Question

write the dimensions of universal physical constant? please tell right answer

Answer 1

Answer:

Where,

M = Mass

L = Length

T = Time

Force = G × m1 × m2 × [r2]-1

Or, G = Force × r2 × [m1 × m2]-1 . . . . . (1)

Where, G = Universal Gravitational Constant

Now, the dimensions of,

Mass = [M1 L0 T0] . . . . (2)

Radius = [M0 L1 T0] . . . . (3)

Force = [M1 L1 T-2] . . . . . (4)

On substituting equation (2), (3) and (4) in equation (1) we get,

Universal Gravitational Constant = Force × r2 × [m1 × m2]-1

Or, G = [M1 L1 T-2] × [M0 L1 T0]2 × [M1 L0 T0]-1 × [M1 L0 T0]-1 = M-1 L3 T-2.

Therefore, the Universal Gravitational Constant is dimensionally represented as [M-1 L3 T-2].

Explanation:

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