Question

Find the dimensional formulae of the following quantities :
(i) A universal constant of gravitation (G) (ii) Thermal Conductivity (K)
(iii) The coefficient of viscosity

Answer 1

Explanation:

(i) G = [M1 L1 T-2] × [L]2 × [M]-2 = [M-1 L3 T-2]. Therefore, the gravitational constant is dimensionally represented as M-1 L3 T-2.

(ii) K = MLT⁻³K⁻¹

Hence the dimension of thermal conductivity is MLT⁻³K⁻¹ .

(iii) Coefficient of viscosity (η)= Fr/Av ——- F= tangential Force, Area, r= distance between the layers, v= velocity. Dimensional Formula of Force = M1L1T-2. Dimensional Formula of Area= M0L2T0.

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