Question

What are the dimensions of the quantity 1 E 1 being the length and
the
acceleration due to gravity.​

Answer 1

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

[M0 L1 T-2]

Where,

M = Mass

L = Length

T = Time

Derivation

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].

⇒ Check Other Dimensional Formulas: