$CrO_3$ dissolves in aqueous $NaOH$ to give:

The half-life of a radioactive isotope $X$ is $50 \, years$. It decays to another element $Y$ which is stable. The two elements $X$ and $Y$ were found to be in the ratio of $1 : 15$ in a sample of a given rock. The age of the rock was estimated to be ........ $years$.

In the circuit shown in the given figure,the resistances $R_1$ and $R_2$ are respectively:

If the plane $7x + 11y + 13z = 3003$ meets the coordinate axes at $A, B, C$, then the centroid of the $\triangle ABC$ is

What is the primary purpose of data entry in the context of mathematical analysis?

The period of the function $f(\theta) = \sin \frac{\theta}{3} + \cos \frac{\theta}{2}$ is (in $\pi$)