Hydrated $AlCl_3$ is used as:

$\int_0^{\pi / 2} \frac{200 \sin x+100 \cos x}{\sin x+\cos x} d x$ is equal to (in $\pi$)

$A$ disc of radius $R$ and thickness $\frac{R}{6}$ has moment of inertia $I$ about an axis passing through its centre and perpendicular to its plane. The disc is melted and recast into a solid sphere. The moment of inertia of the sphere about its diameter is

$A$ force of $100 \ dynes$ acts on a mass of $5 \ g$ for $10 \ s$. The velocity produced is .......... $cm/s$.

The perpendicular distance from the point $(1, \pi)$ to the line joining $(1, 0^{\circ})$ and $(1, \frac{\pi}{2})$ (in polar coordinates) is:

Power delivered by the $ac$ source of the circuit becomes maximum when