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Two resistors of resistance ${R_1}$ and ${R_2}$ having ${R_1} > {R_2}$ are connected in parallel. For equivalent resistance $R$, the correct statement is
Two indentical electric lamps marked $500\, W, \,\,220\, V$ are connected in series and then joined to a $110\, V$ line. The power consumed by each lamp is
A potentiometer wire has length $10\, m$ and resistance $20\,\Omega $. A $2. 5\, V$ battery of negligible internal resistance is connected across the wire with an $80\,\Omega $ series resistance. The potential gradient on the wire will be
When a resistance of $2\, ohm$ is connected across the terminals of a cell, the current is $0.5\, A$. When the resistance is increased to $5\, ohm$, the current is $0.25\, A$. The $e.m.f.$ of the cell is ................. $V$
In copper wire each atom releases one free electron. If diameter is $1\, mm$ and current is $1.1\,A$ find drift velocity. ($\rho = 9 \times 10^{+3}\, kg/m^3$ $M = 63\, gm/mole$)
$A \,6 \,V$ battery of negligible internal resistance is connected across a uniform wire of length $1\, m$. The positive terminal of another battery of emf $4\,V$ and internal resistance $1\, \Omega$ is joined to the point $A$ as shown in figure. The ammeter shows zero deflection when the jockey touches the wire at the point $C$. The $AC$ is equal to
$A$ battery of $\mathrm{emf}$ $E_0 = 12\, V$ is connected across a $4\,m$ long uniform wire having resistance $4\,\Omega /m$. The cells of small $\mathrm{emfs}$ $\varepsilon_1 = 2\,V$ and $\varepsilon_2 = 4\,V$ having internal resistance $2\Omega$ and $6\Omega$ respectively, are connected as shown in the figure. If galvanometer shows no deflection at the point $N$, the distance of point $N$ from the point $A$ is equal to