JEE Questions for Physics Waves Quiz 10 - MCQExams.com

A wave equation which gives the displacement along y-direction is given by y = 0.001 sin (100t + x) where x and y are in meter and t is time in second. This represented a wave
  • Of frequency 100/π Hz
  • Of wavelength one metre
  • Travelling with a velocity of 50/π ms–1 in the positive X-direction
  • Travelling with a velocity of 100 ms–1 in the negative X-direction
The equation of a simple harmonic wave is given by
y = 5 sin π/2 (100t - x) where x and y are in metre and time is in second. The period of the wave in second will be
  • 0.04
  • 0.01
  • 1
  • 5
Two waves represented by the following equations are travelling in the same medium
y1 = 5 sin 2π (75t – 0.25x),
y2 = 10 sin 2 π (150t – 0.50x)
The intensity ratio I1 / I2 of the two waves is
  • 1 : 2
  • 1 : 4
  • 1 : 8
  • 1 : 16

Physics-Waves-96520.png
  • 8 m
  • 4 m
  • 2 m
  • 10 m
The equation of a wave is given as y = 0.07 sin (12 πx – 3000 πt). Where x is in metre and t in sec, then the correct statement is
  • λ = 1/6 m, v = 250 m/s
  • a = 0.07 m, v = 300 m/s
  • n =1500, v = 200 m/s
  • None of the above
The equation of the propagating wave is y = 25 sin (20 t + 5x), where y is displacement. Which of the following statements is not true?
  • The amplitude of the wave is 25 units
  • The wave is propagating in positive x-direction
  • The velocity of the wave is 4 units
  • The maximum velocity of the particles is 500 units
In a plane progressive wave given by y = 25 cos (2 πt – πx), the amplitude and frequency are respectively
  • 25,100
  • 25,1
  • 25,2
  • 507c, 2

Physics-Waves-96524.png
  • 400√2
  • 200√2
  • 400
  • 200
Three sound waves of equal amplitudes have frequencies (v - 1), v (v + 1). They superpose to give beats. The number of beats produced per second will be
  • 4
  • 3
  • 2
  • 1
When two sound waves with a phase difference of π/2, and each having amplitude A and frequency ω, are superimposed on each other, then the maximum amplitude and frequency of resultant wave is

  • Physics-Waves-96527.png
  • 2)
    Physics-Waves-96528.png

  • Physics-Waves-96529.png

  • Physics-Waves-96530.png
Two waves are represented by y1 = 4 sin 404 πt and y2 = 3 sin 400 πt. Then
  • Beat frequency is 4 Hz and the ratio of maximum to minimum intensity is 49 : 1
  • Beat frequency is 2 Hz and the ratio of maximum to minimum intensity is 49 : 1
  • Beat frequency is 2 Hz and the ratio of maximum to minimum intensity is 1 : 49
  • Beat frequency is 4 Hz and the ratio of maximum to minimum intensity is 1 : 49
If two waves of same frequency and same amplitude respectively, on superimposition produced a resultant disturbance of the same amplitude, the waves differ in phase by
  • π
  • 2π/3
  • π/2
  • Zero
A stationary point source of sound emits sound uniformly in all directions in a non-absorbing medium. Two points P and Q are at a distance of 4 m and 9 m respectively from the source. The ratio of amplitudes of the waves at P and Q is
  • 3/2
  • 4/9
  • 2/3
  • 9/4
Two waves are propagating to the point P along a straight line produced by two sources A and B of simple harmonic and of equal frequency. The amplitude of every wave at P is \'a\' and the phase of A is ahead by π/3 than that of B and the distance AP is greater than BP by 50 cm. Then the resultant amplitude at the point P will be, if the wavelength is 1 meter
  • 2a
  • 2)
    Physics-Waves-96535.png

  • Physics-Waves-96536.png
  • a
Coherent sources are characterized by the same
  • Phase and phase velocity
  • Wavelength, amplitude and phase velocity
  • Wavelength, amplitude and frequency
  • Wavelength and phase
The minimum intensity of sound is zero at a point due to two sources of nearly equal frequencies, when
  • Two sources are vibrating in opposite phase
  • The amplitude of two sources are equal
  • At the point of observation, the amplitudes of two S.H.M. produced by two sources are equal and both the S.H.M. are along the same straight line
  • Both the sources are in the same phase

