| S. No. | Physical quantity | Relation with other physical quantities | Dimensions | Dimensional formula | SI unit |
| 1. | Area | ${\text{Length}} \times {\text{Breadth}}$
| $[L{\text{]}} \times [L]$
| $\left[ {{M^0}{L^2}{T^0}} \right]$
| $m^2$ |
| 2. | Volume | ${\text{Length}} \times {\text{Breadth}} \times {\text{Height}}$
| $\left[ L \right] \times \left[ L \right] \times \left[ L \right]$
| $\left[ {{M^0}{L^3}{T^0}} \right]$
| $m^3$ |
| 3. | Density | $\frac{{{\text{Mass}}}}{{{\text{Volume}}}}$
| $\frac{{\left[ M \right]}}{{\left[ {{L^3}} \right]}}$
| $\left[ {{M^1}{L^{ - 3}}{T^0}} \right]$
| $kg\ m^{-3}$ |
| 4. | Frequency | $\frac{1}{{{\text{Time period}}}}$
| $\frac{1}{{\left[ T \right]}}$
| $\left[ {{M^0}{L^0}{T^{ - 1}}} \right]$
| $s^{-1}$ or $Hz$ (Hertz) |
| 5. | Speed / velocity | $\frac{{{\text{Distance/Displacement}}}}{{{\text{Time}}}}$
| $\frac{{\left[ L \right]}}{{\left[ T \right]}}$
| $\left[ {{M^0}{L^1}{T^{ - 1}}} \right]$
| $m\ s^{-1}$ |
| 6. | Acceleration | $\frac{{{\text{Velocity}}}}{{{\text{Time}}}}$
| $\frac{{\left[ {L{T^{ - 1}}} \right]}}{{\left[ T \right]}}$
| $\left[ {{M^0}{L^1}{T^{ - 2}}} \right]$
| $m\ s^{-2}$
|
| 7. | Force | ${\text{Mass}} \times {\text{Acceleration}}$
| $\left[ M \right]\left[ {L{T^{ - 2}}} \right]$
| $\left[ {{M^1}{L^1}{T^{ - 2}}} \right]$
| $N$ (newton) |
| 8. | Impulse | ${\text{Force}} \times {\text{Time}}$
| $\left[ {{M^1}{L^1}{T^{ - 2}}} \right]\left[ T \right]$
| $\left[ {{M^1}{L^1}{T^{ - 1}}} \right]$
| $N\ s$ |
| 9. | Work | ${\text{Force}} \times {\text{Distance}}$
| $\left[ {{M^1}{L^1}{T^{ - 2}}} \right]\left[ L \right]$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $J$ (joule) |
| 10. | Energy | ${\text{Work}}$ | $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $J$ |
| 11. | Power | $\frac{{{\text{Work}}}}{{{\text{Time}}}}$
| $\frac{{\left[ {{M^1}{L^2}{T^{ - 2}}} \right]}}{{\left[ T \right]}}$
| ${\left[ {{M^1}{L^2}{T^{ - 3}}} \right]}$
| $W$ (watt) |
| 12. | Momentum | ${\text{Mass}} \times {\text{velocity}}$
| $\left[ M \right]\left[ {L{T^{ - 1}}} \right]$
| $\left[ {ML{T^{ - 1}}} \right]$
| $kg\ m/s$ |
| 13. | Pressure, stress | $\frac{{{\text{Force}}}}{{{\text{Area}}}}$
| $\frac{{\left[ {{M^1}{L^1}{T^{ - 2}}} \right]}}{{\left[ {{L^2}} \right]}}$
| $\left[ {{M^1}{L^{ - 1}}{T^{ - 2}}} \right]$
| $N\ m^{-2}$ or $Pa$ (pascal) |
| 14. | Strain | $\frac{{{\text{Change in dimension}}}}{{{\text{Original dimension}}}}$
| $\frac{{\left[ L \right]}}{{\left[ L \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$
| No units |
| 15. | Modulus of elasticity | $\frac{{{\text{Stress}}}}{{{\text{Strain}}}}$
| $\frac{{\left[ {{M^1}{L^{ - 1}}{T^{ - 2}}} \right]}}{{\left[ {{M^0}{L^0}{T^0}} \right]}}$
| $\left[ {{M^1}{L^{ - 1}}{T^{ - 2}}} \right]$
| $N\ m^{-2}$ |
| 16. | Surface tension | $\frac{{{\text{Force}}}}{{{\text{Length}}}}$
| $\frac{{\left[ {{M^1}{L^1}{T^{ - 2}}} \right]}}{{\left[ L \right]}}$
