EXPLANATION
Question: What are the dimensions of impulse-momentum?
- a) MLT⁻¹
- b) ML²T⁻¹
- c) ML²T⁻²
- d) ML⁻¹T⁻²
ANSWER: a) MLT⁻¹
EXPLANATION:
The dimensions of impulse-momentum can be determined using the principle of dimensional analysis, which involves analyzing the dimensions of the variables involved.
Impulse is defined as the change in momentum, and momentum is given by the product of mass and velocity. Therefore, we can express impulse-momentum as the product of mass and velocity:
Impulse-Momentum = mass × velocity
The dimensions of mass (M) are [M], and the dimensions of velocity (V) are [LT⁻¹] (length divided by time).
Multiplying the dimensions of mass and velocity, we have:
[M] × [LT⁻¹] = [MLT⁻¹]
Therefore, the dimensions of impulse-momentum are MLT⁻¹.
Among the given options, the correct answer is:
a) MLT⁻¹
