1.

nd the dimensions of (i) Power, (ii) Force and) Permittivity of vacuum (Eo).[Ans : (i) [L-MT(ii) ILMT 21

Answer»

i) Power = Work / Time

Work = Force * Distance

Force = Mass * Acceleration

Acceleration = Change in velocity /Time

Velocity Dimension Formula = M^0 L^1 T^-1

Time Dimension Formula = T

so

Acceleration = M^0 L^1 T^-1 / T = M^0 L^ 1 T^-2

Force = M* M^0 L^ 1 T^-2 = M^1 L^1 T^-2

Work = M^1 L^1 T^-2 * L = M^1 L^2 T^ -2

Now Power = M^1 L^2 T^-2 / T

=M^ 1 L^ 2 T ^ -3



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