HARD
Earn 100

Describe the reflection of a wave from fixed end.

Important Questions on Waves

MEDIUM
Three sinusoidal waves with the same angular frequency but with different amplitudes A, A2, A3 and phase angles 0, π2 and π respectively move along the same direction and superpose with each other. The amplitude of the resultant wave is given by
HARD

Two identical coherent sound sources R and S with frequency f are 5 m apart. An observer standing equidistant from the source and at a perpendicular distance of 12 m from the line RS hears maximum sound intensity.

When he moves parallel to RS, the sound intensity varies and is a minimum when he comes directly in front of one of the two sources. Then, a possible value of f is close to (the speed of sound is 330 m/s)

EASY
The amplitude and frequency of two waves is same which are from two different sources, overlap at a point. The ratio of intensity when two waves arrive π2 out of phase to when they arrive in phase is
MEDIUM
Two waves are simultaneously passing through a string and their equations are : y1=A1sink(x-vt),y2=A2sinkx-vt+x0. Given amplitudes A1=12 mm and A2=5 mmx0=3.5 cm and wave number k=6.28 cm-1. The amplitude of resulting wave will be _____ mm.
MEDIUM
If two waves of the same frequency and amplitude respectively on superposition produce a resultant disturbance of the same amplitude, the waves differ in phase by
MEDIUM
Two simple harmonic motions are represented by the equations x1=5sin2πt+π4 and x2=52(sin2πt+cos2πt). The amplitude of the second motion is _____ times the amplitude in the first motion.
EASY
Sound waves from a loudspeaker reach a point P via two paths which differ in length by 1.8 m. When the frequency of sound is gradually increased, the resultant intensity at P is found to be maximum the frequency is 1000 Hz. At what next higher frequency will a maximum be detected?
(velocity of sound =360 m/s)
EASY
Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the 3 times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)
MEDIUM
Three harmonic waves having equal frequency v and same intensity I0 , have phase angles 0,π4 and -π4 respectively. When they are superimposed the intensity of the resultant wave is close to:
EASY
Two harmonic travelling waves are described by the equations y1=asinkx-ωt and y2=asin-kx+ωt+ϕ The amplitude of the superposed wave is
EASY
Two light beams of intensities in the ratio of 9:4 are allowed to interfere. The ratio of the intensity of maxima and minima will be :
EASY
A wave is reflected from a rigid support. The change in the phase of the reflected wave will be
HARD
The interference pattern is obtained with two coherent light sources of intensity ratio 4:1. And the ratio Imax+IminImax-Imin is 5x. Then, the value of x will be equal to :
EASY
Two waves of the same kind and of the same amplitude A superpose at a point with a phase difference of φ between them. Find the resultant amplitude (R).
EASY

The equations of two waves are given by :

y1=5sin2πx-vt cm

y2=3sin2πx-vt+1.5 cm

These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

EASY
Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelength of each progressive wave is λ. The wavelength of the stationary wave is
HARD
Two loudspeakers M and N are located 20 m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car is initially at a point P, 1800 m away from the midpoint Q of the line MN and moves towards Q constantly at 60 km h-1 along the perpendicular bisector of MN. It crosses Q and eventually reaches a point R, 1800 m away from Q. Let νt represent the beat frequency measured by a person sitting in the car at time t. Let νp, νQ and νR be the beat frequencies measured at locations P, Q and R, respectively. The speed of sound in air is 330 m s-1. Which of the following statement(s) is (are) true regarding the sound heard by the person?
MEDIUM
Explain the reflection of transverse and longitudinal waves from a denser medium and rarer medium.
MEDIUM
Equation of a plane progressive wave is given by y=0.6sin2πt+π2 . On reflection from a denser medium its amplitude becomes 2/3 of the amplitude of the incident wave. The equation of the reflected wave is
MEDIUM
Sound waves of v=600Hz fall normally on a perfectly reflecting wall. The shortest distance from the wall at which all particles will have maximum amplitude of vibration will be (speed of sound=300ms-1)