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According to Stoke's law, the terminal velocity of a particle in a medium depends on: (A) Gravitational acceleration (B) Density of the particle (C) D
Question



According to Stoke's law, the terminal velocity of a particle in a medium depends on: (A) Gravitational acceleration (B) Density of the particle (C) Density of the medium (D) Size of the particle (E) Viscosity of the medium
Choose the correct answer from the options given below:

A.

(B), (D) and (E) Only

B.

(A), (D) and (E) Only

C.

(A), (B), (C), (D) and (E)

D.

(A), (B), (C) and (E) Only

Correct option is C

Explanation:
Stoke's Law gives the terminal velocity vtv_tvt​ of a small spherical particle falling through a viscous fluid:


Where:
· r = radius of the particle (related to size)
· ρp = density of the particle
· ρm = density of the medium
· g = gravitational acceleration
· η = viscosity of the medium
So terminal velocity depends on all five parameters listed: (A), (B), (C), (D), and (E).
Information Booster:
· Terminal velocity is reached when the net force on the falling particle becomes zero (gravitational force balanced by drag and buoyant force).
· This law applies to laminar flow conditions (small Reynolds number).
· Important in sedimentation, pollution control, and fluid mechanics.
Additional Information:
· (a) (B), (D), (E) Only – Incorrect; excludes gravitational acceleration and fluid density.
· (b) (A), (D), and (E) Only – Incorrect; misses density of the particle and medium.
· (d) (A), (B), (C), and (E) Only – Incorrect; excludes particle size.

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