For a travelling harmonic wave y ( x , t ) = 2.0 cos 2 π ( 10 t − 0.0080 x + 0.35 ) , where x and y are in cm and t in s. The phase difference between oscillatory motion of two points separated by a d

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For a travelling harmonic wave y ( x , t ) = 2.0 cos 2 π ( 10 t − 0.0080 x + 0.35 ) , where x and y are in cm and t in s. The phase difference between oscillatory motion of two points separated by a distance of 0.5 m is :NEET 2026 (Cancelled)

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The given equation of the travelling harmonic wave is $y (x, t) = 2.0 cos 2 π (10 t - 0.0080 x + 0.35)$ .

Comparing this with the standard wave equation $y (x, t) = A cos (ω t - k x + ϕ_{0})$ , we get the wave number $k = 2 π \times 0.0080$ rad/cm.

The distance between the two points is given as $Δ x = 0.5$ m $= 50$ cm.

The phase difference $Δ ϕ$ between two points separated by a distance $Δ x$ is given by $Δ ϕ = k Δ x$ .

Substituting the values, we get:

$Δ ϕ = (2 π \times 0.0080) \times 50$

$Δ ϕ = 2 π \times 0.4 = 0.8 π$ rad.

Answer: $0.8 π$ rad

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