The wave described by y=0.25 (10 π x-2 π t) , where x and y are in meters and t in seconds, is a wave travelling along the

Correct answer: D. +ve x direction with frequency 1 ~Hz and wavelength λ=0.2 ~m Give, y=0.25 (10 π x-2 π t) Comparing with y=A ((2 π)/(λ) · x-2 π n t) , we get, aligned & λ=0.2 ~m & n=1 ~Hz aligned -ve sign indicates, the x direction.

NEET 2008

Exam: NEET
Year: 2008
Subject: Physics
Chapter: Waves and Sound

NEET 2008 · Physics · Waves and Sound

The wave described by y=0.25 (10 π x-2 π t) , where x and y are in...

The wave described by

y=0.25 \sin (10 \pi x-2 \pi t)

, where

\mathrm{x}

and

\mathrm{y}

are in meters and

\mathrm{t}

in seconds, is a wave travelling along the

Options

A-ve $\mathrm{x}$ direction with amplitude $0.25 \mathrm{~m}$ and wavelength $\lambda=0.2 \mathrm{~m}$
B-ve $x$ direction with frequency $1 \mathrm{~Hz}$
C+ve $\mathrm{x}$ direction with frequency $\pi \mathrm{Hz}$ and wavelength $\lambda=0.2 \mathrm{~m}$
D+ve $\mathrm{x}$ direction with frequency $1 \mathrm{~Hz}$ and wavelength $\lambda=0.2 \mathrm{~m}$

Correct answer

D. +ve $\mathrm{x}$ direction with frequency $1 \mathrm{~Hz}$ and wavelength $\lambda=0.2 \mathrm{~m}$

Step-by-step solution

Give,

y=0.25 \sin (10 \pi x-2 \pi t)

Comparing with

y=A \sin \left(\frac{2 \pi}{\lambda} \cdot x-2 \pi n t\right)

, we get, \begin{aligned} & \lambda=0.2 \mathrm{~m} \\ & n=1 \mathrm{~Hz} \end{aligned} -ve sign indicates, the

x

direction.

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