An observer standing near the seashore observes 54 waves per minute. If the wavelength of the water wave is 10m then the velocity of a water wave is :

(1) 540 ms-1

(2) 5.4 ms-1

(3) 0.184 ms-1

(4) 9 ms-1

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The equation of a wave is y=2sinπ(0.5x200t), where x and y are expressed in cm and t in sec. The wave velocity is :

(1) 100 cm/sec

(2) 200 cm/sec

(3) 300 cm/sec

(4) 400 cm/sec

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Equation of a progressive wave is given by

y=0.2cosπ0.04t+.02xπ6

The distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of π/2 :

(1) 4 cm

(2) 8 cm

(3) 25 cm

(4) 12.5 cm

Concept Questions :-

Types of waves
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Two waves are given by y1=asin(ωtkx) and y2=acos(ωtkx). The phase difference between the two waves is :

(1) π4

(2) π

(3) π8

(4) π2

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Types of waves
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If the amplitude of waves at distance r from a point source is A, the amplitude at a distance 2r will be :

(1) 2A

(2) A

(3) A/2

(4) A/4

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A wave is reflected from a rigid support. The change in phase on reflection will be : 

(1) π/4

(2) π/2

(3) π

(4) 2π

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A plane wave is represented by x=1.2sin(314t+12.56y)

Where x and y are distances measured along in x and y direction in meters and t is time in seconds. This wave has 

(1) A wavelength of 0.25 m and travels in + ve x-direction

(2) A wavelength of 0.25 m and travels in + ve y-direction

(3) A wavelength of 0.5 m and travels in – ve y-direction

(4) A wavelength of 0.5 m and travels in – ve x-direction

Concept Questions :-

Types of waves
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The equation of a wave traveling in a string can be written as y=3cosπ(100tx). Its wavelength is :

(1) 100 cm

(2) 2 cm

(3) 5 cm

(4) None of the above

Concept Questions :-

Types of waves
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A transverse wave is described by the equation y=Y0sin2πft-2πλx. The maximum particle velocity is four times the wave velocity if :

(1) λ=πY04

(2) λ=πY02

(3) λ=πY0

(4) λ=2πY0

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Types of waves
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A transverse wave of amplitude 0.5 m and wavelength 1 m and frequency 2 Hz is propagating in a string in the negative x-direction. The expression for this wave is :

(1) y(x,t)=0.5sin(2πx4πt)

(2) y(x,t)=0.5cos(2πx+4πt)

(3) y(x,t)=0.5sin(πx2πt)

(4) y(x,t)=0.5cos(2πx+2πt)

Concept Questions :-

Types of waves
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