You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 : - 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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 $5$
$∴ \frac{Particle velocity}{wave velocity} = - 5$

Suggest Corrections

Similar questions

For given shape of wave at time

t = t_{0}

, velocity of particle at

x = x_{0}

is twice the wave velocity of given transverse wave. Find the slope of wave at

x = x_{0}

For given shape of wave at time

t = t_{0}

, velocity of particle at

x = x_{0}

is twice the wave velocity of given transverse wave. Find the slope of wave at

x = x_{0}

Q. Shape of a transverse wave at time

t = t_{0}

is shown in the figure given below.

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}

Q. A progressive simple harmonic wave is moving in air along the

x

-axis. The part of this wave at a given point

x = x_{0}

from the source and at a certain instant

t = t_{0}

has the waveform shown below in the displacement-time

(y - t)

graph and velocity-time (v-t) graph respectively. Velocity of the wave has value

V_{0}

and its angular frequency is

ω

. Which of the following equations will correctly represent the complete wave at

x = x_{0}

, agreeing with above waveforms?

A wave propagates on a string in the positive x-direction at a velocity v. The shape of the string at $t = t_{0}$ is given by $g (x, t_{0})$ = A sin $(\frac{x}{a})$ Write the wave equation for a general time t.

Join BYJU'S Learning Program

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 $5$
$∴ \frac{Particle velocity}{wave velocity} = - 5$