A travelling wave is described by the equation y(x, t)=[0.05 sin (8 x-4 t)] m The velocity of the wave is: [all the quantities are in SI unit]

Question

A travelling wave is described by the equation y(x, t)=[0.05 sin (8 x-4 t)] m The velocity of the wave is: [all the quantities are in SI unit] (A) 4 ms -1 (B) 8 ms -1 (C) 0.5 ms -1 (D) 2 ms -1

Tardigrade Admin · Accepted Answer

From the given equation k =8 m -1 and ω=4 rad / s Velocity of wave =(ω/ k ) v =(4/8)=0.5 m / s

Q. A travelling wave is described by the equation
$y (x, t) = [0.05 sin (8 x - 4 t)] m$
The velocity of the wave is : [all the quantities are in SI unit]

$4 m s^{- 1}$

$8 m s^{- 1}$

$0.5 m s^{- 1}$

$2 m s^{- 1}$

From the given equation $k = 8 m^{- 1}$
and $ω = 4 r a d / s$ Velocity of wave $= \frac{ω}{k}$
$v = \frac{4}{8} = 0.5 m / s$

Q. A travelling wave is described by the equation y(x,t)=[0.05sin(8x−4t)]m The velocity of the wave is : [all the quantities are in SI unit]

4ms−1

8ms−1

0.5ms−1

2ms−1