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What is the dimensional formula of Gravitational Field Intensity or Gravitational Strength?

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Gravitational Field Intensity or Gravitational Strength at a point is defined as the gravitational force exerted on a unit mass placed at that point.

Mathematically,

Gravitational Field Intensity or Gravitational Strength = GM /r2
where G = Gravitational Constant, M = mass and r = distance from the centre of the body to the point.

Dimensional Formula of Universal Constant of Gravitation = M-1L3T-2
Dimensional Formula of Mass = M1L0T0
Dimensional Formula of Radius = M0L1T0

Substituting in the above equation we get,
Dimensional Formula of Gravitational Field Intensity or Gravitational Strength = M0L1T-2
SI unit of Gravitational Field Intensity or Gravitational Strength is N kg-1 or it can also be written as m s-1

Note: Gravitational Field Intensity is often referred as Gravitational Field.

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