Question 484: Waves

Question

A wave travelling in positive X-direction with a $$=$$ 0.2 ms
$$-$$2
, velocity = 360 ms
$$-$$1
and $$\lambda $$ $$=$$ 60 m,  then correct expression for the wave is

Accepted Answer

The equation of progressive wave travelling in positive x-direction is given by
$$y = a\sin {{2\pi } \over \lambda }\left( {vt - x} ight)$$
Here a = 0.2 m, v = 360 m/sec, $$\lambda $$ = 60 m
$$ 	herefore y = 0.2\sin {{2\pi } \over {60}}\left( {360t - x} ight)$$
$$ = 0.2sin\left[ {2\pi \left( {6t - {x \over {60}}} ight)} ight]$$

Answer

$$y = 0.2\sin \left[ {2\pi \left( {6t + {x \over {60}}} \right)} \right]$$

Answer

$$y = 0.2\sin \left[ {\pi \left( {6t + {x \over {60}}} \right)} \right]$$

Answer

$$y = 0.2\sin \left[ {2\pi \left( {6t - {x \over {60}}} \right)} \right]$$

Answer

$$y = 0.2\sin \left[ {\pi \left( {6t - {x \over {60}}} \right)} \right]$$

Waves

A wave travelling in positive X-direction with a $= 0.2 ms -2 , velocity = 360 ms -1 and \lambda =$ 60 m, then correct expression for the wave is

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