| $\left[ {{M^1}{L^0}{T^{ - 2}}} \right]$
| $N\ m^{-1}$ |
| 17. | Specific gravity / relative density | $\frac{{{\text{Density of body}}}}{{{\text{Density of water at 4}}^\circ C}}$
| $\frac{{\left[ {{M^1}{L^{ - 3}}} \right]}}{{\left[ {{M^1}{L^{ - 3}}} \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$
| No units |
| 18. | Velocity gradient | $\frac{{{\text{Velocity}}}}{{{\text{Distance}}}}$
| $\frac{{\left[ {{L^1}{T^{ - 1}}} \right]}}{{\left[ {{L^1}} \right]}}$
| $\left[ {{M^0}{L^0}{T^{ - 1}}} \right]$
| $s^{-1}$ |
| 19. | Pressure gradient | $\frac{{{\text{Pressure}}}}{{{\text{Distance}}}}$
| $\frac{{\left[ {{M^1}{L^{ - 1}}{T^{ - 2}}} \right]}}{{\left[ {{L^1}} \right]}}$ | $\left[ {{M^1}{L^{ - 2}}{T^{ - 2}}} \right]$
| $N\ m^{-3}$ |
| 20. | Pressure energy | ${\text{Pressure}} \times {\text{Volume}}$
| $\left[ {{M^1}{L^{ - 1}}{T^{ - 2}}} \right]\left[ {{L^3}} \right]$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $J$ |
| 21. | Coefficient of viscosity | $\frac{{{\text{Force}}}}{{{\text{Area}} \times {\text{velocity gradient}}}}$
| $\frac{{\left[ {{M^1}{L^1}{T^{ - 2}}} \right]}}{{\left[ {{L^2}} \right]\left[ {{T^{ - 1}}} \right]}}$
| $\left[ {{M^1}{L^{ - 1}}{T^{ - 1}}} \right]$
| $Pa\ s$ |
| 22. | Angle, Angular displacement | $\frac{{{\text{Arc}}}}{{{\text{Radius}}}}$
| $\frac{{\left[ L \right]}}{{\left[ L \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$
| No units |
| 23. | Trigonometric ratio ($\sin \theta$, $\cos \theta, \tan \theta etc.) | $\frac{{{\text{Length}}}}{{{\text{Length}}}}$
| $\frac{{\left[ L \right]}}{{\left[ L \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$ | No units |
| 24. | Angular velocity | $\frac{{{\text{Angle}}}}{{{\text{Time}}}}$
| $\frac{{\left[ {{M^0}{L^0}{T^0}} \right]}}{{\left[ T \right]}}$
| ${\left[ {{M^0}{L^0}{T^{ - 1}}} \right]}$
| $rad\ s^{-1}$ |
| 25. | Angular acceleration | $\frac{{{\text{Angular velocity}}}}{{{\text{Time}}}}$
| $\frac{{\left[ {{T^{ - 1}}} \right]}}{{\left[ T \right]}}$
| ${\left[ {{M^0}{L^0}{T^{ - 2}}} \right]}$
| $rad\ s^{-2}$ |
| 26. | Radius of gyration | Distance | ${\left[ L \right]}$
| $\left[ {{M^0}{L^1}{T^0}} \right]$
| $m$ |
| 27. | Moment of inertia | ${\text{Mass}} \times {\left( {{\text{Radius of gyration}}} \right)^2}$
| $\left[ M \right]\left[ {{L^2}} \right]$
| $\left[ {{M^1}{L^2}{T^0}} \right]$
| $kg\ m^2$ |
| 28. | Angular momentum | ${\text{Moment of inertia}} \times {\text{Angular velocity}}$
| $\left[ {M{L^2}} \right]\left[ {{T^{ - 1}}} \right]$
| $\left[ {{M^1}{L^2}{T^{ - 1}}} \right]$
| $kg\ m^2\ s^{-1}$ |
| 29. | Moment of force, moment of couple | ${\text{Force}} \times {\text{Displacement}}$
| $\left[ {{M^1}{L^1}{T^{ - 2}}} \right]\left[ {{L^1}} \right]$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $N\ m$ |
| 30. | Torque | ${\text{Force}} \times {\text{Displacement}}$ | $\left[ {{M^1}{L^1}{T^{ - 2}}} \right]\left[ L \right]$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $N\ m$ |
