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A metal plate of area 20 cm^2, is separa...

A metal plate of area 20 `cm^2`, is separated from a large plate by a layer of glycerine I mm thick. The coefficient of Viscosity of the glycerine is 20 poise. What is the honz?ntal force required to keep the plate moving with a velocity of 2 cm/s?
[poise=`10^(-1)N-s//m^2`]

A

0.4 N

B

0.05 N

C

0.06 N

D

0.08 N

Text Solution

Verified by Experts

The correct Answer is:
C
Force F`=etaA(dv)/(dy)` (By Newton's formula)
But A=20 `cm^2=20xx10^(-4)m^2`
and `eta=20" Poise"=20xx10^(-1)N-s//m^2`
dv=2cm=`2xx10^(-2)m//s`
and dy=1mm=`1xx10^(-3)m`
`:." "F=(20xx10^(-1)xx20xx10^(-4)xx2xx10^(-2))/(10^(-3))`
`:." "F=8xx10^(-2)=0.08N`
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