Two rain drops of same radius are falling through air each with a steady speed of 5 cm/s. If the drops coalesce, the new steady velocity of big drop will be (a) 5 cm/s (b) 5√(2) cm/s (c) 5 × 21/3 cm/s (d) 5 × (4)1/3 cm/s

Answer: (d). v ∝ r² and R = n1/3r, so v' = n2/3v. n = 2: v' = 22/3 × 5 = 5 × (4)1/3 cm/s So the answer is (d) 5 × (4)1/3 cm/s.

Two rain drops of same radius are falling through air each with a… | MHT CET 2024 (11 May, Shift 2)

Q23MHT CET 2024 · 11 MAY · SHIFT 2Easy

Terminal Velocity

Two rain drops of same radius are falling through air each with a steady speed of $5\text{ cm/s}$ . If the drops coalesce, the new steady velocity of big drop will be

Show answer and solution

Answer: (d)

$v \propto r^2$ and $R = n^{1/3}r$ , so $v' = n^{2/3}v$ .
$n = 2$ : $v' = 2^{2/3} \times 5 = 5 \times (4)^{1/3}$ cm/s
So the answer is (d) $5 \times (4)^{1/3}$ cm/s.

Report a mistake

More questions on Terminal Velocity

A small steel ball is dropped into a long cylinder containing glycerine. Which one of the…JEE Main 2024 (31 Jan, Shift 1)
A lead sphere of mass ' m ' falls in viscous liquid with terminal velocity V₀. Another…MHT CET 2024 (11 May, Shift 2)
Two metal spheres are falling through a liquid of density 2.5 × 10³ kg/m³ with the same…MHT CET 2024 (10 May, Shift 2)
A metal sphere of radius R, density ρ₁ moves with terminal velocity V₁ through a liquid…MHT CET 2024 (10 May, Shift 1)
A spherical ball of radius 1 × 10⁻⁴ m and density 10⁵ kg/m³ falls freely under gravity…JEE Main 2024 (9 Apr, Shift 2)
A small spherical ball of radius r, falling through a viscous medium of negligible…JEE Main 2024 (31 Jan, Shift 2)
Small water droplets of radius 0.01 mm are formed in the upper atmosphere and falling…JEE Main 2024 (8 Apr, Shift 2)
A metal ball of radius 9 × 10⁻⁴ m and density 10⁴ kg/m³ falls freely under gravity…MHT CET 2024 (3 May, Shift 1)

Terminal Velocity question from MHT CET 2024 (11 May, Shift 2)

More questions on Terminal Velocity