What is the volume (in litres) of oxygen at $STP$ required for complete combustion of $32 \ g$ of $CH_4$ ? (Molecular weight of $CH_4$ is $16$ )

The $P-V$ diagram of an ideal gas is as shown in the figure. The work done by the gas in the process $ABCD$ is:

Which of the following cylindrical rods will conduct the most heat when their ends are maintained at the same steady temperatures?

The effective atomic number $(EAN)$ of $Co(CO)_4$ is $35$,hence it is less stable. It attains stability by:

Let $f(0)=1, f(0.5)=\frac{5}{4}, f(1)=2, f(1.5)=\frac{13}{4}$ and $f(2)=5$. Using Simpson's rule,$\int_0^2 f(x) dx$ is equal to

Five capacitors together with their capacitances are shown in the adjoining figure. The potential difference between the points $A$ and $B$ is $60 \, V$. The equivalent capacitance between the points $A$ and $B$ and the charge on the $5 \, \mu F$ capacitor will be respectively: