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Standard XII

Physics

Sinusoidal Wave

The equation ...

Question

The equation of a wave travelling on a stretched string along the x-axis is $y = a e^{- (b x + c t)}$ . The direction of propagation of wave is_______

Along negative y axis

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Along positive y axis

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Along negative x axis

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Along positive x axis

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Solution

The correct option is D Along negative x axis
The direction of propagation of wave of the form
$y = f (a x + b t)$ is $- x$
and of $y = f (a x - b t)$ is $+ x$
$∴ y = a e^{^{- (b x + c t)}} = \frac{a}{e^{(b x + c t)}}$
$∴$ direction of propagation is along negative x - axis

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The equation of a wave travelling on a stretched string along the x-axis is y=ae−(bx+ct). The direction of propagation of wave is_______

The correct option is D Along negative x axisThe direction of propagation of wave of the form y=f(ax+bt) is −x and of y=f(ax−bt) is +x∴y=ae−(bx+ct)=ae(bx+ct)∴ direction of propagation is along negative x - axis

The equation of a wave travelling on a stretched string along the x-axis is $y = a e^{- (b x + c t)}$ . The direction of propagation of wave is_______

The correct option is D Along negative x axis
The direction of propagation of wave of the form
$y = f (a x + b t)$ is $- x$
and of $y = f (a x - b t)$ is $+ x$
$∴ y = a e^{^{- (b x + c t)}} = \frac{a}{e^{(b x + c t)}}$
$∴$ direction of propagation is along negative x - axis