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A cube is formed with ten identical resistances $R$ (thick lines) and two shorting wires (dotted lines) along the arms $A C$ and $B D$ as shown in the figure below. Resistance between point $A$ and $B$ is ...........$\Omega$
For the arrangement of the potentiometer shown in the figure, the balance point is obtained at $a$ distance $75\,cm $ from $A$ when the key $k$ is open. The second balance point is obtained at $60\, cm$ from $A$ when the key $k$ is closed. Find the internal resistance (in $ \Omega$) of the battery $E_1$.
Two resistances ${R_1}$ and ${R_2}$ are joined as shown in the figure to two batteries of $e.m.f.$ ${E_1}$ and ${E_2}$. If ${E_2}$ is short-circuited, the current through ${R_1}$ is
Four resistances of $15\; \Omega, 12\; \Omega, 4 \;\Omega$ and $10\; \Omega$ respectively in cyclic order to form Wheats tone's network. The resistance that is to be connected in parallel with the resistance of $10\; \Omega$ to balance the network is .................. $\Omega$
If two bulbs of wattage $25$ and $100$ respectively each rated at $220\, volt$ are connected in series with the supply of $440\, volt$, then which bulbs will fuse
In the given figure of meter bridge experiment, the balancing length $AC$ corresponding to null deflection of the galvanometer is $40\,cm$. The balancing length, if the radius of the wire $AB$ is doubled, will be $....cm$