Two waves travelling in a medium in the x-direction are represented by , ${y_1} = A\sin \left( {\alpha t - \beta x} \right)$ and ${y_2} = A\cos \left( {\beta x + \alpha t - \pi /4} \right)$ where ${y_1}\;\,\,and\,\,{\rm{ }}{y_2}$ are the displacements of the particles of the medium, t is time, and $\alpha \,and\,\beta $ are constants. The two waves have different

NEET UG PHYSICS MCQ: WAVES

1 Medium

1 of 1

Analyzing +4 | -1

Two waves travelling in a medium in the x-direction are represented by ,

{y_1} = A\sin \left( {\alpha t - \beta x} \right)

and

{y_2} = A\cos \left( {\beta x + \alpha t - \pi /4} \right)

where

{y_1}\;\,\,and\,\,\mathrm{ }{y_2}

are the displacements of the particles of the medium, t is time, and 

\alpha \,and\,\beta

are constants. The two waves have different

View answer and explanation

Correct option: B

Directions of propagation

Option B (Directions of propagation) is correct because the sign difference between the time and position terms in the wave equations determines the direction of propagation.

More Questions from WAVES

Practice All Chapter MCQs →

1000\,\,Hz

sound wave in air strikes the surface of a lake and penetrates into water. If speed of sound in water is

1500\,\,\mathrm{m}{\mathrm{s}^{ - 1}}

, the frequency and wavelength of waves in water are The equation for spherical progressive wave is (where

r

is the distance from the source) One metre long tube, closed at both ends, is lying horizontally. A mercury column of length 0.1m is filled in its middle and in rest two parts air is filled at atmospheric pressure. When tube is turned to vertical position, then displacement of mercury will be (standard pressure = 0.76 m of Hg) A tuning fork produces waves in a medium. If the temperature of the medium changes, then which of the following will change In a stationary wave all the particles A SONAR system fixed in a submarine operates at a frequency

40.0 \mathrm{kHz}

. An enemy submarine moves towards the SONAR with a speed of

360 \mathrm{~km} / \mathrm{h}

. What is the frequency of sound reflected by a submarine? Take the speed of sound in water to be

1450 \mathrm{~m} / \mathrm{s}