# Dimensional Formula of Some Physical Quantities – Units and Measurement

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## Reference Notes Dimensional Formula of Some Physical Quantities Unit: Units and Measurement Science | Physics Class 11

Dimensional formula of physical quantity can only be written when its relation with other physical quantities is known. Some of the physical quantities with the dimensional formula are given below:

 S.No. Physical Quantity Relation with other Physical Quantities Dimensional formula SI-Unit 1. Area length × breadth [L] × [L] = [M0L2T0] m2 2. Volume length × breadth × height [L] × [L] × [L] = [M0L3T0] m3 3. Density $\frac{\ mass}{\ volume}$$\frac{\ mass}{\ volume}$ $\frac{\ [M]}{\ [L^{3}]} = [ML^{-3}T^0]$$\frac{\ [M]}{\ [L^{3}]} = [ML^{-3}T^0]$ kg m-3 4. Speed or Velocity $\frac{\ distance}{\ time}$$\frac{\ distance}{\ time}$ $\frac{\ [M]}{\ [L^{3}]} = [M^0LT^{-1}]$$\frac{\ [M]}{\ [L^{3}]} = [M^0LT^{-1}]$ m s-1 5. Acceleration $\frac{\ velocity}{\ time}$$\frac{\ velocity}{\ time}$ $\frac{\ [L T^{-1}]}{\ [T]} = [M^0LT^{-2}]$$\frac{\ [L T^{-1}]}{\ [T]} = [M^0LT^{-2}]$ m s-2 6. Momentum mass × velocity [M] × [L T-1] = [M L T-1] kg m s-1 7. Force mass × acceleration [M] × [L T-2] = [M L T-2] N (newton) 8. Pressure $\frac{\ force}{\ area}$$\frac{\ force}{\ area}$ $\frac{\ [M L T^{-2}]}{\ [L^2]} = [M L^{-1} T^{-2}]$$\frac{\ [M L T^{-2}]}{\ [L^2]} = [M L^{-1} T^{-2}]$ N m-2 or Pa (pascal) 9. Work force × distance [M L T-2] × [L] = [M L2 T-2] J (joule) 10. Energy (Mechanical, heat, light, etc) work [M L2 T-2] J 11. Power $\frac{\ work}{\ time}$$\frac{\ work}{\ time}$ $\frac{\ [M L^2 T^{-2}]}{\ [T]} = [M L^2 T^{-3}]$$\frac{\ [M L^2 T^{-2}]}{\ [T]} = [M L^2 T^{-3}]$ W (watt) 12. Gravitational Constant(G) $\frac{\ force \times (distance)^2}{\ (mass)^2}$$\frac{\ force \times (distance)^2}{\ (mass)^2}$ [M-1 L3 T-2] N m2 kg-2 13. Impulse force × time [M L T-2] × [T] = [M L T-1] N s 14. Surface tension $\frac{\ force}{\ length}$$\frac{\ force}{\ length}$ $\frac{\ [M L T^{-2}]}{\ [L]} = [M L^0 T^{-2}]$$\frac{\ [M L T^{-2}]}{\ [L]} = [M L^0 T^{-2}]$ N m-1 15. Coefficient of viscosity $\frac{\ force}{\ area \times velocity gradient}$$\frac{\ force}{\ area \times velocity gradient}$ [M L-1 T-1] daP (decapoise) 16. Angle $\frac{\ arc}{\ radius}$$\frac{\ arc}{\ radius}$ Dimensionless rad 17. Moment of inertia mass × (distance)2 [M L2 T0] kg m2 18. Angular momentum moment of inertia × angular velocity [M L2] × [T-1] = [M L2 T-1] Kg m2 s-1 19. Torque or couple force × perpendicular [M L T-2] × [L] = [M L2 T-2] N m 20. Frequency $\frac{\ 1}{\ second}$$\frac{\ 1}{\ second}$ [T-1] Hz

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1. Swati verma
Posted June 22, 2016 at 8:08 pm

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2. Swati verma
Posted June 22, 2016 at 8:09 pm

Tysm for having such good responses

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