HARD
Earn 100

Write the equation of reflected wave which is reflected from a fixed end if the equation of incident wave is y(x,t) = asin(kx-ωt)

Important Questions on Waves

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
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
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)
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.
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?
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).
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 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 :

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
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:
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.
EASY
A wave is reflected from a rigid support. The change in the phase of the reflected wave will be
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 :
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
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 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)
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
A steel wire with mass per unit length 7.0 × 103 kg m1 is under tension of 70 N. The speed of transverse waves in the wire will be:
MEDIUM
Explain the reflection of transverse and longitudinal waves from a denser medium and rarer medium.
HARD
A gun is fired on a sea shore in front of a line of cliffs. A man standing 90 m from the gun(line connecting man & the gun is parallel to the cliffs) notices that echo takes twice as long to reach him as does the direct report. Find the distance between gun and the cliff to the nearest integer(in meters).