| 31. | Angular frequency | $2\pi \times {\text{frequency}}$
| $\left[ {{T^{ - 1}}} \right]$
| $\left[ {{M^0}{L^0}{T^{ - 1}}} \right]$
| $rad\ s^{-1}$ |
| 32. | Wavelength | Distance | $\left[ L \right]$
| $\left[ {{M^0}{L^1}{T^0}} \right]$
| $m$ |
| 33. | Hubble constant | $\frac{{{\text{Recession speed}}}}{{{\text{Distance}}}}$
| $\frac{{\left[ {L{T^{ - 1}}} \right]}}{{\left[ L \right]}}$
| $\left[ {{M^0}{L^0}{T^{ - 1}}} \right]$
| $s^{-1}$ |
| 34. | Intensity of wave | $\frac{{{\text{Energy}}}}{{{\text{Time}} \times {\text{area}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ T \right]\left[ {{L^2}} \right]}}$
| ${\left[ {M{L^0}{T^{ - 3}}} \right]}$
| $W\ m^{-2}$ |
| 35. | Radiation pressure | $\frac{{{\text{Intensity of wave}}}}{{{\text{Speed of light}}}}$
| $\frac{{\left[ {M{L^0}{T^{ - 3}}} \right]}}{{\left[ {L{T^{ - 1}}} \right]}}$
| ${\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]}$
| $N\ m^{-2}$ |
| 36. | Energy density | $\frac{{{\text{Energy}}}}{{{\text{Volume}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ {{L^3}} \right]}}$
| ${\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]}$
| $J\ m^{-3}$ |
| 37. | Critical velocity | ${\text{Reynold's number}} \times \frac{{{\text{Coefficient of viscosity}}}}{{{\text{Density}} \times {\text{Radius}}}}$
| $\frac{{\left[ {{M^0}{L^0}{T^0}} \right]\left[ {{M^1}{L^{ - 1}}{T^{ - 1}}} \right]}}{{\left[ {{M^1}{L^{ - 3}}} \right]\left[ L \right]}}$
| ${\left[ {{M^0}{L^1}{T^{ - 1}}} \right]}$
| $m\ s^{-1}$ |
| 38. | Escape velocity | ${\left( {{\text{2}} \times {\text{Acceleration due to gravity}} \times {\text{Earth's radius}}} \right)^{\frac{1}{2}}}$
| ${\left[ {L{T^{ - 2}}} \right]^{\frac{1}{2}}} \times {\left[ L \right]^{\frac{1}{2}}}$
| $\left[ {{M^0}{L^1}{T^{ - 1}}} \right]$
| $m\ s^{-1}$ |
| 39. | Heat energy, internal energy | Energy | $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $J$ |
| 40. | Kinetic energy | $\frac{1}{2} \times {\text{Mass}} \times {\left( {{\text{velocity}}} \right)^2}$
| $\left[ M \right]{\left[ {L{T^{ - 1}}} \right]^2}$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $J$ |
| 41. | Potential energy | ${\text{Mass}} \times {\text{Acceleration due to gravity}} \times {\text{Height}}$
| $\left[ M \right]\left[ {L{T^{ - 2}}} \right]\left[ L \right]$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $J$ |
| 42. | Rotational kinetic energy | $\frac{1}{2} \times {\text{Moment of inertia}} \times {\left( {{\text{Angular velocity}}} \right)^2}$
| $\left[ {M{L^2}} \right]{\left[ {{T^{ - 1}}} \right]^2}$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]$
| $J$ |
| 43. | Efficiency | $\frac{{{\text{Output work or energy}}}}{{{\text{Input work or energy}}}}$
| $\frac{{\left[ {{M^1}{L^2}{T^{ - 2}}} \right]}}{{\left[ {{M^1}{L^2}{T^{ - 2}}} \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$
| No units |
