Question : Which of the following pairs of physical quantities have the same dimensions?
Option 1: Force and Power
Option 2: Work and Power
Option 3: Work and Energy
Option 4: Momentum and Power
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Correct Answer: Work and Energy
Solution : The correct option is Work and Energy .
If two physical quantities are expressed in terms of the same fundamental dimensions with the same powers, they are said to have the same dimensional formula. All forms of energy, including surface tension, kinetic energy, potential energy, and others, have the same dimension and unit as work. The dimensional formula for both energy and work is ML 2 T -2 . Both have the same unit as Newton metres in the SI system.
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