When a wave travels in a medium, the particle displacement is given by
$y (x, t) = 0.03 s i n π (2 t - 0.01 x)$
where y and x are expressed in metres and t in seconds. At a given instant of time, the phase difference between two particles 25 m apart is

Q. The equation of a transverse wave on a stretched string is given by

y = 0.05 sin 2 π (\frac{t}{0.002} - \frac{x}{0.1})

, where

x

and

y

are expressed in metre and

t

in second. The speed of the wave is

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Equation for a wave on a string is given by y=0.03sin(15.70x−2t) where y and x are in metres and t is in seconds. At t=0, find the value of displacement for a particle on string at x=0.1 m.

The correct option is C 3 cmGiven, The equation of a wave on a string y=0.03sin(15.70x−2t) Substituting t=0 and x=0.1 in above equation we get, y=0.03sin(1.57) Angle in radian can be converted to degrees by multiplying with 180π ⇒y=0.03sin(1.57×180π) ⇒y=0.03sin90∘ ∴y=0.03 m=3 cm

Equation for a wave on a string is given by $y = 0.03 sin (15.70 x - 2 t)$ where $y$ and $x$ are in metres and $t$ is in seconds. At $t = 0$ , find the value of displacement for a particle on string at $x = 0.1 m$ .