| 44. | Angular impulse | ${\text{Torque}} \times {\text{Time}}$
| $\left[ {{M^1}{L^2}{T^{ - 2}}} \right]\left[ T \right]$
| $\left[ {{M^1}{L^2}{T^{ - 1}}} \right]$
| $kg\ m^2\ s^{-1}$ |
| 45. | Gravitational constant | $\frac{{{\text{Force}} \times {{\left( {{\text{Distance}}} \right)}^2}}}{{{\text{Mass}} \times {\text{Mass}}}}$
| $\frac{{\left[ {ML{T^{ - 2}}} \right]\left[ {{L^2}} \right]}}{{\left[ M \right]\left[ M \right]}}$
| ${\left[ {{M^{ - 1}}{L^3}{T^{ - 2}}} \right]}$
| $N\ m^2\ kg^{-2}$ |
| 46. | Planck's constant | $\frac{{{\text{Energy}}}}{{{\text{Frequency}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ {{T^{ - 1}}} \right]}}$
| ${\left[ {M{L^2}{T^{ - 1}}} \right]}$
| $J\ s$ |
| 47. | Heat capacity, entropy | $\frac{{{\text{Heat energy}}}}{{{\text{Temperatre}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ K \right]}}$
| ${\left[ {M{L^2}{T^{ - 2}}{K^{ - 1}}} \right]}$
| $J\ K^{-1}$ |
| 48. | Specific heat capacity | $\frac{{{\text{Heat energy}}}}{{{\text{Mass}} \times {\text{Temperatre}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ M \right]\left[ K \right]}}$
| ${\left[ {{M^0}{L^2}{T^{ - 2}}{K^{ - 1}}} \right]}$
| $J\ kg^{-1}\ K^{-1}$ |
| 49. | Latent heat | $\frac{{{\text{Heat energy}}}}{{{\text{Mass}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ M \right]}}$
| ${\left[ {{M^0}{L^2}{T^{ - 2}}} \right]}$
| $J\ kg$ |
| 50. | Thermal expansion coefficient or thermal expansivity | $\frac{{{\text{Change in dimension}}}}{{{\text{Original dimension}}}} \times {\text{Temperature}}$
| $\frac{{\left[ L \right]}}{{\left[ L \right]\left[ K \right]}}$
| ${\left[ {{M^0}{L^0}{T^0}{K^{ - 1}}} \right]}$
| $K^{-1}$ |
| 51. | Coefficient of thermal conductivity | $\frac{{{\text{Heat energy}} \times {\text{Thickness}}}}{{{\text{Area}} \times {\text{Temperature}} \times {\text{Time}}}}$
| $\frac{{\left[ {{M^1}{L^2}{T^{ - 2}}} \right]\left[ {{L^1}} \right]}}{{\left[ {{L^2}} \right]\left[ K \right]\left[ T \right]}}$
| ${\left[ {ML{T^{ - 3}}{K^{ - 1}}} \right]}$
| $W\ m^{-1}\ K^{-1}$ |
| 52. | Bulk modulus | $\frac{{{\text{Volume}} \times {\text{Change in pressure}}}}{{{\text{Change in volume}}}}$
| $\frac{{\left[ {{L^3}} \right]\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]}}{{\left[ {{L^3}} \right]}}$
| ${\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]}$
| $N\ m^{-2}$ |
| 53. | Centripetal acceleration | $\frac{{{{\left( {{\text{Velocity}}} \right)}^2}}}{{{\text{Radius}}}}$
| $\frac{{{{\left[ {L{T^{ - 1}}} \right]}^2}}}{{\left[ L \right]}}$
| $\left[ {{M^0}L{T^{ - 2}}} \right]$
| $m\ s^{-2}$ |
| 54. | Stefan's constant | $\frac{{{\text{Energy}}}}{{\left( {{\text{Area}}} \right) \times \left( {{\text{time}}} \right) \times {{\left( {{\text{temperature}}} \right)}^4}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ {{L^2}} \right]\left[ T \right]\left[ {{K^4}} \right]}}$
| $\left[ {M{L^0}{T^{ - 3}}{K^{ - 4}}} \right]$
| $W\ m^{-2}\ K^{-4}$ |
