its mean position to one of its extreme positions. The distance between two consecutive points on the string which are at their mean positions(at a certain time instant) is 2.0 cm. Find the frequency. wavelength and speed of the wave.

The displacements of two sinusoidal waves propagating through a string arc given by the following equations y1 =4sin(20x – 30t) y2 =4sin(25x – 40t)where x and y are in centimeter and t is in second. a) Calculate the phase difference between these two waves at the points x = 5 cm and t = 2s. b) When these two waves interfere, what are the maximum and minimum values of the intensity?

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