First slide

Dimensions of physical quantities

Question

In the equation $y = a \sin (ω t + k x),$ the dimensional formula of $ω$ is

Easy

A

$[M^{0} L^{0} T^{- 1}]$
B

$[M^{0} L T^{- 1}]$
C

$[M L^{0} T^{0}]$
D

$[M^{0} L^{- 1} T^{0}]$

Solution

Given, $y = a \sin (ω t + k x)$
Here, $ω t$ should be dimensionless
$∴ [ω] = [\frac{1}{t}]$
$[ω] = [M^{0} L^{0} T^{- 1}]$

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