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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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