Which of the following quantity represents the dimensions of momentum?
Show Hint
- Impulse
- Pressure
- Viscosity
- Power
The Correct Option is A
Solution and Explanation
Momentum has dimensions: \[ \text{Momentum} = mv \Rightarrow [M][LT^{-1}] = [MLT^{-1}] \] Now consider the dimensions of each option: - Impulse = Force × Time \ \[ [F \cdot t] = [MLT^{-2}] \cdot [T] = [MLT^{-1}] \] Matches momentum - Pressure = Force / Area \ \[ [MLT^{-2}] / [L^2] = [ML^{-1}T^{-2}] \] - Viscosity = Stress / Rate of strain \ \[ [ML^{-1}T^{-2}] / [T^{-1}] = [ML^{-1}T^{-1}] \] - Power = Work / Time \ \[ [ML^2T^{-2}] / [T] = [ML^2T^{-3}] \] Only Impulse has the same dimensions as Momentum.
Top Questions on momentum
- A body of mass 10 kg is moving with a speed of 5 m/s. What is the momentum of the body?
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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Knowing the initial position \( x_0 \) and initial momentum \( p_0 \) is enough to determine the position and momentum at any time \( t \) for a simple harmonic motion with a given angular frequency \( \omega \).
Reason (R): The amplitude and phase can be expressed in terms of \( x_0 \) and \( p_0 \).
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