1Which of these has the same dimensions as binding energy?
Binding energy and work both have the dimensions [M L² T⁻²].
Modern physicsClass 12, Nuclei
Dimensional formula of Binding energy
[M L2 T-2]
Mass defect times c². It has the dimension of energy.
How to get the dimensional formula of binding energy
- Start from the definition: binding energy = mass × speed of light2.
- speed of light = length / time, so speed of light is [L] / [T] = [L T-1].
- Put in the dimension of each part: [M] × [L T-1]2.
- Add the powers of each base quantity: [M L2 T-2].
Quantities with the dimensions [M L² T⁻²]
- Work
- Energy
- Kinetic energy
- Potential energy
- Torque
- Torsional constant
- Gravitational potential energy
- Strain energy
- Heat
- Internal energy
- Electric potential energy
- Work function
- Photon energy
Equal dimensions do not make them the same quantity. Compare binding energy with the others in the full grid.
Three questions on binding energy
2What is the SI unit of binding energy?
The SI unit of binding energy is the joule (J).
3Which one has different dimensions from the others?
Photon momentum is [M L T⁻¹]. The other three are all [M L² T⁻²].
Binding energy: quick answers
What is the dimensional formula of binding energy?
The dimensional formula of binding energy is [M L² T⁻²]. It comes from binding energy = mass × speed of light².
What is the SI unit of binding energy?
The SI unit of binding energy is the joule (J).
Which quantities have the same dimensions as binding energy?
Binding energy shares [M L² T⁻²] with work, energy, kinetic energy, potential energy, torque, torsional constant, gravitational potential energy, strain energy. Equal dimensions do not make them the same quantity.