| 55. | Wien's constant | ${\text{Wavelength}} \times {\text{Temperature}}$
| $\left[ L \right]\left[ K \right]$
| $\left[ {{M^0}L{T^0}K} \right]$
| $m\ K$ |
| 56. | Universal gas constant | $\frac{{{\text{Pressure}} \times {\text{Volume}}}}{{{\text{Mole}} \times {\text{Temperature}}}}$
| $\frac{{\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]\left[ {{L^3}} \right]}}{{\left[ {mol} \right]\left[ K \right]}}$
| $\left[ {M{L^2}{T^{ - 2}}{K^{ - 1}}mo{l^{ - 1}}} \right]$
| $J\ K^{-1}\ mol^{-1}$ |
| 57. | Boltzmann constant | $\frac{{{\text{Universal gas constant}}}}{{{\text{Avogadro's number}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}{K^{ - 1}}mo{l^{ - 1}}} \right]}}{{\left[ {mo{l^{ - 1}}} \right]}}$
| $\left[ {M{L^2}{T^{ - 2}}{K^{ - 1}}} \right]$
| $J\ K^{-1}$ |
| 58. | Charge | ${\text{Current}} \times {\text{Time}}$
| $\left[ A \right]\left[ T \right]$
| $\left[ {{M^0}{L^0}TA} \right]$
| $C$ (coulomb) |
| 59. | Current density | $\frac{{{\text{Current}}}}{{{\text{Area}}}}$
| $\frac{{\left[ A \right]}}{{\left[ {{L^2}} \right]}}$
| $\left[ {{M^0}{L^{ - 2}}{T^0}A} \right]$
| $A\ m^{-2}$ |
| 60. | Electric potential, electromotive force, voltage | $\frac{{{\text{Work}}}}{{{\text{charge}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ {AT} \right]}}$
| ${\left[ {M{L^2}{T^{ - 3}}{A^{ - 1}}} \right]}$
| $V$ (volt) |
| 61. | Resistance | $\frac{{{\text{Potential difference}}}}{{{\text{current}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 3}}{A^{ - 1}}} \right]}}{{\left[ A \right]}}$
| ${\left[ {M{L^2}{T^{ - 3}}{A^{ - 2}}} \right]}$
| $\Omega$ (ohm) |
| 62. | Capacitance | $\frac{{{\text{Charge}}}}{{{\text{Potential difference}}}}$
| $\frac{{\left[ {AT} \right]}}{{\left[ {M{L^2}{T^{ - 3}}{A^{ - 1}}} \right]}}$
| $\left[ {{M^{ - 1}}{L^{ - 2}}{T^4}{A^2}} \right]$
| $f$ (farad) |
| 63. | Electric field | $\frac{{{\text{Electrical force}}}}{{{\text{charge}}}}$
| $\frac{{\left[ {ML{T^{ - 2}}} \right]}}{{\left[ {AT} \right]}}$
| ${\left[ {ML{T^{ - 3}}{A^{ - 1}}} \right]}$
| $N\ C^{-1}$ |
| 64. | Electric flux | ${\text{Electric field}} \times {\text{Area}}$
| $\left[ {ML{T^{ - 3}}{A^{ - 1}}} \right]\left[ {{L^2}} \right]$
| $\left[ {M{L^3}{T^{ - 3}}{A^{ - 1}}} \right]$
| $N\ m^2\ C^{-1}$ |
| 65. | Electric dipole moment | ${\text{Charge}} \times {\text{Length}}$
| $\left[ {AT} \right]\left[ L \right]$
| $\left[ {{M^0}LTA} \right]$
| $C\ m$ |
| 66. | Electric field strength or electric intensity | $\frac{{{\text{Potential difference}}}}{{{\text{Distance}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 3}}{A^{ - 1}}} \right]}}{{\left[ L \right]}}$
| $\left[ {ML{T^{ - 3}}{A^{ - 1}}} \right]$
| $V\ m^{-1}$ |
| 67. | Magnetic field, magnetic flux density, magnetic induction | $\frac{{{\text{Force}}}}{{{\text{Current}} \times {\text{Length}}}}$
| $\frac{{\left[ {ML{T^{ - 2}}} \right]}}{{\left[ A \right]\left[ L \right]}}$
| $\left[ {M{L^0}{T^{ - 2}}{A^{ - 1}}} \right]$
