The Shri Ram School, Aravali Grade XI Derived Physical Quantities S. No. 1. Derived Physical Quantity Area Formula Length x breadth [ Dimensional Formula ] SI Unit of physical quantity 2. Volume Length x breadth x height [ 3. Density Mass/volume [ 4. Specific Gravity [ 5. Frequency [ 6. Angle [ 7. Velocity [ ] m/s 8. Speed [ ] m/s 9. Areal velocity [ ] m2/s 10. Acceleration [ ] m s-2 11. Linear momentum [ ] kg m s-1 12. Force [ ] Kg m s-2 or newton (N) 13. Thrust Force [ ] Kg m s-2 or newton (N) 14. Tension Force [ ] Kg m s-2 or newton (N) 15. Weight mg [ ] Kg m s-2 or newton (N) 16. Force x │ distance [ ] Kg m2 s-2 or Nm 17. Moment of force/ Torque/ Couple Impulse [ ] kg m s-1 or Ns 18. Pressure mass x velocity [ ] Kg m-3 ] ] No units ] hertz (Hz) ] radian (rad) ] N m-2 or pascal (Pa) 19. Work [ ] Nm or joule (J) 20. Kinetic Energy [ ] Nm or joule (J) 21. Potential Energy Mgh [ ] Nm or joule (J) 22. Energy (All) work [ ] Nm or joule (J) 23. Gravitational constant [ 24. [ ] 25. Gravitational field strength Gravitational Potential [ ] 26. Force constant (k) [ ] N m-1 27. Power [ ] W or J/sec 28. Stress [ 29. Strain [ 30. [ 31. Modulus/coefficient of Elasticity Radius of Gyration 32. Moment of Inertia (I) 33. Velocity gradient 34. Rate of flow 35. Coefficient of viscosity [ 36. Surface Tension [ ] Kg m-1 s-1or Pa s or poiseuille kg s2 or Nm-1 37. Surface Energy [ ] Nm or joule (J) 38. [ 39. Angular displacement ( ) Angular velocity (ω) [ ] rad s-1 40. Angular acceleration (α) [ ] rad s-2 41. Angular momentum Force / increase in length distance Mass x (radius of gyration)2 ] ] ] ] Energy of free surface Iω Kg m2 ] s-1 ] [M0L3T-1] [ N m-2or Pa M [ Volume / time N m-2 or Pa No units [M0L1T0] [ kg-1 m3 s-2or N m2 kg-2 m3 s-1 ] ] ] radian (rad) kg m2 s-1 42. Torque 43. Angular frequency 44. Angular Impulse 45. Rotational Kinetic Energy Temperature 46. 47. Iα [ ] Kg m2 s-2 or Nm 2π x frequency [ ] rad s-1 Iω [ ½ Iω2 [ kg m2 s-1 ] ] Nm or joule (J) [M0L0T0K1] 48. Coefficient of linear expansion(α) Heat 49. Specific heat [ 50. Latent heat [ 51. Gas constant [ 52. Pressure Energy Pressure x volume [ 53. Pressure Gradient Pressure / distance [ML-2T-2] 54. Trigonometric ratio 55. kelvin (K) [ Energy K-1 ] [ ] Nm or joule (J) ] J kg-1 K-1 J kg-1 ] ] ] J K-1 Nm or joule (J) N m-3 Length / length [ Escape velocity √2gR [ ] m/s 56. Internal Energy Energy [ ] Nm or joule (J) 57. Efficiency [ 58. Energy density Output energy / input energy Energy / volume 59. Reynold number 60. Avogadro number 61. Boltzmann’s constant 62. Centripetal acceleration 63. Critical velocity 64. Co-efficient of friction ρDvc ] no units ] no units [ML-1T-2] J m-3 [ ] no units No. of atoms/molecules in 1g [ atom/mole [ ] mole-1 NR = η ] J/kelvin (velocity)2 / radius [ ] m s-2 NR η / ρD [ ] m/s = [ ] no units 65. Linear Mass density 66. Planck’s constant 67. 68. Distance travelled in nth second Refractive index 69. Focal length(f) 70. Power of a lens (P) 71. Wave number 72. Wave length Mass / length [M1L-1T0] h = E/ν [ Distance / time [ μ = c/v [ kg m-1 ] Js ] ] m/s no units Distance between center of the lens(mirror) to its focus 1/f [M0L1T0] m [M0L-1T0] m-1 No. of waves/distance [M0L-1T0] Length of a wave [M0L1T0] m