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Match List - I with List - II :

List - IList - II
(a) Mach number(i) Inertia force/Gravitational force
(b) Froude number(ii) Inertia force/Elastic force
(c) Nusselt number(iii) Momentum Diffusivity/Thermal Diffusivity
(d) Prandtl number(iv) Convective heat transfer rate/Conductive heat transfer rate

Choose the most appropriate answer from the options given below :

  • A.(a)-(iii), (b)-(ii), (c)-(i), (d)-(iv)
  • B.(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)
  • C.(a)-(ii), (b)-(i), (c)-(iii), (d)-(iv)
  • D.(a)-(iii), (b)-(ii), (c)-(iv), (d)-(i)

Answer: B

The correct matching is (a)-(ii), (b)-(i), (c)-(iv), (d)-(iii).

  • Mach number is the square root of inertia force over elastic (compressibility) force, \(V/c\) (a-ii).
  • Froude number is the square root of inertia force over gravity force, \(V/\sqrt{gL}\) (b-i).
  • Nusselt number is convective over conductive heat transfer, \(hL/k\) (c-iv).
  • Prandtl number is momentum diffusivity over thermal diffusivity, \(\nu/\alpha\) (d-iii).

Option C swaps Nusselt and Prandtl, and options A and D give the Mach number the Prandtl number's ratio, so only option B has all four right.

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