A ball is made of a material of density p where p("oil") < p

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Similar Practice Problems

Question 1 - Select One
A ball is made of a material of density $ρ$ where $ρ_{oil} < ρ < ρ_{water}$ with $ρ_{water}$ representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium positions?
A
B
C
D
Question 1 - Select One
A ball is made of a material of density $ρ$ where $ρ_{o i l} < ρ < ρ_{w a t e r}$ with $ρ_{o i l}$ and $ρ_{w a t e r}$ representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position?
A(a)
B(b)
C(c)
D(d)
Question 1 - Select One
A solid spherical ball and a hollow spherical ball of two different materials of densities $p_{1}$ and $p_{2}$ respectively have same outer radii and same mass. What will be the ratio the moment of inertia (about an axis passing through the centre) of the hollow sphere to that of the solid sphere?
A $\frac{p_{2}}{p_{1}} {(1 - \frac{p_{2}}{p_{1}})}^{\frac{5}{3}}$
B $\frac{p_{2}}{p_{1}} ⎡ ⎣ 1 - {(1 - \frac{p_{2}}{p_{1}})}^{\frac{5}{3}} ⎤ ⎦$
C $\frac{p_{2}}{p_{1}} {(1 - \frac{p_{1}}{p_{2}})}^{\frac{5}{3}}$
D $\frac{p_{2}}{p_{1}} ⎡ ⎣ 1 - {(1 - \frac{p_{1}}{p_{2}})}^{\frac{5}{3}} ⎤ ⎦$
Question 1 - Select One
A vessel contains oil (density $= 13.6 g m / c m^{3}$ ). A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in $g m / c m^{3}$ is:
A3.3
B6.4
C7.2
D $12.8$
Question 1 - Select One
The compressibility of a material is B.A cube of side 'a' is made with this material. If a uniform pressure P is applied on the cube from all the sides the fractional change in its length will be
A2P/B
BPB/3
CPB
DB/3P

The correct Answer is:C

Given $p_{oil} < p < p_{water}$
p oil is most lighter while water most heavier.
So correct choice is (c).

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Similar Practice Problems

A solid spherical ball and a hollow spherical ball of two different materials of densities $p_{1}$ and $p_{2}$ respectively have same outer radii and same mass. What will be the ratio the moment of inertia (about an axis passing through the centre) of the hollow sphere to that of the solid sphere?

A vessel contains oil (density $= 13.6 g m / c m^{3}$ ). A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in $g m / c m^{3}$ is:

The compressibility of a material is B.A cube of side 'a' is made with this material. If a uniform pressure P is applied on the cube from all the sides the fractional change in its length will be

Similar Questions

MODERN PUBLICATION-PROPERTIES OF MATTER-MULTIPLE CHOICE QUESTIONS (LEVEL-II)

The correct Answer is:C

Given poil<p<pwater p oil is most lighter while water most heavier. So correct choice is (c).

Related Playlists

Similar Practice Problems

A solid spherical ball and a hollow spherical ball of two different materials of densities p1 and p2 respectively have same outer radii and same mass. What will be the ratio the moment of inertia (about an axis passing through the centre) of the hollow sphere to that of the solid sphere?

A vessel contains oil (density =13.6gm/cm3). A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in gm/cm3 is:

The compressibility of a material is B.A cube of side 'a' is made with this material. If a uniform pressure P is applied on the cube from all the sides the fractional change in its length will be

Similar Questions

MODERN PUBLICATION-PROPERTIES OF MATTER-MULTIPLE CHOICE QUESTIONS (LEVEL-II)

Given $p_{oil} < p < p_{water}$
p oil is most lighter while water most heavier.
So correct choice is (c).

A solid spherical ball and a hollow spherical ball of two different materials of densities $p_{1}$ and $p_{2}$ respectively have same outer radii and same mass. What will be the ratio the moment of inertia (about an axis passing through the centre) of the hollow sphere to that of the solid sphere?

A vessel contains oil (density $= 13.6 g m / c m^{3}$ ). A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in $g m / c m^{3}$ is: