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A gas bubble of 2 cm diameter rises thro...

A gas bubble of 2 cm diameter rises through a liquid `1.75 gm cm^(-3)` with a fixed speed of `0.35 cm s^(-1)`.Naglect the density of the gas. The cofficient of viscosity of the liquid is

A

870 poise

B

1120 poise

C

982 poise

D

1089 poise

Text Solution

Verified by Experts

The correct Answer is:
D
As gas bubble is moving upward with constant spped so Buoyant force=Viscous drag force
`implies F_(b)=F_(v)implies ((4)/(3)pir^(3))rhog=6pietarv`
`implies eta=(2)/(9)(r^(2)rhog)/(v)`
Here, r=1 cm, `rho=1.75 g cm^(-3)`
`g=980 cm s^(-2)`
`v=0.35 cm s^(-1), eta=?`
`therefore eta=(2)/(9)xx(1^(2)xx1.75xx980)/(0.35)=1088.88 ~~1089` poise
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