(C) As the sphere floats in the liquid,its weight is equal to the total upthrust force acting on it.Let $V$ be the total volume of the sphere and $\rh

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) As the sphere floats in the liquid,its weight is equal to the total upthrust force acting on it.Let $V$ be the total volume of the sphere and $\rho$ be its density.Weight of the sphere = $V \rho g$Upthrust due to oil = (Volume in oil) $\times$ (Density of oil) $\times g = (V/2) \times 0.8 \times g = 0.4 Vg$Upthrust due to mercury = (Volume in mercury) $\times$ (Density of mercury) $\times g = (V/2) \times 13.6 \times g = 6.8 Vg$Total upthrust = $0.4 Vg + 6.8 Vg = 7.2 Vg$Equating weight and total upthrust:$V \rho g = 7.2 Vg$$\rho = 7.2 \; g/cm^3$

Class 11 Physics Fluid Mechanics and Surface Tension Buoyancy, Archimedes' Principle and Laws of Floatation

Difficult

$A$ vessel contains oil (density = $0.8 \; g/cm^3$) over mercury (density = $13.6 \; g/cm^3$). $A$ homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in $g/cm^3$ is:

IIT 1998 All IIT

A
$3.3$
B
$6.4$
C
$7.2$
D
$12.8$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Fluid Mechanics and Surface Tension

Subtopic

Buoyancy, Archimedes' Principle and Laws of Floatation

Previous Year

IIT 1998 Paper All IIT years →

An iceberg of density $900 \ kg/m^3$ is floating in water of density $1000 \ kg/m^3$. The percentage of the volume of the iceberg outside the water is ...... $\%$

Difficult

View Solution

An iceberg floats in water with part of it submerged. What is the fraction of the volume of the iceberg submerged,if the density of ice is $\rho_{i} = 0.917 \ g \ cm^{-3}$ and the density of water is $\rho_{w} = 1.00 \ g \ cm^{-3}$?

MediumKCET 2020

View Solution

If there were a smaller gravitational effect,which of the following forces do you think would alter in some respect?

Easy

View Solution

$A$ solid sphere of density $\rho_s$ which is $\eta$ $( > 1)$ times lighter than water (density $\rho_w$) is suspended in a water tank by a string tied to its base as shown in the figure. If the mass of the sphere is $m$,then the tension in the string is given by:

Medium

View Solution

$A$ solid cube and a solid sphere,both made of the same material,are completely submerged in water but at different depths. The sphere and the cube have the same surface area. The buoyant force is

DifficultKVPY 2012

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$A$ vessel contains oil (density = $0.8 \; g/cm^3$) over mercury (density = $13.6 \; g/cm^3$). $A$ homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in $g/cm^3$ is:

Similar Questions

An iceberg of density $900 \ kg/m^3$ is floating in water of density $1000 \ kg/m^3$. The percentage of the volume of the iceberg outside the water is ...... $\%$

An iceberg floats in water with part of it submerged. What is the fraction of the volume of the iceberg submerged,if the density of ice is $\rho_{i} = 0.917 \ g \ cm^{-3}$ and the density of water is $\rho_{w} = 1.00 \ g \ cm^{-3}$?

If there were a smaller gravitational effect,which of the following forces do you think would alter in some respect?

$A$ solid sphere of density $\rho_s$ which is $\eta$ $( > 1)$ times lighter than water (density $\rho_w$) is suspended in a water tank by a string tied to its base as shown in the figure. If the mass of the sphere is $m$,then the tension in the string is given by:

$A$ solid cube and a solid sphere,both made of the same material,are completely submerged in water but at different depths. The sphere and the cube have the same surface area. The buoyant force is

Vedclass Test Series

Exam Paper Generator

Online Exam Module