What are the products formed when chlorine is passed through an aqueous hypo solution?

$A$ parallel plate capacitor with air between the plates has a capacitance of $9 \, pF$. The separation between its plates is $d$. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant $K_1 = 3$ and thickness $d/3$,while the other one has dielectric constant $K_2 = 6$ and thickness $2d/3$. The new capacitance of the capacitor is .... $pF$.

In the figure shown,the velocities of different blocks are given. The velocity of $C$ is $.........\,m/s$.

The solubility of silver bromide in hypo solution is due to the formation of:

$\int(x+1)^2 e^x d x$ is equal to

The foci of the ellipse $\frac{x^{2}}{16}+\frac{y^{2}}{b^{2}}=1$ and the hyperbola $\frac{x^{2}}{144}-\frac{y^{2}}{81}=\frac{1}{25}$ coincide. Then the value of $b^{2}$ is: