A string of length L is stretched by L/20 and speed of transverse wave along it is v. The speed of wave when it is stretched by L/10 will be: (assume that Hooke's law is applicable) -
A heavy rope is suspended from a rigid support. A wave pulse is set up at the lower end, then -
A vibrating string fixed at both ends has consecutive harmonics at wavelengths of 4.0 m and 2.0 m. Then length of the string is
A wave is represented by the equation
y = 7 sin (7πt-0.04xπ+π/3)x is in metres and t is in seconds. The speed of the wave is -
A tuning fork and a sonometer wire were sounded togeter and produce 4 beats per second. When the length of sonometer wire is 95 cm or 100 cm, the frequency of the tuning fork is-
Four wires of identical lengths, diameters and material are stretched on a sonometer box. The ratio of their tensions is 1 : 4 : 9 : 16. The ratio of their fundamental frequencies is -
Two wires are kept tight between the same pair of supports. The tensions in the wires are in the ratio 2 : 1. The radii are in the ratio 3 : 1 and the densities are in the ratio 1 : 2. The ratio of their fundamental frequencies are -
Three waves of equal frequencies having amplitudes 10 μm, 4μm and 7μm arrive at a given point with successive phase difference of π/2. The amplitude of the resulting wave in μm is given by -
The linear density of a vibrating string is 1.3 × 10–4 kg/m. A transverse wave is propagating on the string and its described by the equation y = 0.021 sin (x + 30t), where x and y are measured in metre and t in sec. The tension in the string is -
In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is 0.170 second. The frequency of the wave is -
Two periodic waves of amplitudes a and b pass through a region at the same time in the same direction. If a > b, the difference in the maximum and minimum possible amplitudes is-
A wave along a string has the following equation (y, x in metre and t in sec) y = 0.02 sin (30 t – 4.0 x)
The amplitude of the wave is -
Fundamental frequency of a sonometer wire is n. If its length, diameter and tension all are doubled, the new fundamental frequency will be-
A sonometer wire 100 cm long has fundamental frequency of 330 Hz. The velocity of propagation of transverse waves on the wire is -
Transverse waves are generated in two uniform steel wires A and B by attaching their free end to vibrating source of frequency 500 Hz. The diameter of wire A is half that of wire B and the tension in wire A is half that in wire B. What is ratio of the velocity of waves in wires A and B?
The path difference between two waves
y1 = a1 sin(ωt-2πx/λ)
and y2 = a2cos(ωt-2πx/λ+Φ) is -
What will be the wave velocity, if the radar gives 54 waves per min and wavelength of the given wave is 10 m ?
If the amplitude of waves at a distance r from a point source is A, the amplitude at a distance 2r will be -
A progressive wave of frequency 500 Hz is travelling with a velocity of 360 m/s. How far apart are two points 600 out of phase ?
An observer standing at the seacoast observes 54 waves reaching the coast per minute. If the wavelength of the waves is 10 m, its velocity is-
