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ExamsJEE AdvancedPhysics

Match the physical quantities in Column I with their dimensional formulas in Column II. Column I: (A) Angular momentum, (B) Torque, (C) Stress, (D) Pressure gradient Column II: (I) [M L² T⁻²], (II) [M L⁻² T⁻²], (III) [M L² T⁻¹], (IV) [M L⁻¹ T⁻²] Choose the correct matching.

  1. A-I, B-IV, C-III, D-II
  2. A-III, B-I, C-IV, D-II
  3. A-II, B-III, C-IV, D-I
  4. A-IV, B-II, C-I, D-III

Correct answer: A-III, B-I, C-IV, D-II

Solution

Angular momentum = I*omega has dimensions [M L²][T⁻¹] = [M L² T⁻¹] matching III. Torque = force*distance = [M L T⁻²][L] = [M L² T⁻²] matching I. Stress = force/area = [M L⁻¹ T⁻²] matching IV. Pressure gradient = pressure/length = [M L⁻² T⁻²] matching II.

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