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PhysicsMediumNumerical2024 · 08 Apr Shift 2

Q23.Small water droplets of radius 0.01 mm are formed in the upper atmosphere and falling with a terminal velocity of 10 cm/s. Due to condensation, if 8 such droplets are coalesced and formed a larger drop, the new terminal velocity will be _____ cm/s.

What This Question Tests

The question tests the relationship between terminal velocity and droplet radius, and how the radius changes when multiple droplets coalesce while conserving total volume.

Concepts Tested

Terminal velocityStokes' LawVolume conservation during coalescenceRadius dependence of terminal velocity

Formulas Used

v_t = (2r²(ρ - σ)g) / (9η)

V_new = n * V_old

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