Wave motion Questions

Which of the following figures represent the variation of particle momentum and the associated de-Broglie wavelength ?

A uniform rope of length L and mass m1, hangs vertically from a rigid support. A block of mass m2 isattached to the free end of the rope. A transverse pulse of wavelength λ1 is produced at the lo...

If n1, n2 and n3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by...

One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 ms-1. The other end of the string is vibrating in the y-direction so that station...

A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation, y(x, t) = (0.01m) sin [(62.8 m-1)x]cos [(628 s-1)t]. Assuming π = 3.14, the correct...

A wave represent by the equation y = a cos (kx - ωt) is superimposed with another wave to from a staionary wave such that point x = 0 is a node. The equation for the other wave is...

An object of spcific gravity ρ is hung from a thin steel wire. he findamental frequency for transervse standing waves in the wire is 300 Hz. The object is immersed in water, so that one half of i...

The extension in a string, obeying Hook′s law, is x. The speed of transverse wave in the stretched string is v. If the extension in the string increased to 1.5 x, the speed of transerse wave wil...

A travelling wave in a stretched string is described by the equation ; y = A sin(kx - ωt). The maximum particle velocity is

A string of length 0.4 m and mass 10-2 is tightly clamped at its ends. The tension in the string is 1.6 N. Identical wave pulse are produced at one end at equal intervals of time ᐃt The minimum ...

Two vibrating string of the same material but of lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the string vibrate in their fundamental modes. The o...

The ends of a stretched wire of length L are fixed at x = 0 and x = L. In one experiment, the displacement of the wire is y1 = A sin(πx/L) sin ωt and energy is E1 and in another experiment its displac...

A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridge when a mass 9 kg is suspended from the wire. When this mass is replaced by mass M....

The displacement y of a particle in a medium can be expressed as y = 10-6 sin(100t + 20x + π/4)m, where t is in seconds and x in meter. The speed of the wave is...

The displacement y of wave travelling in the x-direction is given by y = 10-4 sin metres, where x is expressed in metres and t in seconds. The speed of the wave-motion, in ms-1 is...

Length of a string tied to two rigid supports is 40 cm. Maximum length (wave length in cm) of a stationary wave produced on it is

A wave y = asin(ω - kx)on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is

Length of a sonometer wire is 1.21 m. The three segments for fundamental frequency in the ratio 1 : 2 : 3.

For the wave shown in the fig, the equation for the wave, travelling along +x axis with velocity 350 ms-1. When its position at t = 0 is as shown-...

The amplitude of a wave disturbance propagating in the positive x-direction is given by :y = at time t = 0 and y = at t = 2 seconds where x and y are in metres. The shape of wave disturbance does not ...