Class 12th

In the circuit shown, charge on the $5\mu \mathrm{F}$ $$ capacitor is:

The rate of a certain biochemical reaction at physiological temperature (T) occurs ${10}^6$ ${}^{}$ times faster with enzyme than without. The change in the activation energy upon adding enzyme is :

The major product of the following reaction is :

Two coherent sources of sound, $S_1$ ${}_{}$ and $S_2$ ${}_{}$ produce source waves of the same wavelength, $\lambda =1\mathrm{m}$ $$ , in phase. $S_1$ ${}_{}$ and ${\mathrm{S}}_2$ ${}_{}$ are placed $1.5\mathrm{m}$ $$ apart (see fig). A listener located at $\mathrm{L}$ $$ , directly in front of $S_2$ ${}_{}$ finds that the intensity is at a minimum when he is $2\mathrm{m}$ $$ away from ${\mathrm{S}}_2$ ${}_{}$ . The listener moves away from $S_1$ ${}_{}$ , keeping his distance from $S_2$ ${}_{}$ fixed. The adjacent maximum of intensity is observed when the listener is at a distance $d$ $$ from ${}_{}$ $S_1$ . Then, $d$ $$ is:

The most suitable reagent for the given conversion is :

As per Hardy-Schulze formulation, the flocculation values of the following for ferric hydroxide sol are in the order :

Let $\vec{a},\vec{b}$ and $\vec{c}$ be three unit vectors such that $\vec{a}+\vec{b}+\vec{c}=\vec{0}$ . If $\lambda =\vec{a}\cdot \vec{b}+\vec{b}\cdot \vec{c}+\vec{c}\cdot \vec{a}$ and $\vec{d}=\vec{a}*\vec{b}+\vec{b}*\vec{c}+\vec{c}*\vec{a}$ , then the ordered pair, $(\lambda ,\vec{d})$ is equal to: 

The area (in sq. units of the region $\left\{(x,y)\in R^2\mid 4x^2\le y\le 8x+12\right\}$  is:

The major products $A$ $$ and $$ $B$ in the following reactions are :

A graph of vapour pressure and temperature for three different liquids $$ , and $$ is shown below:

The following inferences are made :

$\mathrm{X}$ has higher intermolecular interactions compared to $Y$

$X$ has lower intermolecular interactions compared to   $Y$ $$

$Z$ has lower intermolecular interactions compared to $Y$ $$

The correct inference (s) is / are :