Twelve resistors each of resistance $16 \,\Omega $ are connected in the circuit as shown. The net resistance between $AB$ (any two conjugate points of outer square) is ............... $\Omega$
A$1$
B$2$
C$3$
D$4$
Diffcult
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D$4$
d
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In a potentiometer (see figure) a balance is obtained at a length of $400\ mm$ when using a known battery of emf $1.6\ V$. After removing this battery, another battery of unknown emf is used and balance is obtained at a length of $650\ mm.$ The emf of unknown battery is ............. $volt$
The drift velocity of free electrons in a conductor is ‘$v$’ when a current ‘$i$’ is flowing in it. If both the radius and current are doubled, then drift velocity will be
In the circuit shown below $E_1\, =4.0\, V$, $R_1\, = 2\,\Omega$, $E_2\, = 6.0\, V$, $R_2\, = 4\,\Omega$ and $R_3\, = 2\,\Omega$. The current $I_1$ is ............... $\mathrm{A}$
$A$ brass disc and a carbon disc of same radius are assembled alternatively to make a cylindrical conductor. The resistance of the cylinder is independent of the temperature. The ratio of thickness of the brass disc to that of the carbon disc is [$\alpha$ is temperature coefficient of resistance and Neglect linear expansion ]
In a potentiometer experiment the balancing with a cell is at length $240\,cm$ . On shunting the cell with a resistance of $2\,\Omega $ , the balancing length becomes $120\, cm$ . The internal resistance of the cell is ................... $\Omega$
Resistance of $100\, cm$ long potentiometer wire is $10 \,\Omega$, it is connected to a battery ($2\, volt$) and a resistance $R$ in series. A source of $10\, mV$ gives null point at $40\, cm$ length, then external resistance $R$ is ........... $\Omega $