Consider the following statements for $X = \dot{C}H_3$ and $Y = \dot{C}F_3$:
$(I)$ When $X$ dimerises,the bond angle decreases.
$(II)$ When $X$ dimerises,the bond angle increases.
$(III)$ In the $X-Y$ molecule,the $C-C$ bond length is less than that in the $Y-Y$ molecule.
$(IV)$ The bond angle in $X$ is greater than that in $Y$.

Which phase of the cell cycle is characterized by the replication of $DNA$ and the synthesis of histone proteins?

Carbon,silicon,and germanium have four valence electrons each. These are characterized by valence and conduction bands separated by energy band gaps equal to $(E_{g})_{C}$,$(E_{g})_{Si}$,and $(E_{g})_{Ge}$ respectively. Which of the following statements is true?

What are the products formed when ammonia reacts with excess chlorine?

The origin is translated to $(1,2)$. The point $(7,5)$ in the old system undergoes the following transformations successively.
$I$. Moves to the new point under the given translation of origin.
$II$. Translated through $2$ units along the negative direction of the new $X$-axis.
$III$. Rotated through an angle $\frac{\pi}{4}$ about the origin of the new system in the clockwise direction. The final position of the point $(7,5)$ is

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: