When a transverse plane wave traverses a medium- individual particles execute periodic motion given by the equation y - 0-25 cos2- t- x- The phase difference for two position of same particle which are occupied by time intervals 0-4 second apart is

Phase difference ϕ=2πtT Here T=2πω=2π2π=1s Hence, ϕ=2π× 0.4=0.8π #160; ϕ=4π5 ...

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Byju's Answer

Standard XII

Physics

Phase Difference

When a transv...

Question

When a transverse plane wave traverses a medium, individual particles execute periodic motion given by the equation $y = 0.25 c o s (2 π t - π x)$ . The phase difference for two position of same particle which are occupied by time intervals 0.4 second apart is

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Solution

Phase difference $ϕ = 2 π \frac{t}{T}$

Here $T = \frac{2 π}{ω} = \frac{2 π}{2 π} = 1 s$

Hence, $ϕ = 2 π \times 0.4 = 0.8 π$

$⟹ ϕ = \frac{4 π}{5}$

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