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1.Units, Dimensions and Measurement
hard
If velocity$(V)$, force$(F)$ and time$(T)$ are chosen as fundamental quantities then dimensions of energy are
A
$\left[ {{V^{ - 1}}{F^1}{T^1}} \right]$
B
$\left[ {{V^{1}}{F^1}{T^1}} \right]$
C
$\left[ {{V^1}{F^2}{T^{ - 1}}} \right]$
D
$\left[ {{V^2}{F^{ - 1}}T} \right]$
Solution
$\mathrm{E} =\mathrm{F.L}$
$=\mathrm{FT} \frac{\mathrm{L}}{\mathrm{T}}$
$=\mathrm{F} \mathrm{T} \mathrm{V}$
$=\left[\mathrm{V}^{1} \mathrm{F}^{1} \mathrm{T}^{1}\right]$
Standard 11
Physics