Some physical constants are given in List-I and their dimensional formulae are given in List-II. Match the following List-I (1) Planck's constant (2) Gravitational constant (3) Bulk modulus (4) Coefficient of viscosity List-II (i) [ ML ⁻¹ ~T ⁻² ] (ii) [ ML ⁻¹ ~T ⁻¹ ] (iii) [ ML ^2 ~T ⁻¹ ] (iv) [ M ⁻¹ ~L ^3 ~T ⁻² ] The correct answer is

Step-by-step solution

(1) Planck's constant aligned [h] & = [ E v ] & = [ ML ^2 ~T ⁻² ] [ T ⁻¹ ] = [ ML ^2 ~T ⁻¹ ] aligned (2) Gravitational constant aligned [G] & = [ F r^2 m₁ m₂ ] & = [ MLT ⁻² ] [ L ^2 ] [ M ^2 ] & = [ M ⁻¹ ~L ^3 ~T ⁻² ] aligned (3) Bulk modulus aligned [B] & = [ Normal stress ] [ Volumetric strain ] & = [ ML ⁻¹ ~T ⁻² ] aligned (4) Coefficient of viscosity, aligned & = [F] [A][d v / d y] = [ ML ⁻² ][ L ] [ L ^2 ] [ LT ⁻¹ ] & = [ ML ⁻¹ ~T ⁻¹ ] aligned Hence, option (d) is correct. [OBJECT END