Dimensional formula of gravitational potential

Gravitational potential
[L2 T−2]
Written in full: [M⁰ L² T⁻² A⁰ K⁰]

How to derive it

Gravitational potential = Potential energy ÷ Mass

Put in the dimensions of each part: [ML²T⁻²] ÷ [M] = [L² T⁻²].

mass (M)
0
length (L)
2
time (T)
-2
current (A)
0
temperature (K)
0

SI unit

The SI unit of gravitational potential is J/kg.

Same dimensions as gravitational potential

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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More from Gravitation

QuantityFormula
Gravitational constant[M−1 L3 T−2]
Gravitational field intensity[L T−2]