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