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Atul Khurana
Asked: 2022-11-09T09:19:30+05:30 In:

For a travelling harmonic wave `y=2.0 cos(10t-0.0080x+0.35)`, where x and y are in centimetres and t in seconds. What is the phase difference between oscillatory motion of two points separated by a distance of (a) 4m (b) 0.5 m (c ) `lambda//2` (d) `3lambda//4`

For a travelling harmonic wave `y=2.0 cos(10t-0.0080x+0.35)`, where x and y are in centimetres and t in seconds. What is the phase difference between oscillatory motion of two points separated by a distance of (a) 4m (b) 0.5 m (c ) `lambda//2` (d) `3lambda//4`
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  1. Correct Answer – (a) `6, 4 pi` rad , (b) `0.8 pi` rad
    `pi` rad , (d) `(p//2)` rad

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Chandni Nori
Asked: 2022-11-08T20:29:05+05:30 In:

For a travelling harmonic wave `y=2.0 cos(10t-0.0080x+0.35)`, where x and y are in centimetres and t in seconds. What is the phase difference between oscillatory motion of two points separated by a distance of (a) 4m (b) 0.5 m (c ) `lambda//2` (d) `3lambda//4`

For a travelling harmonic wave `y=2.0 cos(10t-0.0080x+0.35)`, where x and y are in centimetres and t in seconds. What is the phase difference between oscillatory motion of two points separated by a distance of (a) 4m (b) 0.5 m (c ) `lambda//2` (d) `3lambda//4`
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  1. Correct Answer – A::B::C::D

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Aarti Bharat Desai
Asked: 2022-11-05T05:05:52+05:30 In:

For a travelling harmonic wave `y=2.0 cos(10t-0.0080x+0.35)`, where x and y are in centimetres and t in seconds. What is the phase difference between oscillatory motion of two points separated by a distance of (a) 4cm (b) 0.5 cm (c ) `lambda//2` (d) `3lambda//4`

For a travelling harmonic wave `y=2.0 cos(10t-0.0080x+0.35)`, where x and y are in centimetres and t in seconds. What is the phase difference between oscillatory motion of two points separated by a distance of (a) 4cm (b) 0.5 cm (c ) `lambda//2` (d) `3lambda//4`
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  1. Given `y=2.0 cos (10t-0.0080x+0.35)`.
    The standard equation of travelling harmonic wave can be writtien as `y =A xcos(omegat-kx+phi)`.
    on comparing two equation, we have `omega =10 red//s`
    and `k=0.0080 cm^(-1)=0.80 m^(-1)`
    `lambda=(2pi)/(k)=(2pi)/(0.80)m`
    phase dufference `Deltaphi=(2pi)/(lambda)xxDeltax`
    (i). when `DeltaX=4 M,Delta phi=(2pi)/((2pi//0.80))xx4=3.2 rad`
    (ii) when `Deltax=0.5 m, Delta `phi=(2pi)/((2pi/0.80))xx0.5=0.40` rad
    (iii) when `Deltax=(pi)/(2), Delta phi=(2pi)/(lambda)xx(lambda)/(2)=pi rad`
    (iv). when `Deltax=(3lambda)/(4), Delta phi=(2pi)/(lambda)xx(3lambda)/(4)=(3pi)/(2) rad`

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