Question

E=energy g= gravitational constant i= impulse m=mass,thedimention gim2/e2

Answer 1

The dimensional formula of given formula is [T].

Explanation:

In this case we need to find the dimensional formula of $x=\dfrac{GIm^2}{E^2}$

Here,

E is energy

G is the gravitational constant

m is mass

I is impulse

The dimensional formula of energy, $[E]=[ML^2T^{-2}]$

The dimensional formula of gravitational constant, $[G]=[M^{-1} L^3 T^{-2}]$

The dimensional formula of mass, [m]=[M]

The dimensional formula of impulse, $[J]=[MLT^{-1}]$

$x=\dfrac{GIm^2}{E^2}$

$x=\dfrac{(M^{-1}L^3T^{-2})\times MLT^{-1}\times [M]^2}{[ML^2T^{-2}]^2}$

$[x]=[T]$

So, the dimensional formula of given formula is [T].

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Dimensional formula

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Answer 2

Answer:

[T]

Explanation:

GIM^2/E^2

= [M^-1 L^3 T^-2] [M L T^-1] [M]^2 / [M^2 L^4 T^-4]

= [T]

HERE ,

G = Gravitational constant

I = Impulse of the force

M = Mass

E = Energy

HOPE IT WILL HELP YOU !

THANK YOU.