Match List I with List II List I: A. Young's Modulus (Y) B. Co-efficient of Viscosity (\(\eta\)) C. Planck's Constant (h) D. Work Function \((\phi)\) List II: I. \([\mathrm{M} \mathrm{L}^{-1} \mathrm{~T}^{-1}]\) II. \([\mathrm{M} \mathrm{L}^{2} \mathrm{~T}^{-1}]\) III. \([\mathrm{M} \mathrm{L}^{-1} \mathrm{~T}^{-2}]\) IV. \([\mathrm{M} \mathrm{L}^{2} \mathrm{~T}^{-2}]\) Choose the correct answer from the options given below:

Each quantity is placed by its dimensions. Young's modulus is stress over strain, . The coefficient of viscosity, from a force fixed by area and velocity gradient, is . Planck's constant, energy divided by frequency, is . The work function, an energy, is . So Young's modulus matches , the coefficie…

JEE Main · 2023 · 25 Jan 2023 · Shift 2 · Units & Measurement

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Match List I with List II

List I:
A. Young's Modulus (Y)
B. Co-efficient of Viscosity (

η

)
C. Planck's Constant (h)
D. Work Function

(ϕ)

List II:
I.

[M L^{- 1} T^{- 1}]

II.

[M L^{2} T^{- 1}]

III.

[M L^{- 1} T^{- 2}]

IV.

[M L^{2} T^{- 2}]

Choose the correct answer from the options given below:

Answer: A → III, B → I, C → II, D → IV

Solution

Each quantity is placed by its dimensions. Young's modulus is stress over strain,

[M L^{- 1} T^{- 2}]

. The coefficient of viscosity, from a force fixed by area and velocity gradient, is

[M L^{- 1} T^{- 1}]

. Planck's constant, energy divided by frequency, is

[M L^{2} T^{- 1}]

. The work function, an energy, is

[M L^{2} T^{- 2}]

. So Young's modulus matches

[M L^{- 1} T^{- 2}]

, the coefficient of viscosity matches

[M L^{- 1} T^{- 1}]

, Planck's constant matches

[M L^{2} T^{- 1}]

, and the work function matches

[M L^{2} T^{- 2}]

JEE Main · 2023 · 25 Jan 2023 · Shift 2 · Match the columns

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JEE Main · 2023 · 25 Jan 2023 · Shift 2 · Units & Measurement

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