Match List-I with List-II. List-I: (A) Coefficient of viscosity, (B) Intensity of wave, (C) Pressure gradient, (D) Compressibility. List-II: (I) [M L⁰ T⁻³], (II) [M L⁻² T⁻²], (III) [M⁻¹ L T²], (IV) [M L⁻¹ T⁻¹]. Choose the correct match.
Options

Question

Match List-I with List-II. List-I: (A) Coefficient of viscosity, (B) Intensity of wave, (C) Pressure gradient, (D) Compressibility. List-II: (I) [M L⁰ T⁻³], (II) [M L⁻² T⁻²], (III) [M⁻¹ L T²], (IV) [M L⁻¹ T⁻¹]. Choose the correct match.

Options

G1 Physics · Accepted Answer

Coefficient of viscosity: [η] = M L⁻¹ T⁻¹ ⇒ IV. Intensity of wave = power/area: [I] = (M L² T⁻³)/L² = M T⁻³ = M L⁰ T⁻³ ⇒ I. Pressure gradient = pressure/length: [∇P] = (M L⁻¹ T⁻²)/L = M L⁻² T⁻² ⇒ II. Compressibility = 1/pressure: [κ] = M⁻¹ L T² ⇒ III. Thus A–IV, B–I, C–II, D–III. Correct option: A.