Question

Dimensional formula of orbital velocity

Answer 1

Answer:

$\sqrt{gr }$

Answer 2

Answer:

The dimensional formula of orbital velocity is [M⁰L²T⁻²]^1/2

Explanation:

A dimensional equation is the one that is produced when a physical quantity is equated with its dimensions formula.

The formula of orbital velocity = √GM/R where G = Universal Gravitation Constant, M = Mass and R = Radius.

The dimensions of the universal gravitation constant, G = M-1 L3 T-2

The dimensions of Mass = M1 L0 T0 since it is expressed as Kg

The dimensions of Radius = M0 L1 T0 since it is expressed in m.

Therefore, the dimensions of Orbital velocity become,

√[M-1 L3 T-2] [M1 L0 T0] [M0 L-1 T0]

√[M0 L2 T-2]

[M0 L2 T-2]^1/2

Thus, the Dimensional formula of orbital velocity is [M⁰L²T⁻²]^1/2.

#SPJ2