A ball is made of a material of density p where $p_{\text{oil}}$ < p < $P_{\text{water}}$ with $p_{\text{oil}}$ and $p_{\text{water}}$ 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 position ?

A ball is made of a material of density $\rho$ where ${\rho }_{\text{oil}}<\rho <{\rho }_{\text{water}}$ with ${\rho }_{\text{water}}$ 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 ball is made of a material of density $\rho$ where ${\rho }_{oil}<\rho <{\rho }_{water}$ with ${\rho }_{oil}$ and ${\rho }_{water}$ 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 position?

A ball is made of a material of density $\rho$ where ${\rho }_{oil}<\rho <{\rho }_{water}$ with ${\rho }_{oil}$ and ${\rho }_{water}$ 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 position?

A planet is made of two materials of density $p_1$ and $p_2$ as shown in figure. Th acceleration due to gravity at surface of planet is same as a depth 'R'. The ratio of $\frac{p_1}{p_2}$ is $\frac{a}{b}$. Find value of $\frac{a^b+1}{86}$ ($a$ and $b$ are lowest possible integers)

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 $=13.6gm/c{m}^3$). 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 $gm/c{m}^3$ 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

A copper(density of Cu=$p_c$) ball of diameter dis innnersed in oil of density $p_0$ . What is the charge on the ball if, in a homogeneous elecltric field E directed vertically upward, it is suspended in the oil ?$(k=\pi d^3\frac{p_{c}g}{E})$ :

A $p-n$ photodiode is made of a material with a band gap of $2.0eV$. The minimum frequency of the radiation that can be absorbed by the material is nearly

A $p-n$ photodiode is made of a material with a band gap of $2.0eV$. The minimum frequency of the radiation that can be absorbed by the material is nearly