Physics-Waves-96540.png
  • 0.7 cm
  • 0.1 cm
  • 0.5 cm

  • Physics-Waves-96541.png
If two waves having amplitudes 2A and A and same frequency and velocity, propagate in the same direction in the same phase, the resulting amplitude will be
  • 3A
  • 2)
    Physics-Waves-96543.png

  • Physics-Waves-96544.png
  • A
Out of the given four waves (1), (2), (and (4)
y = a sin (kx + ωt) ... (1)
y = a sin (ωt – kx) ... (2)
y = a cos (kx + ωt) ... (3)
y = a cos (ωt – kx) ... (4)
emitted by four different sources S1, S2, S3, and S4 respectively, interference phenomena would be observed in space under appropriate conditions when
  • Source S1 emits wave (and S2 emits wave (2)
  • Source S3 emits wave (and S4 emits wave (4)
  • Source S2 emits wave (and S4 emits wave (4)
  • Source S4 emits wave (and S3 emits wave (3)
Two waves of same frequency and intensity superimpose with each other in opposite phases, then after superposition the
  • Intensity increases by 4 times
  • Intensity increases by two times
  • Frequency increases by 4 times
  • None of the above
The superposing waves are represented by the following equations :
y1 = 5 sin 2π(10t – 0.1x), y2 = 10 sin 2π(20t – 0.2x)
Ratio of intensities Imax / Imin will be
  • 1
  • 9
  • 4
  • 16
The displacement of a particle is given by
x = 3 sin (5πt) + 4 cos (5πt)
The amplitude of the particle is
  • 3
  • 4
  • 5
  • 7
Two waves y1 = A1 sin (ωt – β1), y2 = A2 sin (ωt – β2)
Superimpose to form a resultant wave whose amplitude is

  • Physics-Waves-96549.png
  • 2)
    Physics-Waves-96550.png

  • Physics-Waves-96551.png

  • Physics-Waves-96552.png
Beats are produced with the help of two sound waves of amplitudes 3 and 5 units. The ratio of maximum to minimum intensity in the beats is
  • 2 : 1
  • 5 : 3
  • 4 : 1
  • 16 : 1
The two interfering waves have intensities in the ratio 9:4. The ratio of intensities of maxima and minima in the interference pattern will be
  • 1 : 25
  • 25 : 1
  • 9 : 4
  • 4 : 9
If the ratio of amplitude of two waves is 4 : 3. Then the ratio of maximum and minimum intensity will be
  • 16 : 18
  • 18 : 16
  • 49 : 1
  • 1 : 49
Equation of motion in the same direction is given by
y1 = A sin (ωt – kx), y2 A sin(ωt – kx – θ).
The amplitude of the medium particle will be

  • Physics-Waves-96557.png
  • 2)
    Physics-Waves-96558.png

  • Physics-Waves-96559.png

  • Physics-Waves-96560.png

Physics-Waves-96562.png
  • 5
  • 7
  • 1
  • 0

Physics-Waves-96564.png
  • a
  • 2)
    Physics-Waves-96565.png

  • Physics-Waves-96566.png
  • 2a
Two waves coming from two coherent sources, having different intensities interfere their ratio of maximum intensity to the minimum intensity is 25. The intensities of the sources are in the ratio
  • 25 : 1
  • 25 : 16
  • 9 : 4
  • 5 : 1
Light from two coherent sources of the same amplitude A and wavelength λ illuminates the screen. The intensity of the central maximum is I0. If the sources were incoherent, the intensity at the same point will be
  • 4 I0
  • 2 I0
  • I0
  • I0 / 2
In the experiment to determine the speed of sound using a resonance column
  • Prongs of the tuning fork are kept in a vertical plane
  • Prongs of the tuning fork are kept in a horizontal plane
  • In one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air
  • In one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air
Two tuning forks when sounded together produced 4 beats/sec. The frequency of one fork is 256. The number of beats heard increases when the fork of frequency 256 is loaded with wax. The frequency of the other fork is
  • 504
  • 520
  • 260
  • 252
Beats are the result of
  • Diffraction
  • Destructive interference
  • Constructive and destructive interference
  • Superposition of two waves of nearly equal frequency
Two adjacent piano keys are struck simultaneously. The notes emitted by them have frequencies n1 and n2. The number of beats heard per second is

