A Spring Is Extended By A Length l, The According To Hooke’s Law

The potential energy of a particle executing simple harmonic motion at a distance x from the equilibrium position is proportional to

Two travelling waves

and                

are superposed on a string. The distance between adjacent nodes is

If the amplitude of a sound wave is doubled and its frequency reduced to one-fourth, the intensity of sound at the same point will

At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of the string at that instant is a

The displacement y of a particle executing simple harmonic motion is given by 

The expression may be considered to be a result of the superposition of how many simple harmonic motions?

A wave of frequency 100 Hz is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of 10 cm from the fixed end of the string. The speed of the incident (or reflected) wave is

A particle starts simple harmonic motion from the mean position O as shown in the figure. Its amplitude is A and its time period is T. At a certain instant, its speed is half its maximum speed. At this instant, the displacement x is

The wave equation is 

Where t, x and y are in second, metre and centimeter respectively. The speed of the wave is

An observer is standing between two vehicles, each moving with a speed 4 ms^–1. One vehicle is approaching him and the other going away from him. If each vehicle is blowing a horn of frequency 240 Hz and the speed of sound is 320 ms^–1, the number of beats per second will be

A transverse wave is represented by 

For what value of λ is the maximum particle velocity equal to twice the wave velocity?