A simple harmonic progressive wave is represented by the equation : y=8sin2π(0.1x2t) where x and y are in cm and t is in seconds. At any instant the phase difference between two particles separated by 2.0 cm in the x-direction is :

(1) 18°

(2) 36°

(3) 54°

(4) 72°

Subtopic:  Wave Motion |
 69%
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The equation of progressive wave is y=asin(200tx). where x is in meter and t is in second. The velocity of wave is :

(1) 200 m/sec

(2) 100 m/sec

(3) 50 m/sec

(4) None of these

Subtopic:  Wave Motion |
 92%
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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%
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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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