Which of the following reagents convert the propene to $1-$propanol?

If $\int \frac{d x}{x(\log x-2)(\log x-3)}=I+C$,then $I$ is equal to

The voltage of an $ac$ source varies with time according to the equation $V = 100 \sin(100 \pi t) \cos(100 \pi t)$,where $t$ is in seconds and $V$ is in volts. Then:

In which of the following arrangements,the order is not correct according to the property indicated against it?

When a glass prism of refracting angle $60^{\circ}$ is immersed in a liquid,its angle of minimum deviation is $30^{\circ}$. The critical angle of glass with respect to the liquid medium is (in $^{\circ}$)

The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is