Shape of a transverse wave at time t - t 0 is shown in the figure given below-curve is 5 - Find the ratio of particle velocity to the wave velocity at x - x 0-A- 1-5B- 5- 1 - -5- 1D- 1- 5

The correct option is C 5:1We know that, Particle velocity = wave velocity×slope of the wave ⇒Particle velocitywave velocity= slope of the wave since, slope ...

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Standard XII

Physics

Wave Speed expression

Shape of a tr...

Question

Shape of a transverse wave at time $t = t_{0}$ is shown in the figure given below.

At $x = x_{0}$ and time $t = t_{0}$ , slope of the wave curve is $5$ . Find the ratio of particle velocity to the wave velocity at $x = x_{0}$ .

- 5 : 1

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Solution

The correct option is A $- 5 : 1$
We know that,
$Particle velocity = - wave velocity \times slope of the wave$
$\Rightarrow \frac{Particle velocity}{wave velocity} = - slope of the wave$
since, slope of wave at $x = x_{0}, t = t_{0}$ is $5$
$∴ \frac{Particle velocity}{wave velocity} = - 5$

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Shape of a transverse wave at time t=t0 is shown in the figure given below. At x=x0 and time t=t0, slope of the wave curve is 5. Find the ratio of particle velocity to the wave velocity at x=x0.

The correct option is A −5:1We know that, Particle velocity=−wave velocity×slope of the wave ⇒Particle velocitywave velocity=−slope of the wave since, slope of wave at x=x0, t=t0 is 5 ∴Particle velocitywave velocity=−5

Shape of a transverse wave at time $t = t_{0}$ is shown in the figure given below.

At $x = x_{0}$ and time $t = t_{0}$ , slope of the wave curve is $5$ . Find the ratio of particle velocity to the wave velocity at $x = x_{0}$ .

The correct option is A $- 5 : 1$
We know that,
$Particle velocity = - wave velocity \times slope of the wave$
$\Rightarrow \frac{Particle velocity}{wave velocity} = - slope of the wave$
since, slope of wave at $x = x_{0}, t = t_{0}$ is $5$
$∴ \frac{Particle velocity}{wave velocity} = - 5$