COMEDK2021PhysicsUnits and Dimensions
Which of the following quantity represents the dimensions of momentum?
Options
- AImpulse
- BPressure
- CViscosity
- DPower
Correct answer
A. Impulse
Step-by-step solution
The dimension of momentum p is given by p = mv , where m is mass ( M ) and v is velocity ( LT⁻¹ ). Thus, the dimensions of momentum are [MLT⁻¹] . Impulse J is defined as the change in momentum, J = p = F t . The dimensions of force F are [MLT⁻²] and time t is [T] . Therefore, the dimensions of impulse are [MLT⁻²] [T] = [MLT⁻¹] . Pressure is force per unit area, [MLT⁻²] / [L^2] = [ML⁻¹T⁻²] . Viscosity (coefficient of viscosity) has dimensions [ML⁻¹T⁻¹] . Power is work per unit time, [ML^2T⁻²] / [T] = [ML^2T⁻³] . Com