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Question: Answered & Verified by Expert

Match List I with List II

  List   List II
A Young's Modulus (Y) I [ML1 T 1]
B Co-efficient of Viscosity (η) II [ML2 T 1]
C Planck's Constant (h) III [ML1 T 2]
D Work Function ϕ IV [ML2 T2]

Choose the correct answer from the options given below:

PhysicsUnits and DimensionsJEE MainJEE Main 2023 (25 Jan Shift 2)
Options:
  • A A-II, B-III, C-IV, D-I
  • B A-III, B-I, C-II, D-IV
  • C A-I, B-III, C-IV, D-II
  • D A-I, B-II, C-III, D-IV
Solution:
2427 Upvotes Verified Answer
The correct answer is: A-III, B-I, C-II, D-IV

(A) Young's modulus is stated asY=StressStrain=FAll=FlAl=MLT-2LL2L=ML-1T-2(B) Coefficient of viscosity is stated as η=F6πrv, here, v is velocity.

η=MLT-2LLT-1=ML-1T-1

(C) Planck's Constant is stated as h=EnergyFrequency=ML2T-2T-1=ML2T-1

(D) Work function has the same dimension as that of energy, so ϕ=ML2T-2

Thus, A-III, B-I, C-II, D-IV

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