(A) body sinks in a liquid when its weight $(W)$ is greater than the buoyant force $(F_B)$ acting on it.Mathematically,let $\rho_b$ be the density of

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When the density of the body is greater than the density of the liquid.

(A) body sinks in a liquid when its weight $(W)$ is greater than the buoyant force $(F_B)$ acting on it.Mathematically,let $\rho_b$ be the density of the body and $\rho_l$ be the density of the liquid.The weight of the body is $W = V \rho_b g$,where $V$ is the volume of the body.The buoyant force is $F_B = V \rho_l g$.For the body to sink,$W > F_B$.Substituting the expressions,$V \rho_b g > V \rho_l g$,which simplifies to $\rho_b > \rho_l$.Therefore,a body sinks if the density of the body is greater than the density of the liquid.

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

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When does a body sink in a liquid? Explain.

A
When the density of the body is greater than the density of the liquid.
B
When the density of the body is equal to the density of the liquid.
C
When the density of the body is less than the density of the liquid.
D
When the weight of the body is equal to the buoyant force.

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Fluid Mechanics and Surface Tension

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Buoyancy, Archimedes' Principle and Laws of Floatation

An air bubble of radius $1\,cm$ in water has an upward acceleration of $9.8\,cm\,s^{-2}$. The density of water is $1\,g\,cm^{-3}$ and water offers negligible drag force on the bubble. The mass of the bubble is $.......g$.
$(g = 980\,cm\,s^{-2})$

DifficultJEE MAIN 2020

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$A$ wooden block of volume $1000\, cm^3$ is suspended from a spring balance. It weighs $12\, N$ in air. It is suspended in water such that half of the block is below the surface of water. The reading of the spring balance is ...... $N$.

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$A$ wax candle floats vertically in a liquid of density twice that of wax. The candle burns at the rate of $4\ cm/hr$. Then, with respect to the surface of the liquid, the upper end of the candle will:

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$A$ cubical block of density $\rho$ is floating on the surface of water. Out of its height $L$,a fraction $x$ is submerged in water. The vessel is in an elevator accelerating upward with acceleration $a$. What is the fraction immersed?

Medium

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$A$ concrete sphere of radius $R$ has a cavity of radius $r$ which is packed with sawdust. The specific gravities of concrete and sawdust are $2.4$ and $0.3$ respectively. For this sphere to float with its entire volume submerged under water,the ratio of the mass of concrete to the mass of sawdust will be:

DifficultAIIMS 1995

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When does a body sink in a liquid? Explain.

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An air bubble of radius $1\,cm$ in water has an upward acceleration of $9.8\,cm\,s^{-2}$. The density of water is $1\,g\,cm^{-3}$ and water offers negligible drag force on the bubble. The mass of the bubble is $.......g$.$(g = 980\,cm\,s^{-2})$

$A$ wooden block of volume $1000\, cm^3$ is suspended from a spring balance. It weighs $12\, N$ in air. It is suspended in water such that half of the block is below the surface of water. The reading of the spring balance is ...... $N$.

$A$ wax candle floats vertically in a liquid of density twice that of wax. The candle burns at the rate of $4\ cm/hr$. Then, with respect to the surface of the liquid, the upper end of the candle will:

$A$ cubical block of density $\rho$ is floating on the surface of water. Out of its height $L$,a fraction $x$ is submerged in water. The vessel is in an elevator accelerating upward with acceleration $a$. What is the fraction immersed?

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An air bubble of radius $1\,cm$ in water has an upward acceleration of $9.8\,cm\,s^{-2}$. The density of water is $1\,g\,cm^{-3}$ and water offers negligible drag force on the bubble. The mass of the bubble is $.......g$.
$(g = 980\,cm\,s^{-2})$