When a piece of aluminium wire of finite length is drawn through a series of dies to reduce its diameter to half its original value, its resistance will become ........ times
AIIMS 1997, Medium
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(d) In stretching of wire $R \propto \frac{1}{{{r^4}}}$
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A car battery of $e.m.f$. $12\,V$ and internal resistance $5 \times {10^{ - 2}}\,\Omega $, receives a current of $60\; A$ from external source, then terminal voltage of battery is
In the given figure of meter bridge experiment, the balancing length $AC$ corresponding to null deflection of the galvanometer is $40\,cm$. The balancing length, if the radius of the wire $AB$ is doubled, will be $....cm$
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