In equation y = pq tan,(qt) , y represents position, p and q are unknown physical quantities and t i

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1.Units, Dimensions and Measurement

easy

In the equation $y = pq$ $tan\,(qt)$, $y$ represents position, $p$ and $q$ are unknown physical quantities and $t$ is time. Dimensional formula of $p$ is

A

${L^{1}}{T^{ - 1}}$

B

${L^1}{T^1}$

C

${L^{ - 1}}{T^1}$

D

${L^{ - 1}}{T^{ - 1}}$

Solution

Angle are dimensionless

$[\mathrm{qt}]=\left[\mathrm{M}^{0} \mathrm{L}^{0} \mathrm{T}^{0}\right] \Rightarrow[\mathrm{q}]=\left[\mathrm{T}^{-1}\right]$

$[\mathrm{pq}]=\left[\mathrm{L}^{1}\right] \Rightarrow[\mathrm{p}]=\left[\mathrm{L}^{1} \mathrm{T}^{1}\right]$

Standard 11

Physics

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