A spring is extended by a length l, the according to Hooke’s law
F = kl
According to Hookes’ law
Where is a constant of the wire.
The potential energy of a particle executing simple harmonic motion at a distance x from the equilibrium position is proportional to
Two travelling waves
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?