Question 39

Matd1 List - I with List - II.
             List - I                                          List - II
A. Coefficient of viscosity          I.   $$[ML^{-1}T^{-2}]$$
B. Surface tension                      II.   $$[ML^{2}T^{-2}]$$
C. Pressure                                  III.  $$[ML^{0}T^{-2}]$$
D. Surface energy                       IV.  $$[ML^{-1}T^{-1}]$$
Choose the correct answer from the options given below:

Match the physical quantities with their dimensional formulas.

A. Coefficient of viscosity:

Viscosity $$\eta$$ has units Pa.s = kg/(m.s). Dimensional formula: $$[ML^{-1}T^{-1}]$$ = IV

B. Surface tension:

Surface tension has units N/m = kg/s$$^2$$. Dimensional formula: $$[ML^0T^{-2}] = [MT^{-2}]$$ = III

C. Pressure:

Pressure has units Pa = N/m$$^2$$ = kg/(m.s$$^2$$). Dimensional formula: $$[ML^{-1}T^{-2}]$$ = I

D. Surface energy:

Surface energy has units J = kg.m$$^2$$/s$$^2$$. Dimensional formula: $$[ML^2T^{-2}]$$ = II

Matching: A-IV, B-III, C-I, D-II

The correct answer is Option 3: A-IV, B-III, C-I, D-II.

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