A small metallic sphere of diameter 2 mm and density $10.5 {g/cm}^{3}$ is dropped in glycerine having viscosity 10 Poise and density $1.5 {g/cm}^{3}$ respectively. The terminal velocity attained by the sphere is ____ cm/s.

$(π = \frac{22}{7} and g = 10 {m/s}^{2})$ [2026]

Question

A small metallic sphere of diameter 2 mm and density $10.5 {g/cm}^{3}$ is dropped in glycerine having viscosity 10 Poise and density $1.5 {g/cm}^{3}$ respectively. The terminal velocity attained by the sphere is ____ cm/s.

$(π = \frac{22}{7} and g = 10 {m/s}^{2})$ [2026]

Smart Achievers · Accepted Answer

(3)

$V_{T} = \frac{2 r^{2} g}{9 η} (ρ_{b} - ρ_{ℓ})$

$V_{T} = \frac{2}{9} \cdot \frac{{(1)}^{2} \times 10}{10} (10.5 - 1.5)$

$V_{T} = 2 cm/sec.$

Solution

Q.
A small metallic sphere of diameter 2 mm and density $10.5 {g/cm}^{3}$ is dropped in glycerine having viscosity 10 Poise and density $1.5 {g/cm}^{3}$ respectively. The terminal velocity attained by the sphere is ____ cm/s.

$(π = \frac{22}{7} and g = 10 {m/s}^{2})$ [2026]

1 3.0

2 1.0

3 2.0

4 1.5

Ans.
(3)

$V_{T} = \frac{2 r^{2} g}{9 η} (ρ_{b} - ρ_{ℓ})$

$V_{T} = \frac{2}{9} \cdot \frac{{(1)}^{2} \times 10}{10} (10.5 - 1.5)$

$V_{T} = 2 cm/sec.$

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