The wave equations of two particles are given by y1=asin(ωtkx), y2=asin(kx+ωt), then:

1. they are moving in the opposite direction.
2. the phase between them is 90°.
3. the phase between them is 45°.
4. the phase between them is 0°.


 

Subtopic:  Wave Motion |
 79%
From NCERT
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A transverse wave is represented by the equation y=y0sin2πλ(vtx)

For what value of λ, the maximum particle velocity equal to two times the wave velocity?

(1) λ=2πy0

(2) λ=πy0/3

(3) λ=πy0/2

(4) λ=πy0

Subtopic:  Wave Motion |
 73%
From NCERT
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A wave travels in a medium according to the equation of displacement given by y(x,t)=0.03sinπ(2t0.01x) where y and x are in metres and t in seconds. The wavelength of the wave is :

1. 200 m

2. 100 m

3. 20 m

4. 10 m

Subtopic:  Wave Motion |
 88%
From NCERT
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The equation of a progressive wave is given by y=4sinπt5x9+π6.
Which of the following is correct​​​​?
1. v = 5 m / sec
2.  λ = 18 m
3.  a = 0.04 m
4.  n = 50 Hz

Subtopic:  Wave Motion |
 85%
From NCERT
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The frequency of the sinusoidal wave y=0.40cos[2000t+0.80x] would be :

(1) 1000 π Hz

(2) 2000 Hz

(3) 20 Hz

(4) 1000πHz

Subtopic:  Wave Motion |
 89%
From NCERT
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The equation of a plane progressive wave is given by y=0.025sin(100t+0.25x). The frequency of this wave would be :

(1) 50πHz

(2) 100πHz

(3) 100 Hz

(4) 50 Hz

Subtopic:  Wave Motion |
 89%
From NCERT
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In the given progressive wave equation, what is the maximum velocity of particle Y=0.5sin(10πt5x)cm 

(1) 5 cm/s

(2) 5π cm/s

(3) 10 cm/s

(4) 10.5 cm/s

Subtopic:  Wave Motion |
 91%
From NCERT
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Two waves of frequencies 20 Hz and 30 Hz travel out from a common point. The phase difference between them after 0.6 sec is :

(1) Zero

(2) π2

(3) π

(4) 3π4

Subtopic:  Beats |
 58%
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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%
From NCERT
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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%
From NCERT
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