The number of ways of arranging $8$ men and $4$ women around a circular table such that no two women can sit together is

The cross-sectional area of all wires is $10^{-4} \, m^2$. What is the displacement of point $C$?

$A$ thin spherical conducting shell of radius $R$ has a charge $q$. Another charge $Q$ is placed at the centre of the shell. The electrostatic potential at a point $P$ at a distance $R/2$ from the centre of the shell is

$Cl_2 + \mathop{NaOH}\limits_{(\text{dil and cold})} \longrightarrow A + B + H_2O$. The anions of $A$ and $B$ are respectively . . . . . . .

The cause of the potential barrier in a $P-N$ junction diode is

One of the parents of a cross has a mutation in its mitochondria. In that cross,that parent is taken as a male. During segregation of $F_{2}$-progenies,that mutation is found in: