Question: Which of the following quantities has the dimension [M^0 L^1 T^-1]?
Options:
Velocity
Acceleration
Force
Pressure
Correct Answer: Velocity
Solution:
Velocity has the dimension [M^0 L^1 T^-1], as it is defined as distance per unit time.
Which of the following quantities has the dimension [M^0 L^1 T^-1]?
Practice Questions
Q1
Which of the following quantities has the dimension [M^0 L^1 T^-1]?
Velocity
Acceleration
Force
Pressure
Questions & Step-by-Step Solutions
Which of the following quantities has the dimension [M^0 L^1 T^-1]?
Correct Answer: Velocity
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 dimension [M^0 L^1 T^-1]. This means there is no mass (M^0), there is one unit of length (L^1), and the time is in the denominator (T^-1).
Step 3: Recall the definition of velocity. Velocity is defined as the distance traveled (length) divided by the time taken.
Step 4: Write the formula for velocity: Velocity = Distance / Time.
Step 5: Analyze the dimensions of the formula. Distance has the dimension [L^1] and time has the dimension [T^1]. So, the dimension of velocity is [L^1] / [T^1] = [M^0 L^1 T^-1].
Step 6: Conclude that since the dimension of velocity matches [M^0 L^1 T^-1], the answer to the question is that velocity has this dimension.
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