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For a travelling harmonic wave y=2.0 cos...

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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To find the phase difference between the oscillatory motion of two points separated by a given distance in a traveling harmonic wave described by the equation \( y = 2.0 \cos(10t - 0.0080x + 0.35) \), we can follow these steps: ### Step 1: Identify the wave parameters The general form of a traveling wave is given by: \[ y = A \cos(\omega t - kx + \phi) \] From the given equation, we can identify: - Amplitude \( A = 2.0 \) - Angular frequency \( \omega = 10 \, \text{rad/s} \) ...
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