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Vector Equation for Straight Line

In given equa...

Question

In given equation the units of x, α, β are m, /s, (m/s)^{-1} respectively. The units of y and gamma are

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y = x^{2} {cos}^{2} 2 π \frac{β γ}{α}

x, α, β

{m, s}^{- 1}

(m s^{- 1})^{- 1}

respectively. The units of

y

γ

y = x^{2} c o s^{2} 2 π \frac{β y^{'}}{α}

, if the units of

x, α, β

m, s^{- 1}

({m s}^{- 1})^{- 1}

respectively, then units of y and y' are

y = x^{2} {cos}^{2} 2 π \frac{β γ}{α}

x, α, β

{m, s}^{- 1}

(m s^{- 1})^{- 1}

respectively. The units of

y

γ

Q. A wave travelling along the x-axis is described by the equation

y (x, t) = 0.005 c o s (α x - β t)

. If the wavelength and time period of the wave are 0.08 m and 2.0 s respectively, then

α

β

in appropriate units are

Q. A wave travelling along the

x -

axis is described by the equation

y (x, t) = 0.008 cos (α x - β t)

. If the wavelength and time period of the wave are

0.16 m

6.0

respectively, then

α

β

in appropriate units are

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Vector Equation for Straight Line

Standard XII Mathematics