JEE MainPhysicsUnits and Dimensions
Consider the following four sets of physical quantities: Set A: Impulse, Momentum, Force Set B: Work, Torque, Power Set C: Pressure, Stress, Energy Density Set D: Surface Tension, Spring Constant, Coefficient of Viscosity Identify the set in which all three physical quantities have the exact same SI base units.
Options
- ASet A
- BSet B
- CSet C
- DSet D
Correct answer
C. Set C
Step-by-step solution
Let us find the SI base units for each quantity in the given sets. For Set A: Impulse = Force time = kg m s ⁻¹ Momentum = mass velocity = kg m s ⁻¹ Force = mass acceleration = kg m s ⁻² Force has different units. For Set B: Work = Force distance = kg m ^2 s ⁻² Torque = Force perpendicular distance = kg m ^2 s ⁻² Power = Work / time = kg m ^2 s ⁻³ Power has different units. For Set C: Pressure = Force / Area = kg m ⁻¹ s ⁻² Stress = Restoring Force / Area = kg m ⁻¹ s ⁻² Energy Density = Energy / Volume = ( kg m ^2 s