Hydrolysis of sucrose with dilute aqueous sulphuric acid yields

$A$ big liquid drop splits into $n$ similar small drops under isothermal conditions. Then, in this process:

If $z=\log (\tan x+\tan y)$, then $(\sin 2x) \frac{\partial z}{\partial x}+(\sin 2y) \frac{\partial z}{\partial y}$ is equal to

When one end of a capillary tube is dipped in water,the height of the water column is $h$. The upward force of $105 \text{ dyne}$ due to surface tension is balanced by the force due to the weight of the water column. What is the inner circumference of the capillary (in $\text{ cm}$)? (Surface tension of water $= 7 \times 10^{-2} \text{ N m}^{-1}$)

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

Which one of the following pairs of compounds illustrates the law of multiple proportions?