Travelling Sine Wave MCQ - Practice Questions & Answers

Solve by difficulty

A simple harmonic progressive wave is represented by the equation, $y = 8\sin(0.1x -2t)$ , where $x\; \&\; y$ are in cm and $t$ is in second. At any instant the phase difference between two particles separated by 2 cm in $x$ - direction is?

$18\degree$

$36\degree$

$54\degree$

$72\degree$

View Solution

A travelling wave is described by the equation

$y(x, t)=[0.05 \sin (8 x-4 t)] \mathrm{m}$

The velocity of the wave is : [all the quantities are in SI unit]

$8 \mathrm{~ms}^{-1}$

$4 \mathrm{~ms}^{-1}$

$0.5 \mathrm{~ms}^{-1}$

$2 \mathrm{~ms}^{-1}$

View Solution

Concepts Covered - 1

Sine wave travelling on string

The sine wave or sinusoid is a mathematical function that describes a smooth repetitive oscillation.

$y(t)=A\sin(\omega t+\phi )$

Here ω, is the angular frequency i.e,

$\omega =\frac{2\pi }{T}=2\pi f$ It defines how many cycles of the oscillations are there.

and $\phi$ = phase angle

General form :

a spatial variable x that represents the position on the dimension on which the wave propagates, and a characteristic parameter k called wave number which represents the proportionality between the angular frequency ω and the linear speed (speed of propagation ) ν.

which is

$y(x,t)=A\sin(kx-\omega t+\phi )$ when the wave is moving towards the right