The total number of nitrogenous bases in the human genome is estimated to be about

When a capacitor is connected in series to an $LR$ circuit,the alternating current flowing in the circuit

The position vectors of $P$ and $Q$ are respectively $\overrightarrow{a}$ and $\overrightarrow{b}$. If $R$ is a point such that $\overrightarrow{PR}=5 \overrightarrow{PQ}$,then the position vector of $R$ is

$A$ segment of wire vibrates with a fundamental frequency of $450 ~Hz$ under a tension of $9 ~kg-wt$. The tension at which the fundamental frequency of the same wire becomes $900 ~Hz$ is

Considering ideal gas behavior, the expansion work done $(in kJ )$ when $144 g$ of water is electrolyzed completely under constant pressure at $300 K$ is $...$ .
Use: Universal gas constant $( R )=8.3 J K ^{-1} mol^{-1}$; Atomic mass $($in amu$)$: $H =1, O =16$

The frequency of a light ray is $6 \times 10^{14} \ Hz$. Its frequency when it propagates in a medium of refractive index $1.5$ will be: