The equation of wave is given by Y-Asin - omega -frac - x - - -k- - where omega is the angular velocity and is the linear velocity- The dimensions of k is-LT-T- T - -1 - T - -2 -

Question

The equation of wave is given by Y-Asin - omega -frac - x - - -k- -  where omega  is the angular velocity and is the linear velocity- The dimensions of k is-LT-T- T - -1 - T - -2 -

Toppr Admin · Accepted Answer

Xv have the same dimension as of k-x2234-Dimension formula of k-L-LT-x2212-1-T-

The equation of wave is given by $Y = A sin ω (\frac{x}{v} - k)$ where $ω$ is the angular velocity and v is the linear velocity. The dimensions of k is:
$[L T]$
$[T]$
$[T^{- 1}]$
$[T^{- 2}]$

$\frac{x}{v}$ have the same dimension as of $k$ .
$∴$ Dimension formula of $k = \frac{[L]}{[L T^{- 1}]} = [T]$

The equation of wave is given by Y=Asinω(xv−k) where ω is the angular velocity and v is the linear velocity. The dimensions of k is:[LT][T][T−1][T−2]

xv have the same dimension as of k.∴Dimension formula of k=[L][LT−1]=[T]

The equation of wave is given by $Y = A sin ω (\frac{x}{v} - k)$ where $ω$ is the angular velocity and v is the linear velocity. The dimensions of k is:
$[L T]$
$[T]$
$[T^{- 1}]$
$[T^{- 2}]$

$\frac{x}{v}$ have the same dimension as of $k$ .
$∴$ Dimension formula of $k = \frac{[L]}{[L T^{- 1}]} = [T]$