Match the physical quantities given in List-I with dimensions expressed in terms of mass (M), length (L), time (T) and electric current (A) given in List-II. List-I List-II (a) Torque (i) [M⁻¹L⁻²T⁴A²] (b) Gravitational constant (ii) [M¹L²T⁻¹] (c) Capacitance (iii) [M⁻¹L³T⁻²] (d) Planck's constant (iv) [M¹L²T⁻²] Codes:

Step-by-step solution

Torque = Force Distance [ ] = [MLT⁻²][L] = [M¹L²T⁻²] Gravitational constant G = Fr² m₁m₂ [G] = [MLT⁻²][L²] [M²] = [M⁻¹L³T⁻²] Capacitance C = Q V = Q² W [C] = [AT]² [ML²T⁻²] = [M⁻¹L⁻²T⁴A²] Planck's constant h = E [h] = [ML²T⁻²] [T⁻¹] = [M¹L²T⁻¹] Thus, the correct matching is a - iv, b - iii, c - i, d - ii. Answer: a - iv, b - iii, c - i, d – ii