A block of wood of volume V floats in water w | vedclass

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

Question

(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_{

Vedclass · Accepted Answer

$625 \,kg \,m^{-3}$

Vedclass · Answer

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

$A$ 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

An aluminium sphere is dipped into water. Which of the following is true?

$A$ wooden cube of side $10 \ cm$ floats at the interface between water and oil with its lower surface $3 \ cm$ below the interface. If the density of oil is $0.9 \ g \ cm^{-3}$, the mass of the wooden cube is (in $g$)

$A$ boy has a mass of $60\, kg$. He wants to swim in a river with the help of a wooden log. If the relative density of the wood is $0.6$,what is the minimum volume of the wooden log required? (Density of river water is $1000\, kg/m^3$)

Spheres of iron and lead having the same mass are completely immersed in water. The density of lead is greater than that of iron. If the apparent loss of weight is $w_{1}$ for the iron sphere and $w_{2}$ for the lead sphere,then the ratio $\frac{w_{1}}{w_{2}}$ is:

Assertion $(A)$: $A$ helium-filled balloon does not rise indefinitely in the air but halts after a certain height.
Reason $(R)$: Viscosity opposes the motion of the balloon. Choose any one of the following four responses:

Vedclass Test Series

Exam Paper Generator

Online Exam Module