$A$ wire of resistance $12 \, \Omega/m$ is bent to form a complete circle of radius $10 \, cm$. The resistance between its two diametrically opposite points, $A$ and $B$, as shown in the figure, is:

The equivalent resistance between the adjacent corners of a regular $n$-sided polygon made of a uniform wire of total resistance $R$ is:

Two resistors of resistance $100\,\Omega$ and $200\,\Omega$ are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in $100\,\Omega$ to that in $200\,\Omega$ in a given time is:

The equivalent resistance between $A$ and $B$ is $6 \Omega$. The value of $R_1$ is (in $Omega$)

In the arrangement of resistances shown below,the effective resistance between points $A$ and $B$ is ............... $\Omega$.

Three unequal resistances are connected in parallel. Two of these resistances are in the ratio $1:2$. The equivalent resistance of these three resistors connected in parallel is $1 \Omega$. What is the highest resistance value among these three resistances if no resistance is fractional (in $Omega$)?