The equation of wave at any time is obtained by putting X=x−vt y=1+x21=1+(x−vt)21 We know at t=2sec, y=1+(x−1)21 On comparing (i) and (ii) we get vt=1 V=t1 As t=2sec ∴V=21=0.5 m/s.
The disturbance y(x, t) of a wave propagating in the positive x-direction is given by y= 1 1+x^2 at time t=0 and by y= 1 [1+ (x-1^2 ) ] at t=2 ~s,…
JEE Main 2012 — Physics Waves & Oscillations
2012mcqhard
The disturbance y(x,t) of a wave propagating in the positive x-direction is given by y=1+x21 at time t=0 and by y=[1+(x−12)]1 at t=2 s, where x and y are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in m/s is
Official previous-year question
Held on 26 May 2012 · Verified 6 Jul 2026.
Options
- A
2.0
- B
4.0
- C
0.5
- D
1.0
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