Dimensional formula of gravitational field intensity

Gravitational field intensity
[L T−2]
Written in full: [M⁰ L¹ T⁻² A⁰ K⁰]

How to derive it

Gravitational field intensity = Force ÷ Mass

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

mass (M)
0
length (L)
1
time (T)
-2
current (A)
0
temperature (K)
0

SI unit

The SI unit of gravitational field intensity is N/kg.

Same dimensions as gravitational field intensity

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 potential[L2 T−2]