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At 20.C, to attain the terminal velocity...

At `20.`C, to attain the terminal velocity how fast willan aluminium sphre of radii 1 mm fall though water. Assume flow to be laminar flow and specific gravity (AI) `=2.7eta_("water")=8xx10^(-4) Pa`

A

9.2m/s

B

6.9m/s

C

4.6m/s

D

2.3m/s

Text Solution

Verified by Experts

The correct Answer is:
C
`v_T=2/9 (r^2(rho-sigma)g)/(eta)`
`=2/9 xx ((10^(-3))^2 (2.7xx10^3 -10^3)xx9.8)/(8xx10^(-4))` = 4.6 m/s.
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