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 ML2T-2. Both have the same unit as Newton metres in the SI system.
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Question : Planck's Constant has the dimensions of:
Option 1: Energy
Option 2: Linear momentum
Option 3: Angular momentum
Option 4: Force
Question : Which of the following has the same unit?
Option 1: Work and power
Option 2: Torque and moment of inertia
Option 3: Work and torque
Option 4: Torque and angular momentum
Question : Which of the following is a scalar quantity?
Option 1: Velocity
Option 2: Force
Option 4: Electrostatic potential
Question : Which of the following is correctly matched?
Option 1: Electric force - kilowatt minute
Option 2: Electric potential - kilowatt seconds
Option 3: Electric energy - kilowatt-hour
Option 4: Electric power - kilohour
Question : According to the Ministry of Power, Government of India, which is the largest energy source of India? (as of March 2023)
Option 1: Hydro power
Option 2: Tidal energy
Option 3: Coal
Option 4: Solar energy
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