Which of the following quantities has the dimension of [M^0 L^1 T^-1]?
Practice Questions
Q1
Which of the following quantities has the dimension of [M^0 L^1 T^-1]?
Velocity
Acceleration
Force
Pressure
Questions & Step-by-Step Solutions
Which of the following quantities has the dimension of [M^0 L^1 T^-1]?
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 notation [M^0 L^1 T^-1]. This means: 0 units of mass (M), 1 unit of length (L), and -1 unit of time (T).
Step 3: Recognize that 'M^0' means mass is not involved in this quantity.
Step 4: Identify that 'L^1' indicates that the quantity involves length.
Step 5: Note that 'T^-1' means the quantity is related to time, specifically it is inversely related to time.
Step 6: Recall the definition of velocity: it is the distance (length) traveled per unit of time.
Step 7: Conclude that since velocity is defined as distance (L) divided by time (T), its dimensions are [M^0 L^1 T^-1].
