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Reynold's Number

If the termin...

Question

If the terminal speed of a sphere of gold (density $= 19.5 k g / m^{3}$ ) is $0.2 m / s$ in a viscous liquid (density $= 1.5 k g / m^{3}$ ), find the terminal speed of a sphere of silver (density $= 10.5 k g / m^{3}$ ) of the same size in the same liquid

0.4 m / s

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0.133 m / s

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0.1 m / s

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0.2 m / s

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Solution

The correct option is D $0.1 m / s$
Terminal Velocity,
$V_{T} = \frac{2 r^{2} (d_{1} - d_{2}) g}{9 η}$
$\frac{V_{T_{2}}}{0.2} = \frac{(10.5 - 1.5)}{(19.5 - 1.5)} \Rightarrow V_{T_{2}} = 0.2 \times \frac{9}{18}$
$∴ V_{T_{2}} = 0.1 m / s$

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Similar questions

= 19.5 {kg/m}^{3}

0.2 m/s

= 1.5 {kg/m}^{3}

= 10.5 {kg/m}^{3}

A

(density = 19.5 {kg/m}^{3})

0.2 m/s

(density = 1.5 {kg/m}^{3})

B

density = 10.5 {kg/m}^{- 3})

19.5 k g / m^{3}

0.2 m / s

1.5 k g / m^{3}

10.5 k g / m^{3}

A

(density = 19.5 {kg/m}^{3})

0.2 m/s

(density = 1.5 {kg/m}^{3})

B

density = 10.5 {kg/m}^{- 3})

= 19.5 {kg/m}^{3}

0.2 m/s

= 1.5 {kg/m}^{3}

= 10.5 {kg/m}^{3}

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