The magnetic induction at the centre of a current-carrying circular coil of radius $10 \ cm$ is $5 \sqrt{5}$ times the magnetic induction at a point on its axis. The distance of the point from the centre of the coil (in $cm$) is:

In the ground state,an element has $13$ electrons in the $M$ shell. The element is

$A$ and $B$ are ideal gases. The molecular weights of $A$ and $B$ are in the ratio of $1: 4$. The pressure of a gas mixture containing equal weights of $A$ and $B$ is $P \ atm$. What is the partial pressure (in $atm$) of $B$ in the mixture?

The bond energy of $Cl_2$,$Br_2$,and $I_2$ follows the order:

Which of the following are not characteristic features of $Fabaceae$?

Let $S$ be the sample space of the random experiment of throwing simultaneously two unbiased dice with six faces (numbered $1$ to $6$) and let $E_k = \{(a, b) \in S : ab = k\}$ for $k \geq 1$. If $p_k = P(E_k)$ for $k \geq 1$, then which of the following is correct?