If $S_{n} = 1^3 + 2^3 + \ldots + n^3$ and $T_{n} = 1 + 2 + \ldots + n$,then

$\int_0^{\pi / 2} \sin ^8 x \cos ^2 x \, dx$ is equal to

Which of the following substances is known as lead sugar?

The maximum possible number of real roots of the equation $x^5 - 6x^2 - 4x + 5 = 0$ is

Water rises in a capillary tube of radius $r$ to a height $h$. The mass of water in the capillary is $m$. What will be the mass of water that rises in a capillary tube of radius $\frac{r}{3}$?

Which pair of substances gives the same gaseous product when they react with water?