Which of the following statements is true

g is greater at the poles than at the equator

g is same at all places on the surface of the earth

g is less at the earth’s surface than at a height above it or a depth below it

g has its maximum value at the equator

Law of gravitation gives the gravitational force between

any two bodies having some mass

the earth and a point mass only

The dimensional formula of Acceleration Due To Gravity is given by,

[M⁰ L¹ T^-2]

Where,

Since, Force = Mass × Acceleration due to gravity

∴ Acceleration due to gravity (g) = Force × [Mass]^-1 . . . . . (1)

⇒ Dimensional formula of the mass = [M¹ L⁰ T⁰] . . . . . (2)

Also, the dimensions of Force = [M¹ L¹ T^-2] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Acceleration due to gravity = Force × [Mass]^-1

Or, g = [M¹ L¹ T^-2] × [M¹ L⁰ T⁰]^-1 = [M⁰ L¹ T^-2].

Therefore, acceleration due to gravity is dimensionally represented as [M⁰ L¹ T^-2].

10,629

4,769

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