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For a cell of $e.m.f.$ $2\,V$, a balance is obtained for $50\, cm$ of the potentiometer wire. If the cell is shunted by a $2\,\Omega $ resistor and the balance is obtained across $40\, cm$ of the wire, then the internal resistance of the cell is ............. $\Omega $
Following figures show different combinations of identical bulb$(s)$ connected to identical battery$(ies)$. Which option is correct regarding the total power dissipated in the circuit?
Thomson coefficient of a conductor is $10\,\mu V/K$. The two ends of it are kept at ${50\,^o}C$ and ${60\,^o}C$ respectively. Amount of heat absorbed by the conductor when a charge of $10\,C$ flows through it is
A platinum resistance thermometer has a resistance of $50\,\Omega $ at $20\,^o C$. When dipped in a liquid the resistance becomes $76.8\,\Omega $. The temperature coefficient of resistance for platinum is $\alpha = 3.92 \times {10^{ - 3}}\,^o C$. The temperature of the liquid is .............. $^o C$
Drift speed of electrons, when $1.5\, A$ of current flows in a copper wire of cross section $5\, mm^2$, is $v$. If the electron density in copper is $9 \times 10^{28}\, m^3$ the value of $v$ in $mm/s$ is close to (Take charge of electron to be $= 1.6 \times 10^{-19}\, C$)
In the circuit shown the variable resistance is so adjusted that the ammeter reading is same in both the position $1$ and $2$ of the key. The reading of ammeter is $2A$. If $E = 20V$, then $x$ is :- ................... $\Omega$
The current through a wire depends on time as $i = (2+3t)\, mA$. The charge crossing through a section of the wire in $1\, min$ is .............. $\mathrm{C}$