SHM expression

y = 3 sin π t...

Question

$y = 3 s i n π (\frac{t}{2} - \frac{x}{4})$ represents an equation of a progressive wave, where $t$ is in second and $x$ is in metre. The distance travelled by the wave in $5 s$ is

8 m

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10 m

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5 m

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32 m

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Solution

The correct option is D $10 m$
Velocity of the wave, $(v) = \frac{ω}{k} = 2 m s^{- 1}$
Distance travelled $= v \times t = 2 \times 5 = 10 m$
Total distance travelled $= 10 m$

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