Match List I with List II
Choose the correct answer from the options given below:
| LIST I | LIST II | ||
|---|---|---|---|
| A. | Young's Modulus (Y) | I. | |
| B. | Co-efficient of Viscosity () | II. | |
| C. | Planck's Constant (h) | III. | |
| D. | Work Function () | IV. |
Choose the correct answer from the options given below:
- A.A-II, B-III, C-IV, D-I
- B.A-I, B-III, C-IV, D-II
- C.A-III, B-I, C-II, D-IV
- D.A-I, B-II, C-III, D-IV
Show answer and solution
Correct option: C
Solution
Young's Modulus = Stress/Strain = Force/Area = [MLT⁻²]/[L²] = [ML⁻¹T⁻²] → III.
Coefficient of Viscosity from F = ηA(dv/dz): η = F·z/(A·v) = [MLT⁻²·L]/[L²·LT⁻¹] = [ML⁻¹T⁻¹] → I.
Planck's Constant h = E/ν = [ML²T⁻²]/[T⁻¹] = [ML²T⁻¹] → II.
Work Function is energy, so [ML²T⁻²] → IV. This gives A-III, B-I, C-II, D-IV, which is option 3.
Coefficient of Viscosity from F = ηA(dv/dz): η = F·z/(A·v) = [MLT⁻²·L]/[L²·LT⁻¹] = [ML⁻¹T⁻¹] → I.
Planck's Constant h = E/ν = [ML²T⁻²]/[T⁻¹] = [ML²T⁻¹] → II.
Work Function is energy, so [ML²T⁻²] → IV. This gives A-III, B-I, C-II, D-IV, which is option 3.
[JEE Main 2023 · 25 Jan · Shift 2]