Consider three media P, Q and R with refractive indices 1, 1.25, and 1.5 respectively. The medium Q having a thickness of 5 cm is placed between extended media P and R as shown in the figure. An object O is placed at the centre of medium Q. If viewed from medium P near the normal direction, the apparent depth of O is $h_1$. For similar observation from medium R, the apparent depth is $h_2$. The value of $|h_{1}-h_{2}|$, in cm, is: [Image Placeholder]

Consider two circuits, (A) and (B), each having two resistors. One of them has a positive temperature coefficient of resistance, +$\alpha$, while the other one has a negative temperature of coefficient, -$\alpha$, as shown in the figure. The current through these circuits are denoted by $I_{A}$ and $I_{B}$. At initial temperature, the resistance of the two resistors is $R_0$. As the temperature is increased, the correct option that describes the variation of current in these circuits is:

A population of diploid organisms is at Hardy-Weinberg equilibrium. If the frequency of allele A is 0.1, the frequency of AA is

The correct order of solubility of the given salts in water at 298 K is: Salt | $K_{sp}$ at 298 K: AgBr | $5.0\times10^{-13}$, $Zn(OH)_{2}$ | $1.0\times10^{-15}$, $Hg_{2}Cl_{2}$ | $1.3\times10^{-18}$

A protein undergoes reversible thermal denaturation from its initial state N to denatured state D according to $N \rightleftharpoons D$. At $60^{\circ}C$, the concentrations of both N and D are equal at equilibrium, and the standard enthalpy change of denaturation is $666~kJ~mol^{-1}$. The standard entropy change ($\Delta S^{\circ}$ in $kJ~K^{-1}~mol^{-1}$) of the protein upon denaturation at $60^{\circ}C$ is closest to