DPP Questions- Units and Dimensions.

Units and Dimensions

1) Find the dimensions of the following.

i) Force

ii) Power

iii) Permittivity of a vacuum

2) Using dimensional analysis, Show that,

1 Joule=107erg

3) Show that the given below equation is dimensionally correct equation.

v = u + a t

4) Write the C.G.S. units of the following.

i) Universal gravitational constant

ii) Acceleration due to gravity

iii) Force

5) Find the dimensions of length in terms of force, universal gravitational constant and mass.

(Consider F G and m as basic fundamental quantities.)

Note: For the detailed solution, please visit the next blog. Below are only answers.

Answer:

F = [M^{1} L^{1} T^{- 2}] ii) P = [M^{1} L^{2} T^{- 3}] iii) ε_{0} = [M^{- 1} L^{- 3} T^{4} I^{2}] 3) i) G = \frac{c m ^{3}}{g . s} ii) g = \frac{c m}{s ^{2}} iii) F = \frac{g . c m}{s ^{2}} 5) L = [G^{1 / 2} M^{1} F^{- 1 / 2}]

Basics of Physics