(D) For a floating object, the weight of the object equals the weight of the displaced fluid. This is given by the principle: $\rho_s V g = \rho_f V_{

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

(D) For a floating object, the weight of the object equals the weight of the displaced fluid. This is given by the principle: $\rho_s V g = \rho_f V_{sub} g$, where $\rho_s$ is the density of the solid, $\rho_f$ is the density of the fluid, and $V_{sub}$ is the submerged volume.$1$. In water: $\rho_s V g = \rho_w (0.5 V) g$. Given $\rho_w = 1000 \,kg \,m^{-3}$, we have $\rho_s = 0.5 \times 1000 = 500 \,kg \,m^{-3}$.$2$. In oil: $\rho_s V g = \rho_{oil} (0.8 V) g$. Substituting $\rho_s = 500 \,kg \,m^{-3}$, we get $500 = 0.8 \times \rho_{oil}$.Therefore, $\rho_{oil} = \frac{500}{0.8} = 625 \,kg \,m^{-3}$.

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

Easy

$A$ block of wood of volume $V$ floats in water with half of its volume submerged. The same block floats in an oil with $0.8 \,V$ volume submerged. If the density of water is $1000 \,kg \,m^{-3}$, then the density of the oil is

AP EAMCET 2022 All AP EAMCET

A
$800 \,kg \,m^{-3}$
B
$600 \,kg \,m^{-3}$
C
$550 \,kg \,m^{-3}$
D
$625 \,kg \,m^{-3}$

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

AP EAMCET 2022 Paper All AP EAMCET years →

$A$ cone of radius $R$ and height $H$ is hanging inside a liquid of density $\rho$ by means of a string,as shown in the figure. The force due to the liquid acting on the slant surface of the cone is:

View Solution

$A$ glass flask weighing $390 \ g$,having an internal volume of $500 \ cm^3$,just floats when half of it is filled with water. The specific gravity of the glass is:

MediumAP EAMCET 2021

View Solution

$A$ man is carrying a block of a certain substance (of density $1000 \,kg/m^3$) weighing $1 \,kg$ in his left hand and a bucket filled with water and weighing $10 \,kg$ in his right hand. He drops the block into the bucket. How much load does he carry in his right hand now (in $,kg$)?

Easy

View Solution

An object suspended by a wire stretches it by $10 \,mm$. When the object is immersed in a liquid,the elongation in the wire reduces by $\frac{10}{3} \,mm$. The ratio of the relative densities of the object and the liquid is ............

Medium

View Solution

$A$ solid cube is floating in a liquid. The coefficient of linear expansion of the cube is $\alpha$ and the coefficient of volume expansion of the liquid is $\gamma$. On increasing the temperature of the (liquid + cube) system,the cube will sink if

Medium

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

$A$ block of wood of volume $V$ floats in water with half of its volume submerged. The same block floats in an oil with $0.8 \,V$ volume submerged. If the density of water is $1000 \,kg \,m^{-3}$, then the density of the oil is

Similar Questions

$A$ cone of radius $R$ and height $H$ is hanging inside a liquid of density $\rho$ by means of a string,as shown in the figure. The force due to the liquid acting on the slant surface of the cone is:

$A$ glass flask weighing $390 \ g$,having an internal volume of $500 \ cm^3$,just floats when half of it is filled with water. The specific gravity of the glass is:

$A$ man is carrying a block of a certain substance (of density $1000 \,kg/m^3$) weighing $1 \,kg$ in his left hand and a bucket filled with water and weighing $10 \,kg$ in his right hand. He drops the block into the bucket. How much load does he carry in his right hand now (in $,kg$)?

An object suspended by a wire stretches it by $10 \,mm$. When the object is immersed in a liquid,the elongation in the wire reduces by $\frac{10}{3} \,mm$. The ratio of the relative densities of the object and the liquid is ............

$A$ solid cube is floating in a liquid. The coefficient of linear expansion of the cube is $\alpha$ and the coefficient of volume expansion of the liquid is $\gamma$. On increasing the temperature of the (liquid + cube) system,the cube will sink if

Vedclass Test Series

Exam Paper Generator

Online Exam Module