The terminal velocity (vt) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :

  1. r1/2
  2. r
  3. r2
  4. r3

Answer (Detailed Solution Below)

Option 3 : r2
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JEE Main 04 April 2024 Shift 1
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Detailed Solution

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Explanation:

The terminal velocity of the spherical raindrop can be defined as,

\(v_t= \frac{2}{9}\frac{gr^2 (ρ_1 - ρ_2)}{η }\)  ----- (1)

where, r = radius of the sphere,  η = viscosity of the medium, ρ1 = density of sphere &  ρ2 = density of medium  

From equation (1) we can say that-

Terminal velocity, vt ∝ r2.

Hence, Option 3) is the correct choice.

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