Consider the circuit shown in fig. The current through the $10\,\Omega $ resistor when switch $'s'$ is $(a)$ open $(b)$ closed.
A$\frac{1}{{10}}A,\frac{2}{{10}}A$
B$\frac{3}{{10}}A,\frac{1}{{10}}A$
C$\frac{1}{{10}}A,\frac{3}{{10}}A$
D
None
Medium
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C$\frac{1}{{10}}A,\frac{3}{{10}}A$
c
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In the experimental setup of meter bridge shown in the figure, the null point is obtained at a distance of $40\,cm$ from $A$. If a $10\,\Omega $ resistor is connected in series with $R_1$, the null point shifts by $10\,cm$. The resistance that should be connected in parallel with $\left( {{R_1} + 10} \right)\,\Omega $ such that the null point shifts back to its initial position is .............. $\Omega$
The resistance of a wire is $R$. It is bent at the middle by $180^o$ and both the ends are twisted together to make a shorter wire. The resistance of the new wire is
A wire of resistance $x$ ohm is drawn out, so that its length is increased to twice its original length, and its new resistance becomes $20 \,\Omega$, then $x$ will be ........ $\Omega$
Two batteries, one of emf $18\,volts\;emf$ and internal resistance $2\,\Omega $ and the other of emf $12\, volt$ and internal resistance $1\,\Omega $, are connected as shown. The voltmeter $V$ will record a reading of .............. $volt$
When a current of $2\, A$ flows in a battery from negative to positive terminal, the potential difference across it is $12\, V$. If a current of $3 \,A$ flows in the opposite direction potential difference across the terminals of the battery is $15\, V$, the $emf$ of the battery is ................ $\mathrm{V}$
In the given potentiometer circuit length of the wire $AB$ is $3\,m$ and resistance is $R=4.5\,\Omega $. The length $AC$ for no deflection in galvanometer is ............... $m$
$A$ wire of length $L$ and $3$ identical cells of negligible internal resistances are connected in series. Due to the current, the temperature of the wire is raised by $\Delta T$ in time $t. N$ number of similar cells is now connected in series with a wire of the same material and cross section but of length $2L$. The temperature of the wire is raised by the same amount $\Delta T$ in the same time $t$. The value of $N$ is :