The dimensional formula for velocity is: (2022)

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Question: The dimensional formula for velocity is: (2022)

Options:

Correct Answer: [M^0 L^1 T^-1]

Exam Year: 2022

Solution:

Velocity is defined as displacement per unit time, hence its dimensional formula is [M^0 L^1 T^-1].

The dimensional formula for velocity is: (2022)

The dimensional formula for velocity is: (2022)

Step 1: Understand what velocity means. Velocity is how fast something is moving in a certain direction.
Step 2: Know that velocity is calculated by dividing displacement (how far something has moved) by time (how long it took to move that distance).
Step 3: Identify the dimensions involved: Displacement has the dimension of length (L), and time has the dimension of time (T).
Step 4: Write the formula for velocity: Velocity = Displacement / Time.
Step 5: Substitute the dimensions into the formula: Velocity = [L] / [T].
Step 6: Simplify the dimensions: This gives us [L^1 T^-1].
Step 7: Include mass dimension: Since velocity does not depend on mass, we represent it as [M^0].
Step 8: Combine the dimensions: The final dimensional formula for velocity is [M^0 L^1 T^-1].

Dimensional Analysis – Understanding how to derive the dimensional formula for physical quantities based on their definitions.
Velocity Definition – Velocity is defined as the rate of change of displacement with respect to time.