For a gas,the deviation from ideal behavior is maximum at:

Match List-$I$ with List-$II$ :

List-$I$ (Defects)	List-$II$ (Shown by)
$a$. Frenkel defect	$i$. Non-ionic solids and density of the solid decreases
$b$. Schottky defect	$ii$. Non-ionic solids and density of the solid increases
$c$. Vacancy defect	$iii$. Ionic solids and density of the solid decreases
$d$. Interstitial defect	$iv$. Ionic solids and density of the solid remains constant

Choose the correct answer from the options given below :

For positive numbers $x, y, \text{ and } z$,the numerical value of the determinant $\left| \begin{array}{ccc} 1 & \log_x y & \log_x z \\ \log_y x & 1 & \log_y z \\ \log_z x & \log_z y & 1 \end{array} \right|$ is

Consider the following statements regarding the major pigments and stored food in the different groups of algae and select the correct option.
$I.$ In Chlorophyceae, the stored food material is starch and the major pigments are chlorophyll-$a$ and chlorophyll-$b$.
$II.$ In Phaeophyceae, laminarin is the stored food and major pigments are chlorophyll-$a$ and chlorophyll-$c$.
$III.$ In Rhodophyceae, floridean starch is the stored food and major pigments are chlorophyll-$a$, $d$ and phycoerythrin.

$M_p$ denotes the mass of a proton and $M_n$ denotes the mass of a neutron. $A$ given nucleus,of binding energy $B$,contains $Z$ protons and $N$ neutrons. The mass $M(N, Z)$ of the nucleus is given by ($c$ is the velocity of light):

$A$ homogeneous equation of second degree in $x$ and $y$ represents which of the following?