First slide

Dimensions of physical quantities

Question

If $E$ = energy, $G$ = gravitational constant, $I$ = impulse and $M$ = mass then dimensions of $\frac{G I M^{2}}{E^{2}}$

Moderate

A

Time
B

Mass
C

Length
D

Force

Solution

$[\frac{G I M^{2}}{E^{2}}] = \frac{[M^{- 1} L^{3} T^{- 2}] [{MLT}^{- 1}] [M^{2}]}{{[{ML}^{2} T^{- 2}]}^{2}} = [T]$

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