Which of the following quantities has the dimension of [M^0L^2T^-2]?
Practice Questions
Q1
Which of the following quantities has the dimension of [M^0L^2T^-2]?
Energy
Force
Power
Work
Questions & Step-by-Step Solutions
Which of the following quantities has the dimension of [M^0L^2T^-2]?
Correct Answer: Pressure
Step 1: Understand the notation [M^0L^2T^-2]. This means we are looking for a quantity that has no mass (M^0), has a length squared (L^2), and has time squared in the denominator (T^-2).
Step 2: Recall the dimensions of common physical quantities. Energy and work both have dimensions of [M^1L^2T^-2]. This means they have mass, length squared, and time squared in the denominator.
Step 3: Power is another quantity to consider. Its dimensions are [M^1L^2T^-3], which means it has mass, length squared, and time cubed in the denominator.
Step 4: Compare the dimensions of energy, work, and power with [M^0L^2T^-2]. Since energy and work have mass (M^1), they do not match. Power also does not match because of the time dimension (T^-3).
Step 5: Conclude that none of the quantities listed (energy, work, or power) have the dimensions of [M^0L^2T^-2].
