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Different Forms of Equations

The wave equa...

Question

The wave equation of a pulse is given by $y = \frac{3}{2 + (x - 4 t)^{2}}$ where y is in metre and t in second. The wave velocity of the pulse is

+ 4 m s^{- 1}

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- 4 m s^{- 1}

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+ 2 m s^{- 1}

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- 2 m s^{- 1}

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Solution

The correct option is A $+ 4 m s^{- 1}$
Velocity of pulse $= \frac{C o e f f i c i e n t o f t}{c o e f f i c i e n t o f x} = - \frac{- 4}{1} = + 4 m s^{- 1}$

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