Which of the following organelles contains hydrolytic enzymes?

$A$ rigid body is rotating with variable angular velocity $\omega = (a - bt)$ at any instant of time $t$. The total angle subtended by it before coming to rest will be ($a$ and $b$ are constants).

Which of the following is not a synthetic polymer?

The heat evolved in the combustion of methane is given by the following equation:
$CH_{4(g)} + 2O_{2(g)} \to CO_{2(g)} + 2H_2O_{(l)};$
$\Delta H = -890.3 \, kJ$
How many grams of methane would be required to produce $445.15 \, kJ$ of heat of combustion?

Which of the following is the most stable carbocation?

The area (in sq unit) of the region bounded by the curves $2x = y^2 - 1$ and $x = 0$ is