In the following circuit,find $i_1$ and $i_2$.

Justify the position of hydrogen in the periodic table on the basis of its electronic configuration.

If $\int e^x \left( \frac{1-\sin x}{1-\cos x} \right) dx = f(x) + \text{constant}$,then $f(x)$ is equal to

The Phthalein test is a characteristic test for which of the following?

$A$ magnet freely suspended in a vibration magnetometer makes $40$ oscillations per minute at place $A$ and $20$ oscillations per minute at a place $B$. If the horizontal component of earth's magnetic field at $A$ is $36 \times 10^{-6} ~T$,then its value at $B$ is

The angle between the tangents drawn from the point $(1,4)$ to the parabola $y^2=4x$ is