A transverse wave travels along the x-axis. The particles of medium move:

The phenomenon of sound propagation in the air is:

If at STP, the velocity of sound in a gas $(\gamma =1.5)$ is 600 m/s, the RMS velocity of the gas molecules at STP will be:

In a stretched string:

Two strings of the same material are stretched to the same tension. If their radii are in the ratio of 1: 2, then respective wave velocities in them will be in the ratio of:

The sound intensity level at a point 4 m from the point source is 10 dB. Then the sound level at a distance of 2 m from the same source will be:

The tones that are separated by three octaves have a frequency ratio of:

Which of the following equations represents a transverse wave travelling along the -y-axis?

A wave is represented by $x=4\cos \left(8t-\frac{y}{2}\right)$, where x and y are in metres and t in seconds. The frequency of the wave (in sec^-1) is:

A wave is represented by the equation

$\mathrm{y}=\mathrm{Asin}\left(10\mathrm{\pi x}+15\mathrm{\pi t}+\frac{\mathrm{\pi }}{6}\right)$

where x is in metres and t in seconds. The expression represents:

A travelling wave in a string is represented by $y=3\sin \left(\frac{\pi }{2}t-\frac{\pi }{4}x\right)$. The phase difference between two particles separated by a distance of 4 cm is:

(Take x and y in cm and t in seconds)

A transverse wave is described by the equation $\mathrm{y}=\mathrm{Asin}2\mathrm{\pi }\left(\mathrm{nt}-\mathrm{x}/{\mathrm{\lambda }}_0\right)$. The maximum particle velocity is equal to 3 times the wave velocity if:

If $\stackrel{\rightharpoonup }{u}$ is the instantaneous velocity of the particle and $\overrightarrow{v}$ is the velocity of the wave, then:

In a simple harmonic wave, the minimum distance between the particles in the same phase always having the same velocity is:

The tension in a wire is decreased by 19%. The percentage decrease in frequency will be:

On the superposition of the two waves given as:

${\mathrm{y}}_1={\mathrm{A}}_0\sin (\mathrm{\omega t}-\mathrm{kx})$
and ${\mathrm{y}}_2={\mathrm{A}}_0 \cos \left(\mathrm{\omega t}-\mathrm{kx}+\frac{\mathrm{\pi }}{6}\right)$,

the resultant amplitude of oscillations will be:

The equation of a standing wave in a stretched string is given by $\mathrm{y}=5 \sin \left(\frac{\mathrm{\pi x}}{3}\right) \cos \left(40\mathrm{\pi t}\right)$ where x and y are in cm and t is in seconds. The separation (in cm) between two consecutive nodes is:

In a stationary wave:

In the standing wave shown, the particles at positions A and B have a phase difference of:

A 12 m long vibrating string has the speed of wave 48 m/s. To what frequency it will resonate?

A certain string will resonate to several frequencies, the lowest of which is 200 cps. What are the next three higher frequencies to which it resonates?

The length of a sonometer wire is 0.75 m and density 9 x 10³ Kg/m³. It can bear the stress of 8.1 x 10⁸ N/m² without exceeding the elastic limit. The fundamental frequency that can be produced in the wire is:

The string of a violin has a frequency of 440 cps. If the violin string is shortened by one fifth, its frequency will be changed to:

A wire of length one metre under a certain initial tension emits a sound of fundamental frequency 256 Hz. When the tension is increased by 1 kg-wt, the frequency of the fundamental node increases to 320 Hz. The initial tension is:

In the case of a closed pipe which harmonic the p^th overtone will be:

The pitch of an organ pipe is highest when the pipe is filled with:

A cylindrical tube, open at both ends, has a fundamental frequency f in the air. The tube is dipped vertically in water so that half of it is in the water. The fundamental frequency of the air column is now:

For a certain organ pipe, three successive resonance frequencies are observed at 425, 595, and 765 Hz respectively. Taking the speed of sound in air to be 340 m/s, the fundamental frequency of the pipe (in Hz) is:

A closed pipe of length 10 cm has its fundamental frequency equal to half of that of the second overtone of an open pipe. The length of the open pipe:

The vibrations of four air columns under identical conditions are represented in the figure below. The ratio of frequencies $n_p : n_q : n_r : n_s$ will be: