A voltmeter of resistance $20000\,\Omega$ reads $5$ volt. To make it read $20$ volt, the extra resistance required is
AIIMS 2016, Medium
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(c)

For a voltmeter, in which current $I_g$ passes,

when range is lower, $5= G \times I_g$

when range is higher, $20=(G+R) I_g$

where $G=$ resistance of voltmeter $=20000\,\Omega$

$\therefore \quad \operatorname{From}(i)$ and $(i i)$

$\frac{5}{20}=\frac{G}{G+R}$ or $\frac{1}{4}=\frac{G}{G+R}$

or $R=3 G=3 \times 20000=60000$

or extra resistance $=60000\,\Omega$ in series.

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