MCQ practice · SSC Physics Board questions · Chapter 2: Motion
What is the dimension of deceleration?
Think it through first, then pick an option.
- a L⁻²T
- b LT²
- c LT⁻²
- d T²L⁻¹
Answer and explanation
Correct answer: c LT⁻²
The dimension of deceleration is that of acceleration, [a] = LT⁻²: dividing the dimension of velocity LT⁻¹ by that of time T gives LT⁻².
Why the other options are wrong
- a L⁻²T: In L⁻²T the power of length is negative and that of time is positive, which is the wrong way round. Deceleration is length ÷ time².
- b LT²: LT² has a positive power of time. Deceleration is divided by the square of time, so T⁻² appears.
- d T²L⁻¹: In T²L⁻¹ length and time have swapped places. In deceleration length is on top and the square of time at the bottom.
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