A wave equation that gives the displacement along y-direction is given by y=0.001sin(100t+x) where x and y are in meter and t is time in seconds. This represented a wave :

(1) Of frequency 100πHz

(2) Of wavelength one metre

(3) Traveling with a velocity of 50πms–1 in the positive X-direction

(4) Traveling with a velocity of 100 ms–1 in the negative X-direction

Subtopic:  Wave Motion |
 86%
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A wave travelling in positive X-direction with A = 0.2 m has a velocity of 360 m/sec. if λ = 60 m, then the correct expression for the wave is :

(1) y=0.2sin2π6t+x60

(2) y=0.2sinπ6t+x60

(3) y=0.2sin2π6t-x60

(4) y=0.2sinπ6t-x60

Subtopic:  Wave Motion |
 84%
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Two waves represented by the following equations are travelling in the same medium y1=5sin2π(75t0.25x), y2=10sinπ(150t0.50x)

The intensity ratio I1/I2 of the two waves is :

(1) 1 : 2

(2) 1 : 4

(3) 1 : 8

(4) 1 : 16

Subtopic:  Wave Motion |
 78%
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Which of the following is not true for this progressive wave y=4sin2πt0.02x100 where y and x are in cm and t in sec 

(1) Its amplitude is 4 cm

(2) Its wavelength is 100 cm

(3) Its frequency is 50 cycles/sec

(4) Its propagation velocity is 50 × 103 cm/sec

Subtopic:  Wave Motion |
 74%
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A transverse progressive wave on a stretched string has a velocity of 10 ms–1 and a frequency of 100 Hz. The phase difference between two particles of the string which are 2.5 cm apart will be :

(1) π8

(2) π4

(3) 3π8

(4) π2

Subtopic:  Wave Motion |
 82%
From NCERT
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The phase difference between two waves represented by y1=106sin[100t+(x/50)+0.5]m, y2=106cos[100t+(x/50)]m where x is expressed in metres and t is expressed in seconds, is approximately:

(1) 1.5 rad

(2) 1.07 rad

(3) 2.07 rad

(4) 0.5 rad

Subtopic:  Wave Motion |
 68%
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A particle on the trough of a wave at any instant will come to the mean position after a time (T = time period) 

(1) T/2

(2) T/4

(3) T

(4) 2T

Subtopic:  Wave Motion |
 75%
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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 the resultant wave is :

(1) A2:ω2

(2) A2:ω

(3) 2A:ω2

(4) 2A:ω

Subtopic:  Wave Motion |
 77%
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Two waves are propagating to the point \(P\) along a straight line produced by two sources, \(A\) and \(B\), of simple harmonic and equal frequency. The amplitude of every wave at \(P\) is \(a\) and the phase of \(A\) is ahead by \(\frac{\pi}{3}\) than that of \(B\), and the distance \(AP\) is greater than \(BP\) by \(50~\text{cm}\). If the wavelength is \(1~\text{m}\), then the resultant amplitude at point \(P\) will be:
1. \(2a\)
2. \(a\sqrt{3}\)
3. \(a\sqrt{2}\)
4. \(a\)
Subtopic:  Standing Waves |
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The minimum intensity of sound is zero at a point due to two sources of nearly equal frequencies, when :

1. Two sources are vibrating in opposite phase

2. The amplitude of the two sources are equal

3. 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

4. Both the sources are in the same phase

Subtopic:  Speed of Sound |
 51%
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