Match List I with List II for physical quantities and dimensions

Q. Match List – I with List – II.

List – I	List – II
A. Coefficient of viscosity	I. [ M L⁻¹ T⁻² ]
B. Surface tension	II. [ M L² T⁻² ]
C. Pressure	III. [ M L⁰ T⁻² ]
D. Surface energy	IV. [ M L⁻¹ T⁻¹ ]

Choose the correct answer from the options given below :

A. A-I, B-II, C-IV, D-III

B. A-IV, B-III, C-I, D-II

C. A-IV, B-I, C-II, D-III

D. A-I, B-III, C-II, D-IV

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

Solution

The dimensional formula of coefficient of viscosity is obtained from force per unit area per velocity gradient, which gives dimensions [ M L⁻¹ T⁻¹ ]. Hence A matches with IV.

Surface tension is force per unit length. Force has dimensions [ M L T⁻² ], so surface tension has dimensions [ M T⁻² ]. Hence B matches with III.

Pressure is force per unit area. Therefore, its dimensions are [ M L⁻¹ T⁻² ]. Hence C matches with I.

Surface energy is energy, and energy has dimensions [ M L² T⁻² ]. Hence D matches with II.

Therefore, the correct matching is A-IV, B-III, C-I, D-II.

Q. Match List – I with List – II.

Solution

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