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Question: Answered & Verified by Expert
Match List I with List II
  List I   List II
A. Torque I. M L-2 T-2
B. Stress II. M L2 T-2
C. Pressure gradient III. M L-1 T-1
D. Coefficient of
viscosity
IV. M L-1 T-2
Choose the correct answer from the options given below :
PhysicsUnits and DimensionsJEE MainJEE Main 2023 (08 Apr Shift 2)
Options:
  • A A-II, B-I, C-IV, D-III
  • B A-IV, B-II, C-III, D-I
  • C A-II, B-IV, C-I, D-III
  • D A-III, B-IV, C-I, D-II
Solution:
1590 Upvotes Verified Answer
The correct answer is: A-II, B-IV, C-I, D-III

The dimensions of the quantities are as follows.

F=M LT-2r=Lv=LT-1A=L2

The dimensional form of stress is same as pressure.

Torque = Force × distance=ML2 T-2
Stress = Force  Area =M L-1 T-2
Pressure Gradient =dpdx=ML-2 T-2
η=F6πrv=MLT-2L·LT-1=ML-1 T-1

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