Home
Class 11
PHYSICS
if a ball of steel (density rho=7.8 g//c...

if a ball of steel (density `rho=7.8 g//cm^(3)`) attains a terminal velocity of `10 cm//s` when falling in a tank of water (coefficient of viscosity, `eta_(water) =8.5xx10^(-4)`Ps s), then its terminal velocity in glycerine `(rho =1.2 g//cm^(2), eta =13.2 Pa s)` would be nearly

A

`6.25 xx 10^(-4)cms^(-1)`

B

`6.45 xx 10^(-4) cms^(-1)`

C

`1.5 xx 10^(-5) cm//s`

D

`1.6 xx 10^(-5) cms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`V_rhog = 6pietarv + vrho_(l)g`
`Vg(rho - rho_(l)) = 6pietarv`
`Vg(rho - rho_(l)) = 6pieta'rv'`
`V'eta' = ((rho - rho_(l)'))/((rho - rho_(l))) xx (veta)/(eta')`
`= ((7.8 xx 1.2))/((7.8 - 1)) xx (10 xx 8.5 xx 10^(-4))/(13.2)`
`v' = 6.25 xx 10^(-4) cm//s`.
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Advanced Level Problems|9 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Exercise- 3 PART - I|7 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 92 illustration|2 Videos

  • ELECTROMAGNETIC INDUCTION

    RESONANCE|Exercise Exercise|43 Videos

Similar Questions

Explore conceptually related problems

A rain drop of radius 0.5 mm has a terminal velocity in air 2 m/s. If the coefficient of viscosity of air is 1.8xx10^(-4) poise, the viscous drag on the rain drop will be

A drop of water of radius 0.0015 mm is falling in air. If the coefficient of viscosity of air is 1.8xx10^(-8)kgm^(-1)s^(-1) what will be the terminal velocity of the drop. Density of air can be neglected.

A drop of water of radius 0.0015 mm is falling in air .If the cofficient of viscosity of air is 2.0 xx 10^(-5) kg m^(-1)s^(-1) ,the terminal velocity of the drop will be (The density of water = 10^(3) kg m^(-3) and g = 10 m s^(-2) )

A drop of water of radius 0.001 mm is falling in air. If the coeffcient of viscosity of air is 1.8 xcx 10^(-5) kg m^(-1) s^(-1) , what will be the terminal velocity of the drop? Neglect the density of air.

Find the terminal velocity of a rain drop of radius 0.01 mm. The coefficient of viscosity of air is 1.8xx10^-5 N-sm^-2 and its density is 1.2kgm^-3 .Density of water =1000kgm^-3 . Take g=10ms^-2

If an oil drop of density 0.95xx10^(3)kg//m^(3) and radius 10^(-4) cm is falling in air whose density is 1.3 kg//m^(3) and coefficient of viscosity is 18xx10^(-6)kg//(m-s) . Calculate the terminal speed of the drop.

A lead sphere of 1.0 mm diameter and relative density 11.20 attains a terminal velocity of 0.7 cm s^(-1) in a liquid of relative density 1.26 . Determine the coefficient of dynamic viscosity of the liquid.

Water is flowing in a pipe of radius 1.5 cm with an average velocity 15 cm s^(-1) . What is the nature of flow? Given coefficient of viscosity of water is 10^(-3) kg m^(-1) s^(-1) and its density is 10^(3) kg m^(-3)

find the terminal velocity of a steel ball 2mm in diameter falling through glycerine. Relative density of steel =8, relative density of glycerine =1.3 and viscosity of glycerine=8.3 poise.