Resistance of tungsten wire at $150\,^oC$ is $133\,\Omega $. Its resistance temperature coefficient is $0.0045\,^oC$. The resistance of this wire at $500\,^oC$ will be .............. $\Omega$
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(c) $\frac{{{R_{150}}}}{{{R_{500}}}} = \frac{{[1 + \alpha (150)]}}{{[1 + \alpha (500)]}}$. Putting ${R_{150}} = 133\,\Omega $ and $\alpha = 0.0045\,^o C,$ we get ${R_{500}} = 258\,\Omega $
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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 ................ $\mathrm{V}$
A potentiometer wire of length $1\,m$ and resistance $10\,\Omega$ is connected in series with a cell of $emf$ $2\,V$ with internal resistance $1 \,\Omega$ and a resistance box including a resistance $R$. If potential difference between the ends of the wire is $1\, mV$, the value of $R$ is ............. $\Omega $
In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across $52\ cm$ of the potentiometer wire. If the cell is shunted by a resistance of $ 5\,\Omega$, a balance is found when the cell is connected across $40\ cm$ of the wire. Find the internal resistance of the cell ........... $\Omega$
The length of a potentiometer wire is $1200\; \mathrm{cm}$ and it carries a current of $60 \;\mathrm{mA}$. For a cell of $emf\;5\; \mathrm{V}$ and intemal resistance of $20\; \Omega,$ the null point on it is found to be a $1000\; \mathrm{cm} .$ The resistance of whole wire is .............. $\Omega$
The length of a potentiometer wire is $l$. $A$ cell of $\mathrm{emf}$ $E$ is balanced at a length $l/3$ from the positive end of the wire. If the length of the wire is increased by $l/2$. At what distance will the same cell give a balance point.