| $V\ m^{-1}$ |
| 68. | Magnetic flux | ${\text{Magnetic field}} \times {\text{Area}}$
| $\left[ {M{L^0}{T^{ - 2}}{A^{ - 1}}} \right]\left[ {{L^2}} \right]$
| $\left[ {M{L^2}{T^{ - 2}}{A^{ - 1}}} \right]$
| $Wb$ (we |
| 69. | Inductance | $\frac{{{\text{Magnetic flux}}}}{{{\text{Current}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}{A^{ - 1}}} \right]}}{{\left[ A \right]}}$
| ${\left[ {M{L^2}{T^{ - 2}}{A^{ - 2}}} \right]}$
| $H$ (henry) |
| 70. | Magnetic dipole moment | ${\text{Current}} \times {\text{Area}}$
| $\left[ A \right]\left[ {{L^2}} \right]$
| $\left[ {{M^0}{L^2}{T^0}A} \right]$
| $A\ m^2$ |
| 71. | Intensity of magnetisation | $\frac{{{\text{Magnetic moment}}}}{{{\text{Volume}}}}$
| $\frac{{\left[ {{L^2}A} \right]}}{{\left[ {{L^3}} \right]}}$
| $\left[ {{M^0}{L^{ - 1}}{T^0}A} \right]$
| $A\ m^{-1}$ |
| 72. | Permittivity of free space | $\frac{{{\text{Charge}} \times {\text{Charge}}}}{{4\pi \times {\text{Electric force}} \times {{\left( {{\text{Distance}}} \right)}^2}}}$
| $\frac{{\left[ {AT} \right]\left[ {AT} \right]}}{{\left[ {ML{T^{ - 2}}} \right]{{\left[ L \right]}^2}}}$
| $\left[ {{M^{ - 1}}{L^{ - 3}}{T^4}{A^2}} \right]$
| $C^2\ N^{-1}\ m^{-2}$ |
| 73. | Permeability of free space | $\frac{{2\pi \times {\text{Force}} \times {\text{Distance}}}}{{{\text{Current}} \times {\text{Current}} \times {\text{Length}}}}$
| $\frac{{\left[ {ML{T^{ - 2}}} \right]\left[ L \right]}}{{\left[ A \right]\left[ A \right]\left[ L \right]}}$
| $\left[ {ML{T^{ - 2}}{A^{ - 2}}} \right]$
| $T\ m\ A^{-1}$ |
| 74. | Refractive index | $\frac{{{\text{Speed of light in vaccum}}}}{{{\text{Speed of light in medium}}}}$
| $\frac{{\left[ {L{T^{ - 1}}} \right]}}{{\left[ {L{T^{ - 1}}} \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$
| No units |
| 75. | Faraday constant | ${\text{Avogadro's number}} \times {\text{Elementary charge}}$
| $\left[ {mo{l^{ - 1}}} \right]\left[ {AT} \right]$
| $\left[ {{M^0}{L^0}TAmo{l^{ - 1}}} \right]$
| $C\,mo{l^{ - 1}}$
|
| 76. | Wave number | $\frac{{2\pi }}{{{\text{Wavelength}}}}$
| $\frac{1}{{\left[ L \right]}}$
| $\left[ {{M^0}{L^{ - 1}}{T^0}} \right]$
| $rad\ m^{-1}$ |
| 77. | Radiant flux, radiant power | $\frac{{{\text{Energy emitted}}}}{{{\text{Time}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ T \right]}}$
| ${\left[ {M{L^2}{T^{ - 3}}} \right]}$
| $watt$ |
| 78. | Luminosity of radiant flux or radiant intensity | Radiant power or $\frac{{{\text{Radiant flux of source}}}}{{{\text{Solid angle}}}}$ | $\frac{{\left[ {M{L^2}{T^{ - 3}}} \right]}}{{\left[ {{M^0}{L^0}{T^0}} \right]}}$
| ${\left[ {M{L^2}{T^{ - 3}}} \right]}$
| $watt\,s{r^{ - 1}}$
|
| 79. | Luminous power or luminous flux of source | $\frac{{{\text{Luminous energy emitted}}}}{{{\text{Time}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 2}}} \right]}}{{\left[ T \right]}}$
| ${\left[ {M{L^2}{T^{ - 3}}} \right]}$
| lumen |
