$e^{\log (\cosh^{-1} 2)}$ is equal to :

$A$ big liquid drop splits into $n$ similar small drops under isothermal conditions. Then, in this process:

Explain the structures of diborane and boric acid.

The maximum value of $ \left(\frac{1}{x}\right)^{x} $ is

If $a \sin^2 \theta + b \cos^2 \theta = c$,then $\tan^2 \theta$ is equal to

Two tuning forks $A$ and $B$ produce $8\ Hz$ beats per second when sounded together. $A$ gas column $37.5\ cm$ long in a pipe closed at one end resonates in its fundamental mode with fork $A$,whereas a column of length $38.5\ cm$ of the same gas in a similar pipe is required for a similar resonance with fork $B$. The frequencies of these two tuning forks are: