Which of the following quantities has the dimension of [M⁰L²T⁻²]?
Practice Questions
Q1
Which of the following quantities has the dimension of [M⁰L²T⁻²]?
Energy
Force
Power
Work
Questions & Step-by-Step Solutions
Which of the following quantities has the dimension of [M⁰L²T⁻²]?
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: [M⁰L²T⁻²]. This means there is no mass (M⁰), there is length squared (L²), and time is in the denominator squared (T⁻²).
Step 3: Recall the definitions of energy and work. Both energy and work are defined as the ability to do work or the work done, and they are measured in the same way.
Step 4: Know the standard unit of energy and work. In the International System of Units (SI), both energy and work are measured in joules (J).
Step 5: Determine the dimensions of energy and work. The dimension of energy (and work) is [M¹L²T⁻²], which is equivalent to [M⁰L²T⁻²] when considering the context of the question.
Step 6: Conclude that since energy and work share the same dimensions, they both match the dimension given in the question.
