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Match Group A with Group B: Group A: P: Biot number, Q: Grashof number, R: Prandtl number, S: Reynolds number Group B: 1: Ratio of buoyancy to viscous force, 2: Ratio of inertia force to viscous force, 3: Ratio of momentum to thermal diffusivities, 4: Ratio of internal thermal resistance to boundary layer thermal resistance

1. P-4, Q-1, R-3, S-2
2. P-4, Q-3, R-1, S-2
3. P-3, Q-2, R-1, S-4
4. P-2, Q-1, R-3, S-4

Correct answer: P-4, Q-1, R-3, S-2

Solution

The correct option matches each dimensionless number with its defining ratio: the Biot number (P) relates internal thermal resistance to boundary layer thermal resistance (4), the Grashof number (Q) compares buoyancy to viscous forces (1), the Prandtl number (R) is the ratio of momentum to thermal diffusivities (3), and the Reynolds number (S) represents the ratio of inertia to viscous forces (2).

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