Dimensional Formula of Relative Density
The dimensional formula of Relative Density is given by,
[M0 L0 T0]
Where,
- M = Mass
- L = Length
- T = Time
Derivation
Relative Density = Density of substance × [Density of water]-1 . . . . . (1)
The density of substance = Density of water = Mass × [Volume]-1
∴ The dimensional formula of density = [M1 L3] . . . . (2)
On substituting equation (2) in equation (1) we get,
Relative Density = Density of substance × [Density of water]-1
Or, R.D = [M1 L3] × [M1 L3]-1 = [M0 L0 T0].
Therefore, the relative density of a substance is dimensionally represented as [M0 L0 T0].
⇒ Check Other Dimensional Formulas:
- Dimensions of Angular Speed
- Dimensions of Magnetic Flux
- Dimensions of Power of Lens
- Dimensions of Boltzmann Constant
- Dimensions of Gravitational Potential Energy
Specific Gravity
Frequently Asked Questions on Dimensions of Relative Velocity
What is relative velocity?
Relative velocity refers to an object’s velocity in relation to another object, which could be stationary, travelling at the same speed, or moving slowly, faster, or in the opposite direction.
Is relative velocity a vector quantity or a scalar quantity?
Relative velocity is a vector quantity.
How is relative velocity written mathematically?
The vector difference between the velocities of two bodies is the relative velocity. Body A’s velocity minus body B’s velocity equals relative velocity. vAB = vA – vB is the equation.
What is the dimensional formula for relative velocity?
[M0 L0 T0]
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