A spherical solild of volume V is made o...

A spherical solild of volume V is made of a material of density `rho_(1)`. It is falling through a liquid of density `rho_(2)(rho_(2) lt rho_(1))`. Assume that the liquid applies a viscous froce on the ball that is proportional ti the its speed v, i.e., `F_(viscous)=-kv^(2)(kgt0)`. The terminal speed of the ball is

`sqrt((Vg(rho_(1)-rho_(2))/(k))`

`(Vgrho_(1))/(k)`

`sqrt((Vgrho_(1))/(k))`

`(Vg(rho_(1)-rho_(2))/(k))`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ELASTICITY, SURFACE TENSION AND FLUID MECHANICS
ALLEN|Exercise Exercise 5 B (MCQ)|13 Videos
ELASTICITY, SURFACE TENSION AND FLUID MECHANICS
ALLEN|Exercise Exercise 5 B (Multiple correct answers)|2 Videos
ELASTICITY, SURFACE TENSION AND FLUID MECHANICS
ALLEN|Exercise Exercise 4 B (Bran storming Subjective Exercise)|15 Videos
CENTRE OF MASS
ALLEN|Exercise EXERCISE-V B|19 Videos
ERROR AND MEASUREMENT
ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A spherical solid ball of volume V is made of a material of density rho_1 . It is falling through a liquid of density rho_2(rho_2ltrho_1) . Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e., F_(viscous)=-kv^2(kgt0) . The terminal speed of the ball is

A solid ball of density rho_(1) and radius r falls vertically through a liquid of density rho_(2) . Assume that the viscous force acting on the ball is F = krv , where k is a constant and v its velocity. What is the terminal velocity of the ball ?

A ball of density rho is released from deep inside of a liquid of density 2 rho . It will move up

A body weighs W_(1) in a liquid of density rho_(1) and W_(2) in a liquid of density rho_(2) . What is the weight of body in a liquid of density rho_(3) ?

A stream line body with relative density rho_(1) falls into air from a height h_(1) on the surface of a liquid of realtive density rho_(2) , where rho_(2) gt rho_(1) . Find the time of immersion of the body into the liquid.

A ball of density rho is dropped from a height on the suraca of a non-visous liquid of dinsity 2rho . Choose the correct options.

The terminal velocity V of a spherical ball of lead of radius R falling through a viscous liquid varies with R such that

A ball of volume V and density rho_(1) is moved downwards by a distance 'd' in liquid of density rho_(2) . Find total change in potential energy of the system.

A block of material has a density rho_(1) and floats three-fourth submerged in a liquid of unknown density. Show tht the density rho_(2) of the unknown liquid is given by rho_(2)=(4)/(3)rho_(1) .

A small ball of mass m and density rho is dropped in a viscous liquid of density sigma . Ather some time the ball falls with a constant velocity. Calculate the viscous force acting on the ball.

ALLEN-ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 5 A (Previous year Questions)

A 20 cm long capillary tube is dipped in water. The water rises up to ...
Text Solution
|
If the terminal speed of a sphere of gold (density =19.5kg//m^3) is 0....
Text Solution
|
A spherical solild of volume V is made of a material of density rho(1)...
Text Solution
|
A jar is filled with two non-mixing liquids 1 and 2 haivng densities r...
Text Solution
|
A capillary tube (A) is dipped in water. Another identical tube (B) is...
Text Solution
|
A spherical solild of volume V is made of a material of density rho(1)...
Text Solution
|
Two wires are made of the same material and have the same volume. Howe...
Text Solution
|
A ball is made of a material of density rho where rho(oil)ltrholtrho(w...
Text Solution
|
Water is flowing continuously from a tap having an internal diameter 8...
Text Solution
|
Work done in increasing the size of a soap bubble from a radius of 3cm...
Text Solution
|
Two mercury drops (each of radius r) merge to form a bigger drop. The ...
Text Solution
|
if a ball of steel (density rho=7.8 g//cm^(3)) attains a terminal velo...
Text Solution
|
A thin liquid film formed between a U-shaped wire and a light slider s...
Text Solution
|
There is a circular tube in a vertical plane. Two liquids which do not...
Text Solution
|
On heating water, bubbles being formed at the bottom of the vessel det...
Text Solution
|
If it takes 5 minutes to fill a 15 litre bucket from a water tap diame...
Text Solution
|
If two glass plates have water between them and are separated by very ...
Text Solution
|
Consider a water jar of radius R that has water filled up to height H ...
Text Solution
|
A uniformly tapering conical wire is mae from a material of young's mo...
Text Solution
|
A simple pendulum made of bob of mass m and a metallic wire of neglig...
Text Solution
|