$A$ nucleus at rest splits into two nuclear parts having the same density and radii in the ratio $1 : 2$. Their velocities are in the ratio: (in $: 1$)

If $T$ is the surface tension of a soap solution,the amount of work done in blowing a soap bubble from a diameter $D$ to $2D$ is (in $pi D^2T$)

$20 \text{ mL}$ of $0.1 \text{ M}$ acetic acid is mixed with $50 \text{ mL}$ of potassium acetate. $K_a$ of acetic acid $= 1.8 \times 10^{-5}$ at $27^\circ \text{C}$. Calculate the concentration of potassium acetate if the $pH$ of the mixture is $4.8$. (in $text{ M}$)

If a plant species has $8$ chromosomes in its synergid cells,how many chromosomes will be present in its endosperm?

In the given circuit, the current through the battery is ........ $A$.

If $\bar{a}, \bar{b}, \bar{c}$ are non-coplanar unit vectors such that $\bar{a} \times (\bar{b} \times \bar{c}) = \frac{\bar{b} + \bar{c}}{\sqrt{2}}$,then the angle between $\bar{a}$ and $\bar{b}$ is: