What is the dimension of velocity? (2022)

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Question: What is the dimension of velocity? (2022)

Options:

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

Exam Year: 2022

Solution:

Velocity is defined as displacement per unit time, hence its dimension is M^0L^1T^-1.

What is the dimension of velocity? (2022)

What is the dimension of velocity? (2022)

Step 1: Understand that velocity measures how fast something moves.
Step 2: Know that velocity is calculated by dividing displacement (how far something has moved) by time (how long it took).
Step 3: Identify the dimensions of displacement and time: 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: This can be expressed as L * T^-1, which means length per unit time.
Step 7: The dimension of velocity is therefore M^0L^1T^-1, where M^0 indicates that mass does not affect velocity.

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