If a physical quantity has dimensions [M^0 L^1 T^-1], what is it? (2020)

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Question: If a physical quantity has dimensions [M^0 L^1 T^-1], what is it? (2020)

Options:

Correct Answer: Velocity

Exam Year: 2020

Solution:

The dimensions [M^0 L^1 T^-1] correspond to velocity, which is defined as distance traveled per unit time.

If a physical quantity has dimensions [M^0 L^1 T^-1], what is it? (2020)

If a physical quantity has dimensions [M^0 L^1 T^-1], what is it? (2020)

Step 1: Understand what dimensions mean. Dimensions are a way to describe physical quantities using basic units: M for mass, L for length, and T for time.
Step 2: Look at the given dimensions: [M^0 L^1 T^-1]. This means there is no mass (M^0), there is one length (L^1), and the time is in the denominator (T^-1).
Step 3: Since M^0 means mass is not involved, we focus on L^1 and T^-1. L^1 indicates a length measurement, and T^-1 indicates that we are dividing by time.
Step 4: Recall the definition of velocity: it is the distance (length) traveled per unit of time.
Step 5: Conclude that the dimensions [M^0 L^1 T^-1] represent velocity.

Dimensional Analysis – Understanding the dimensions of physical quantities and how they relate to each other.
Velocity – Velocity is defined as the rate of change of displacement with respect to time, represented by the dimensions [M^0 L^1 T^-1].