If a scientist is comparing the energy output of two light bulbs and records their values in joules, which dimensional formula should be used to represent energy in the SI system?
\([M L^2 T^{-2}]\)
Energy is defined as the capacity to do work, and work is force multiplied by displacement.
Force has the dimensional formula \([M L T^{-2}]\), so work (and hence energy) is \([M L T^{-2}] \times [L] = [M L^2 T^{-2}]\).
This matches the joule, the SI unit of energy, confirming the dimensional formula is unique among the given options.
Hence, the correct dimensional formula for energy is \([M L^2 T^{-2}]\).
Similar Questions
- What is measured in 'joules'?
- How will you write 1.85 hours in hours, minutes and seconds?
- How will you write 9.08 hours in hours, minutes and seconds?
- The rate of doing work is called power. The unit of power is:
- What is the unit of measurement used for measuring the energy requirements of the human body?
- The work done by a force acting on an object is equal to the amount of force multiplied by the distance travelled in the direction of the force. Which of the following is NOT a unit of work?
- The unit of 'magnetic flux' is:
- How many kilometres are there in 1 mm?
- The unit of Force is:
- A ‘light year’ is a unit that is used to measure:
Important Questions from Units and Dimensional Formula
Parsec is a unit of ______.
'Torr' is a unit of _______.
Electron-volt is a unit of ______.
Which of the following is the SI unit for measuring the amount of a substance?
Weber per second is equivalent to ______.
