Match List - I with List - II.List - I(A) Mass density(B) Impulse(C) Power (D) Moment of inertiaList - II(I) [ML²T⁻³](II) [MLT⁻¹](III) [ML²T⁰](IV) [ML⁻³T⁰]
❓ Question Match List - I with List - II: List - I List - II (A) Mass density (I) [ML²T⁻³] (B) Impulse (II) [MLT⁻¹] (C) Power (III) [ML²T⁰] (D) Moment of inertia (IV) [ML⁻³T⁰] 🖼️ Question Image ✍️ Short Solution To solve this, recall the dimensional formulas for each physical quantity: Step 1 — Mass density (ρ) Mass density is mass per unit volume: ρ = M V ⇒ [ ρ ] = M L 3 = [ M L − 3 T 0 ] ✅ Match → (A) → (IV) Step 2 — Impulse (J) Impulse is the product of force and time : J = F Δ t = ( M L T − 2 ) ( T ) = [ M L T − 1 ] ✅ Match → (B) → (II) Step 3 — Power (P) Power is work done per unit time : P = W t = F ⋅ L T = ( M L T − 2 ) L T = [ M L 2 T − 3 ] ✅ Match → (C) → (I) Step 4 — Moment of inertia (I) Moment of inertia about an axis: I = ∑ m r 2 ⇒ [ I ] = M L 2 ✅ Match → (D) → (III) 🧮 Image Solution ✅ Conclusion & Video Solution ✅ Final Matching: List - I List - II (A) Mass density (IV) [M L⁻³ T⁰] (B) Impulse (II) [M L T⁻¹] (C) Power (I) [M L² ...