Wave motionHardBloom L3

Question

At x=0 particle oscillates by law $y = \frac{3}{2t^{2} + 1}$. If wave is propagating along –ve x axis with velocity 2m/s. Find equation of wave

Options

A.$y = \frac{3}{2\left( t - \frac{x}{2} \right)^{2} + 1}$
B.$y = \frac{3}{2\left( t + \frac{x}{2} \right)^{2} + 1}$
C.$y = \frac{3}{2\left( t - \frac{z}{2} \right)^{2} + 1}$
D.$y = \frac{3}{2\left( t + \frac{z}{2} \right)^{2} + 1}$

Solution

Sol. $y = \frac{3}{2t^{2} + 1}atx = 0$

vw = 2 m/s (towards –ve x axis)

y (x, t) = y$\left( t + \frac{x}{v} \right)$

y (x, t) =$\frac{3}{2\left( t + \frac{x}{2} \right)^{2} + 1}$

Create a free account to view solution

View Solution Free
Topic: Wave motion·Practice all Wave motion questions

More Wave motion Questions

16 tuning forks are arranged in increasing order of frequency. Any two consecutive tuning forks when sounded together pr...The wavelength of a distant star is 5700 Ao and the spectral light has a shift of 1.9 Ao towards red end then the veloci...A transverse wave is travelling along a horizontal string. The first picture shows the shape of the string at an instant...The equation of a progressive wave for a wire is : Y = 4 sinif x and y are measured in...A stretched string is 1 m long. Its mass per unit length is 0.5 g/m. It is stretched with a force of 20 N. It plucked at...