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 .............. $volt$
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A cell of internal resistance $3\, ohm$ and $emf$ $10\, volt$ is connected to a uniform wire of length $500 \,cm$ and resistance $3\, ohm$. The potential gradient in the wire is .............. $mV/cm$
In the figure, the potentiometer wire $AB$ of length $L$ and resistance $9r$ is joined to the cell $D$ of $\mathrm{emf}$ $\varepsilon$ and internal resistance $r$. The cell $C’s$ $\mathrm{emf}$ is $\varepsilon /2$ and its internal resistance is $2r$. The galvanometer $G$ will show no deflection when the length $AJ$ is
A hollow cylindrical conductor has length of $3.14\,m$, while its inner and outer diameters are $4\,mm$ and $8\,mm$ respectively. The resistance of the conductor is $n \times 10^{-3}\,\Omega$.If the resistivity of the material is $2.4 \times 10^{-8}\,\Omega\,m$. The value of $n$ is $..........$
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 thermocouple of negligible resistance produces an $e.m.f.$ of $40\,\mu V{/^o}C$ in the linear range of temperature. A galvanometer of resistance $10\; ohm$ whose sensitivity is $1\;\mu A/div$, is employed with the thermocouple. The smallest value of temperature difference that can be detected by the system will be
A house is served by $220\, V$ supply line in a circuit protected by a $9\, ampere$ fuse. The maximum number of $60\, W$ lamps in parallel that can be turned on, is