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Length of a hollow tube is $5\,m$, it’s outer diameter is $10\, cm$ and thickness of it’s wall is $5\, mm$. If resistivity of the material of the tube is $1.7 \times 10^{-8} \,\Omega m$ then resistance of tube will be
A potentiometer has uniform potential gradient across it. Two cells connected in series $(i)$ to support each other and $(ii)$ to oppose each other are balanced over $6\,m$ and $2\,m$ respectively on the potentiometer wire. The $e.m.f.$’s of the cells are in the ratio of
In the box shown current $i$ enters at $H$ and leaves at $C$. If $i_{AB} = \frac{{\text{i}}}{6}$ , $i_{DC} = \frac{{\text{2i}}}{3}$ ,$i_{HA} = \frac{{\text{i}}}{2} , i_{GF} = \frac{{\text{i}}}{6} , i_{HE} = \frac{{\text{i}}}{6}$ , choose the branch in which current is zero
If $400\; \Omega$ of resistance is made by adding four $100\; \Omega$ resistance of tolerance $5 \%$ then the tolerance of the combination is .....$\%$
$10$ resistors, each of resistance $R$ are connected in series to a battery of $emf$ $E$ and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased $n$ times. The value of $n$ is :