The displacement due to a wave moving in the positive $x$-direction is given by $y = \frac{1}{(1 + x^2)}$ at time $t = 0$ and by $y = \frac{1}{[1 + (x - 1)^2]}$ at $t = 2$ seconds,where $x$ and $y$ are in metres. The velocity of the wave in $m/s$ is

  • A
    $0.5$
  • B
    $1$
  • C
    $2$
  • D
    $4$

Explore More

Similar Questions

$A$ travelling wave passes a point of observation. At this point,the time interval between successive crests is $0.2 \ s$. Which of the following is true?

The figure given shows a sinusoidal wave on a string. If the frequency of the wave is $150 \, Hz$,what is the wavelength and velocity of the given wave?

$A$ transverse wave in a medium is described by the equation $y = A \sin^2 (\omega t - kx)$. The magnitude of the maximum velocity of particles in the medium will be equal to that of the wave velocity,if the value of $A$ is ($\lambda$ = wavelength of wave).

Difficult
View Solution

The equation of the wave is $Y = 10 \sin \left(\frac{2 \pi t}{30} + \alpha\right)$. If the displacement is $5 \text{ cm}$ at $t = 0$,then the total phase at $t = 7.5 \text{ s}$ will be (Given: $\sin 30^{\circ} = 0.5$)

The distance between two successive minima of a transverse wave is $2.7 \ m$. Five crests of the wave pass a given point along the direction of travel every $15.0 \ s$. The speed of the wave is (in $m \ s^{-1}$)

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo