Change $Q$ on a capacitor varies with voltage $V$ as shown in the figure, where $Q$ is taken along the $X$-axis and $V$ along the $Y$-axis. The area of triangle $OAB$ represents

A capacitor of capacitance $6\,\mu \,F$ is charged upto $100$ $volt$. The energy stored in the capacitor is........$Joule$

A $2\,\mu F$ capacitor is charged to $100$ $volt$ and then its plates are connected by a conducting wire. The heat produced is........$J$

A condenser of capacity $50\,\mu F$ is charged to $10\;volts$. Its energy is equal to

In a uniform electric field, a cube of side $1\ cm$ is placed. The total energy stored in the cube is $8.85\mu J$ . The electric field is parallel to four of the faces of the cube. The electric flux through any one of the remaining two faces is.

Two condensers of capacity $0.3\,\mu F$ and $0.6\,\mu F$ respectively are connected in series. The combination is connected across a potential of $6\,volts$. The ratio of energies stored by the condensers will be