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Question

Physics Question on Units and measurement

Match List I with List IIList IList II
A.Young's Modulus (Y)I.[M L-1 T-1 ]
B.Co-efficient of Viscosity (η)II.[M L2 T-1 ]
C.Planck's Constant (h)III.[M L-1 T-2 ]
D.Work Function (ϕ)IV.[M L2 T-2 ]
Choose the correct answer from the options given below:
A

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

B

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

C

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

D

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

Answer

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

Explanation

Solution

The correct answer is (D) : A-III, B-I, C-II, D-IV
Y= Strain Stress ​=Δℓ/ℓF/A​=[L2][MLT−2]​=[ML−1T−2]
F=6πηrv⇒η=6πrvF​
[η]=[L][LT−1][MLT−2]​=[ML−1T−1]
E=hv⇒h=vE​=[T−1][ML2T−2]​=[ML2T−1]
Work function has same dimension as that of energy, so [ϕ]=[ML2T−2]