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If the terminal speed of a sphere of gold (density =19.5kg/m^{

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

0.133 m / s

0.1 m / s

0.2 m / s

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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

6 mins ago

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6 mins ago

Text solutionVerified

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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Question Text	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
Answer Type	Text solution:1
Upvotes	150