Which of the following quantities has the dimension of [M^0 L^0 T^-1]?
Practice Questions
Q1
Which of the following quantities has the dimension of [M^0 L^0 T^-1]?
Velocity
Acceleration
Frequency
Force
Questions & Step-by-Step Solutions
Which of the following quantities has the dimension of [M^0 L^0 T^-1]?
Correct Answer: Frequency
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: Identify the dimensions given in the question: [M^0 L^0 T^-1]. This means there is no mass (M^0), no length (L^0), and a negative exponent for time (T^-1).
Step 3: Recognize that a negative exponent for time (T^-1) indicates a quantity that is related to time, specifically something that occurs per unit of time.
Step 4: Think about what physical quantity fits this description. Frequency is defined as the number of cycles (events) that occur in one second, which is a measure of how often something happens over time.
Step 5: Conclude that frequency has the dimension of [M^0 L^0 T^-1] because it does not depend on mass or length, and it is inversely related to time.
