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

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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

Concept Questions :-

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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The displacement of a particle is given by y=5×104sin(100t50x), where x is in meter and t is in  sec, find out the velocity of the wave :

(1) 5000 m/sec

(2) 2 m/sec

(3) 0.5 m/sec

(4) 300 m/sec

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Which one of the following does not represent a traveling wave :

(1) y=sin(xvt)

(2) y=ymsink(x+vt)

(3) y=ymsin(xvt)

(4) y=f(x2vt2)

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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 180°

(4) The phase between them is 0°

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