If velocity (V) , force (F) and time (T) are chosen as fundamental quantities then dimensions of ene

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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

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