A body floats in liquid A of density - 1 with a part of it submerged while in liquid B of density - 2- it floats with total body submerged- The densities - 1 and - 2 are related as

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Floatation

A body floats...

Question

A body floats in liquid A of density $ρ_{1}$ with a part of it submerged while in liquid B of density $ρ_{2}$ , it floats with total body submerged. The densities $ρ_{1}$ and $ρ_{2}$ are related as

$ρ_{1}$ = $ρ_{2}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$ρ_{1}$ < $ρ_{2}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$ρ_{1}$ > $ρ_{2}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

nothing can be said.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
$ρ_{1}$ > $ρ_{2}$

In both the cases, the weight of the body is the same. In liquid A, the volume of the liquid displaced is smaller. The weight of the displaced liquid is equal to the weight of the object. So, in liquid A, a lesser volume of the liquid has weight that is equal to the weight of the object i.e. $ρ_{1}$ > $ρ_{2}$ .

Suggest Corrections

Similar questions

Q. A body floats in a liquid

A

of density

ρ_{1}

with a part of it submerged inside liquid while in liquid

B

of density

ρ_{2}

totally submerged inside liquid. the densities

ρ_{1}

and

ρ_{2}

are related as:

Q. A body of density

ρ

floats with a volume

V_{1}

of its total volume V immersed in one liquid of density

ρ_{1}

and with the remainder of volume

V_{2}

immersed in another liquid of density

ρ_{2}

where.

ρ_{1} > ρ_{2}

find

V_{1}

and

V_{2}

Q. A block of material has a density

ρ_{1}

and floats three-fourth submerged in a liquid of unknown density. Show that the density

ρ_{2}

of the unknown liquid is given by

ρ_{2} = \frac{4}{3} ρ_{1}

Q. A solid sphere of volume

V

and density

ρ

floats at the interface of two immiscible liquids of densities

ρ_{1}

and

ρ_{2}

respectively. If

ρ_{1} < ρ < ρ_{2}

then the ratio of volume of the parts of the sphere in upper and lower liquid is:

Q. A sphere of radius

R

and density

ρ_{1}

is dropped in a liquid of density

σ

. Its terminal velocity is

v_{1}

. If another sphere of radius

R

and density

ρ_{2}

is dropped in the same liquid, its terminal velocity will be:

Join BYJU'S Learning Program

A body floats in liquid A of density ρ1 with a part of it submerged while in liquid B of density ρ2, it floats with total body submerged. The densities ρ1 and ρ2 are related as

A body floats in liquid A of density $ρ_{1}$ with a part of it submerged while in liquid B of density $ρ_{2}$ , it floats with total body submerged. The densities $ρ_{1}$ and $ρ_{2}$ are related as