Waves and Sound

When a wave travels from a denser to a rarer medium, what happens to the phase of the reflected wave?

The phase of the reflected wave changes by π/2
The phase of the reflected wave does not change
The phase of the reflected wave changes by 2π
The phase of the reflected wave changes by π (correct)

What is the condition for constructive interference of sound waves?

Waves must have different frequencies
Waves must have the same frequency and wavelength (correct)
Waves must have different velocities
Waves must have different amplitudes

What is the ratio of the amplitudes of the reflected and incident waves at a free boundary?

k1 - k2 / k1 + k2 (correct)
v1 - v2 / v1 + v2
v1 + v2 / v1 - v2
k1 + k2 / k1 - k2

What is the result of the superposition of two waves that differ in direction?

Formation of stationary waves (A) Signup and view all the answers

What is the name of the figure formed by the superposition of two perpendicular simple harmonic motions?

Lissajous figure (C) Signup and view all the answers

What is the minimum distance required for an echo to be heard for a short sound, given that the speed of sound is 340 m/s?

17 m (C) Signup and view all the answers

What happens to a longitudinal pressure wave when it reflects from a rigid end?

It suffers no change in phase (D) Signup and view all the answers

What is the principle of superposition of waves?

The displacement at any time is the vector sum of the individual displacements (A) Signup and view all the answers

What happens to a longitudinal pressure wave when it reflects from a free end?

It suffers a phase change of π (D) Signup and view all the answers

What is an echo?

A repetition of the speaker's own voice caused by reflection at a nearby surface (A) Signup and view all the answers

What is the form of the equation of a stationary wave when reflection takes place from a rigid end?

y = 2a sin ωt cos kx (C) Signup and view all the answers

What is the condition for the amplitude of a stationary wave to be maximum?

cos kx = ±1 (C) Signup and view all the answers

What is the characteristic of a wave that satisfies the wave equation but is not progressive?

It has a constant phase at all points (B) Signup and view all the answers

What is the result of the superposition of two waves y1 = a sin(ωt - kx) and y2 = a sin(ωt + kx)?

y = 2a cos kx sin ωt (D) Signup and view all the answers

What is the characteristic of the amplitude of vibration of particles in a stationary wave?

It varies from zero at nodes to maximum at antinodes (A) Signup and view all the answers

What is the physical quantity that the wave velocity depends on?

Properties of the medium (B) Signup and view all the answers

What is the phase of a particle in a wave motion?

The quantity that expresses the displacement of the particle and its direction of motion (D) Signup and view all the answers

What is the relationship between the wave function y and the distance travelled by the wave pulse vt?

y = f(x - vt) (D) Signup and view all the answers

What is the group velocity of a wave?

The velocity with which the group of waves travels (A) Signup and view all the answers

What is the condition for two particles to be in the same phase?

They must be at the same distance in the same direction from their equilibrium positions (B) Signup and view all the answers

What is the physical significance of the slope of the wave at a given point?

It represents the maximum particle velocity at that point. (A) Signup and view all the answers

What is the relationship between the angular frequency ω and the time period T of a wave?

ω = 2π/T (C) Signup and view all the answers

What is the direction of propagation of a wave if the sign between the t and x terms is negative?

Positive X-axis direction (C) Signup and view all the answers

What is the relationship between the maximum particle velocity (vp)max and the angular frequency ω of a wave?

(vp)max = aω (C) Signup and view all the answers

What is the characteristic of a medium in which the speed of wave is less than the speed of wave in another medium?

It is a denser medium. (A) Signup and view all the answers

What is the apparent frequency when the source and observer are moving towards each other?

n(v - vS)/v (B) Signup and view all the answers

What is the velocity of the wave with respect to the observer when the source and observer are moving towards each other?

v + vO - vS (A) Signup and view all the answers