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A wave travelling along the x-axis is described by the equatio

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Solving time: 3 mins

A wave travelling along the $x$ -axis is described by the equation $y (x, t) = 0.005 cos (αx - βt)$ . If the wavelength and the time period of the wave are $0.08 m$ and $2.0 s$ respectively, then $α$ and $β$ in appropriate units are

α = 25.00 π, β = π

α = \frac{0.08}{π}, β = \frac{2.0}{π}

α = \frac{0.04}{π}, β = \frac{1.0}{π}

α = 12.50 π, β = \frac{π}{2.0}

Views: 5,433 students

Updated on: Apr 18, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2008

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Chloe Discussed

A wave travelling along the

x

-axis is described by the equation

y (x, t) = 0.005 cos (αx - βt)

. If the wavelength and the time period of the wave are

0.08 m

and

2.0 s

respectively, then

α

and

β

in appropriate units are

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

As general equation is

y (x, t) = a cos (k x - ω t)

where,

k = \frac{2 π}{λ}

and

ω = \frac{2 π}{T}

∴ y (x, t) = 0.005 cos (αx - βt)

\Rightarrow \frac{2 π}{λ} = α

and

\frac{2 π}{T} = β

So,

α = \frac{2 π}{0.08} = 25 π m^{- 1}

and

β = \frac{2 π}{2} = π s^{- 1}

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Question Text	A wave travelling along the $x$ -axis is described by the equation $y (x, t) = 0.005 cos (αx - βt)$ . If the wavelength and the time period of the wave are $0.08 m$ and $2.0 s$ respectively, then $α$ and $β$ in appropriate units are
Updated On	Apr 18, 2023
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	363
Avg. Video Duration	5 min

A wave travelling along the $x$ -axis is described by the equation $y (x, t) = 0.005 cos (αx - βt)$ . If the wavelength and the time period of the wave are $0.08 m$ and $2.0 s$ respectively, then $α$ and $β$ in appropriate units are

Text solutionVerified

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A wave travelling along the x-axis is described by the equation y(x,t)=0.005cos(αx−βt). If the wavelength and the time period of the wave are 0.08 m and 2.0 s respectively, then α and β in appropriate units are

Text solutionVerified

Filo tutor solutions (4)

Questions from JEE Mains 2008 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

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A wave travelling along the $x$ -axis is described by the equation $y (x, t) = 0.005 cos (αx - βt)$ . If the wavelength and the time period of the wave are $0.08 m$ and $2.0 s$ respectively, then $α$ and $β$ in appropriate units are