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A metal ball B(1) (density 3.2 g cm^(-3)...

A metal ball `B_(1)` (density `3.2 g cm^(-3)` )is dropped in water while another metal ball `B_(2)` (density 6.0 g `cm^(-3)` )is dropped in aliquid of density `1.6 g cm^(-3)`. If both the balls have the same diameter and attain the same terminal velocity, the ratio of viscosity of water to that of the liquid is

A

`2.0`

B

`0.5`

C

`4.0`

D

indeterminate due to insufficient data

Text Solution

Verified by Experts

The correct Answer is:
B
`vt_1=vt_2`
`=2/9gr^2/n_w[sigma_1-rho_w]=2/9gr^2/n_l(sigma_2-rho_l)`
`implies n_w/n_l=(sigma_1-rho_w)/(sigma_2-rho_l)=(3.2-1)/(6-1.6)=1/2`
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