The equation of wave is given by where and are in and in . The speed of the wave is ________ . [2023]

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Solution

Q.
The equation of wave is given by $Y = 10^{- 2} \sin 2 π (160 t - 0.5 x + \frac{π}{4})$

where $x$ and $Y$ are in $m$ and $t$ in $s$ . The speed of the wave is ________ ${km h}^{- 1}$ . [2023]

Ans.
(1152)

$V = \frac{ω}{k} = \frac{160}{0.5} m/s = \frac{160}{0.5} \times \frac{18}{5} km/h = 1152 km/h$

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