$A$ gas cylinder can withstand a pressure of $15 \, atm$. The pressure in the cylinder is $12 \, atm$ at $27 \, ^oC$. Up to what temperature in $^oC$ will the cylinder not burst?

The objective and eyepiece of an astronomical telescope are double convex lenses with refractive index $1.5$. When the telescope is adjusted to infinity,the separation between the two lenses is $16 ~cm$. If the space between the lenses is now filled with water (refractive index $4/3$) and the telescope is again adjusted for infinity,then the present separation between the lenses is: (in $~cm$)

The $IUPAC$ name for the complex $[Co(NO_2)(NH_3)_5]Cl_2$ is:

The magnitude of displacement of a particle moving in a circle of radius $a$ with constant angular speed $\omega$ varies with time $t$ as

State the characteristic features of Kingdom Monera.

$A$ bucket filled with water is tied to a rope of length $0.5 ~m$ and is rotated in a circular path in a vertical plane. The minimum velocity it should have at the lowest point of the circle so that the water does not spill is,$(g = 10 ~m/s^2)$.