| 80. | Relative luminosity | $\frac{{{\text{Luminous flux of a source of given wavelength}}}}{{{\text{Luminous flux of peak sensitivity wavelength }}(555{\text{ }}nm){\text{ source of same power}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 3}}} \right]}}{{\left[ {M{L^2}{T^{ - 3}}} \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$
| No units |
| 81. | Luminous efficiency | $\frac{{{\text{Total luminous flux}}}}{{{\text{Total radiant flux}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 3}}} \right]}}{{\left[ {M{L^2}{T^{ - 3}}} \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$
| No units |
| 82. | Illuminance or illumination | $\frac{{{\text{Luminous flux incident}}}}{{{\text{Area}}}}$
| $\frac{{\left[ {M{L^2}{T^{ - 3}}} \right]}}{{\left[ {{L^2}} \right]}}$
| ${\left[ {M{L^0}{T^{ - 3}}} \right]}$
| $lux$ |
| 83. | Decay constant | $\frac{{0.693}}{{{\text{Half life}}}}$
| $\frac{1}{{\left[ T \right]}}$
| $\left[ {{M^0}{L^0}{T^{ - 1}}} \right]$
| $s^{-1}$ |
| 84. | Resonant frequency | $\frac{1}{{2\pi \sqrt {{\text{Inductance}} \times {\text{Capacitance}}} }}$
| ${\left[ {M{L^2}{T^{ - 2}}{A^{ - 2}}} \right]^{ - \frac{1}{2}}} \times {\left[ {{M^{ - 1}}{L^{ - 2}}{T^4}{A^2}} \right]^{ - \frac{1}{2}}}$
| $\left[ {{M^0}{L^0}{T^{ - 1}}{A^0}} \right]$
| hertz |
| 85. | Quality factor or Q-factor of coil | $\frac{{{\text{Resonant frequency}} \times {\text{Inductance}}}}{{{\text{Resistance}}}}$
| $\frac{{\left[ {{T^{ - 1}}} \right]\left[ {M{L^2}{T^{ - 2}}{A^{ - 2}}} \right]}}{{\left[ {M{L^2}{T^{ - 3}}{A^{ - 2}}} \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$
| No units |
| 86. | Power of lens | ${\left( {{\text{Focal length}}} \right)^{ - 1}}$
| ${\left[ L \right]^{ - 1}}$
| $\left[ {{M^0}{L^{ - 1}}{T^0}} \right]$
| $D$ (dioptre) |
| 87. | Magnification | $\frac{{{\text{Size of image}}}}{{{\text{Size of object}}}}$
| $\frac{{\left[ L \right]}}{{\left[ L \right]}}$
| $\left[ {{M^0}{L^0}{T^0}} \right]$
| No units |
| 88. | Fluid flow rate | $\frac{{\left( {\frac{\pi }{8}} \right)\left( {{\text{Pressure}}} \right) \times {{\left( {{\text{Radius}}} \right)}^4}}}{{\left( {{\text{Viscosity coefficient}}} \right) \times \left( {{\text{Length}}} \right)}}$
| $\frac{{\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]{{\left[ L \right]}^4}}}{{\left[ {M{L^{ - 1}}{T^{ - 1}}} \right]\left[ L \right]}}$
| $\left[ {{M^0}{L^3}{T^{ - 1}}} \right]$
| $m^3\ s^{-1}$ |
| 89. | Capacitive reactance | ${\left( {{\text{Angular frequency}} \times {\text{Capacitance}}} \right)^{ - 1}}$
| ${\left[ {{T^{ - 1}}} \right]^{ - 1}}{\left[ {{M^{ - 1}}{L^{ - 2}}{T^4}{A^2}} \right]^{ - 1}}$
| $\left[ {M{L^2}{T^{ - 3}}{A^{ - 2}}} \right]$
| $\Omega$ (ohm) |
| 90. | Inductive reactance | $\left( {{\text{Angular frequency}} \times {\text{Inductance}}} \right)$
| $\left[ {{T^{ - 1}}} \right]\left[ {M{L^2}{T^{ - 2}}{A^{ - 2}}} \right]$
| $\left[ {M{L^2}{T^{ - 3}}{A^{ - 2}}} \right]$
| $\Omega$ (ohm) |
