What is the nature of water waves produced by a motorboat sailing in water ?

In a hot summer day, pitch of an organ pipe will be higher or lower?

Show that when a string fixed at its two ends vibrates in 1 loop, 2 loops, 3loops and 4loops, the frequencies are in the ratio 1:2:3:4.

When two waves of almost equal frequencies n₁ and n₂ reach at a point, simultaneously. What is the time interval between successive maxima?

Third overtone of a closed organ pipe is in unison with fourth harmonic of an open organ pipe. Find the ration of lengths of the pipes.

A narrow sound pulse (e.g. a short pip by a whistle) is sent across a medium.
(i) Does the pulse have a definite (a) frequency, (b) wavelength, (c) speed of propagation?
(ii) If the pulse rate is 1 after every 20 s, (that is the whistle is blown for a split of second after every 20 s), is the frequency of the note produced by the whistle equal to 1/20 or 0.05 Hz?

At what temperature (in ⁰C) Will be speed of sound air be 3 times its value at 0⁰ C?

A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45 Hz. The mass of the wire is 3.5 x 10^-2 kg and its linear mass density is 4.0 x 10^-2kgm^-1. What is the tension in the string?

You have learnt, that a travelling wave in one dimension is represented by a function y = f(x, t), where x and t must appear in the combination x - v t or x + vt i.e., y = f (x ± vt). Is the converse true? That is, does every function of (x - vt) or (x + vt) represent a travelling wave? Examine, if the following functions for y can possibly represent a travelling wave?
(a) (x-vt)² (b) \(log[\frac{(x+vt)}{x_{0}}]\) (c) \(\frac{1}{x+vt}\)

A stone dropped from the top of a tower of height 300 m splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is 340 m s^–1 ? (g = 9.8 m s^–2)

If C is rms speed of molecules in a gas and V is the speed of sound waves in the gas, show that c/v is constant and independent of temperature for all diatomic gases.

One end of a long string of linear mass density 8.0 x 10^-3 kg m^-1 is connected to an electrically driven tuning fork of frequency 256 Hz. The other end passes over a pulley and is tied to a pan containing a mass of 90kg. The pulley end absorbs all the incoming energy so that reflected waves at the end have negligible amplitude. At t=0, the left and (fork end) of the string  x = 0 has zero transverse displacement (y=0) and is moving along positive y-direction. The amplitude of the wave is 5.0 cm. Write down the transverse displacement y as function of x and t that describes the wave on the string.

A transverse harmonic wave on a string is described by y(x, t) = 3.0sin (36t + 0.018x + \(\pi /4\)) Where x and y are in cm and t in seconds. The positive direction of x is from left to right|
What are its amplitude and frequency?

A transverse harmonic wave on a string is described by y(x, t) =3.0sin (36t + 0.018x + \(\pi /4\)) Where, x and y are in cm and t in seconds. The positive direction of x is from left to right
What is the least distance between two successive crests in the wave?

One morning, Sameer went to the washroom for taking bath. He noticed that the pitch o the sound produced went on increasing as he noticed that the pitch of the sound produced went on increasing as he opened the tap to fill an empty bucket with water. He was surprised to observe that as the bucket started filling with water, the pitch of sound become higher. He shared this with his Physics teacher in the physics period. On getting a solution of the problem from the teacher, Sameer felt satisfied and expressed gratitude to the teacher.
(i) What are the values being displayed by Sameer in his actions?
(ii) When we start filling an empty bucket with water, the pitch of sound goes on increasing why?
(iii) Write any 2 factors that affecting velocity of sound

Estimate the speed of sound in air at STP. The mass of 1 mole of air is 29.0\(\times \)10^-3 kg.

A whistle of frequency 540 Hz rotates in a circle of radius 2 m at a linear speed of 30 m/s. What is the lowest and highest frequency heard by an observer along distance away at rest with respect to the centre of circle. Take speed of sound in air as 330 m/s. Can the appartment frequency be ever equal to actual?

A travelling harmonic wave on a string is described by
y ( x , t ) = 7.5 sin (0.0050 x + 12 t + \(\frac{\pi}{4}\) ). 
(i)  What are the displacement and velocity of oscillation of a point at x = 1 cm, and t = 1s? Is this velocity equal to the velocity of wave propagation?
(ii) Locate the points of the string which have the same transverse displacements and velocity as the x = 1 cm point at t = 2s, 5s and 11s.