For a binomial variate $X$ with $n=6$, if $P(X=2)=9 P(X=4)$, then its variance is

Which of the following hormones does not naturally occur in plants?

$A$ body constrained to move along the $y$-axis is subjected to a constant force $\vec{F} = -\hat{i} + 2\hat{j} + 3\hat{k} \, \text{N}$. The work done by this force in moving the body a distance of $4 \, \text{m}$ along the $y$-axis is ............... $\text{J}$.

Let $g$ be the acceleration due to gravity at the Earth's surface and $K$ be the rotational kinetic energy of the Earth. Suppose the Earth's radius decreases by $2\%$ while keeping all other quantities the same,then:

$A$ network of four capacitors with capacitances $C_1 = C$,$C_2 = 2C$,$C_3 = 3C$,and $C_4 = 4C$ is connected to a battery of potential $V$ as shown in the figure. The ratio of the charges on $C_2$ and $C_4$ is

Which of the following reactants can be reduced by $SO_2$?
$I$. $O_3 \to$ product
$II$. $Cr_2O_7^{2-} \xrightarrow{H^{+}} $ product
$III$. $MnO_4^- \xrightarrow{H^{+}} $ product
$IV$. $H_2S \longrightarrow $ product