  • Physics-Waves-96577.png
  • 2)
    Physics-Waves-96578.png

  • Physics-Waves-96579.png

  • Physics-Waves-96580.png
Two tuning forks of frequencies n1 and n2 produces n beats per second. If n2 and n are known, n1 may be given by

  • Physics-Waves-96581.png
  • 2)
    Physics-Waves-96582.png

  • Physics-Waves-96583.png

  • Physics-Waves-96584.png
If two tuning forks A and B are sounded together, they produce 4 beats per second. A is then slightly loaded with wax, they produce 2 beats when sounded again. The frequency of A is 256. The frequency of B will be
  • 250
  • 252
  • 260
  • 262
A tuning fork of frequency 250 Hz produces a beat frequency of 10 Hz when sounded with a sonometer vibrating at its fundamental frequency. When the tuning fork is filed, the beat frequency decreases. If the length of the sonometer wire is 0.5 m, the speed of the transverse wave is
  • 260 ms–1
  • 250 ms–1
  • 240 ms–1
  • 500 ms–1
A tuning fork gives 5 beats with another tuning fork of frequency 100 Hz. When the first tuning fork is loaded with wax, then the number of beats remains unchanged, then what will be the frequency of the first tuning fork ?
  • 95 Hz
  • 100 Hz
  • 105 Hz
  • 110 Hz
Tuning fork F1 has a frequency of 256 Hz and it is observed to produce 6 beats/second with another tuning fork F2. When F2 is loaded with wax, it still produces 6 beats/second with F1. The frequency of F2 before loading was
  • 253 Hz
  • 262 Hz
  • 250 Hz
  • 259 Hz
A tuning fork and a sonometer wire were sounded together 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
  • 156 Hz
  • 152 Hz
  • 148 Hz
  • 160 Hz
Two tuning forks A and B vibrating simultaneously produce 5 beats. Frequency of B is 512. It is seen that if one arm of A is filed, then the number of beats increases. Frequency of A will be
  • 502
  • 507
  • 517
  • 522
The beats are produced by two sound sources of same amplitude and of nearly equal frequencies. The maximum intensity of beats will be that of one source
  • Same
  • Double
  • Four times
  • Eight times
A tuning fork whose frequency as given by manufacturer is 512 Hz is being tested with an accurate oscillator. It is found that the fork produces a beat of 2 Hz when oscillator reads 514 Hz but produces a beat of 6 Hz when oscillator reads 510 Hz. The actual frequency of fork is
  • 508 Hz
  • 512 Hz
  • 516 Hz
  • 518 Hz
A tuning fork of frequency 480 Hz produces 10 beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces lesser beats per second than before?
  • 460 Hz
  • 470 Hz
  • 480 Hz
  • 490 Hz
The disc of a siren containing 60 holes rotates at a constant speed of 360 rpm. The emitted sound is in unison with a tuning fork of frequency
  • 10 Hz
  • 360 Hz
  • 216 Hz
  • 6 Hz
A source of sound gives five beats per second when sounded with another source of frequency 100 s–1. The second harmonic of the source together with a source of frequency 205 s–1 gives five beats per second. What is the frequency of the source ?
  • 105 s–1
  • 205 s–1
  • 95 s–1
  • 100 s–1
Two tuning forks, A and B, give 4 beats per second when sounded together. The frequency of A is 320 Hz. When some wax is added to B and it is sounded with A, 4 beats per second are again heard. The frequency of B is
  • 312 Hz
  • 316 Hz
  • 324 Hz
  • 328 Hz
Two tuning forks have frequencies 380 and 384 Hz respectively. When they are sounded together, they produce 4 beats. After hearing the maximum sound, how long will it take to hear the minimum sound?
  • 1/2 sec
  • 1/4 sec
  • 1/8 sec
  • 1/16 sec
An unknown frequency x produces 8 beats per seconds with a frequency of 250 Hz and 12 beats with 270 Hz source, then x is
  • 258 Hz
  • 242 Hz
  • 262 Hz
  • 282 Hz
0:0:1


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