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In post office box experiment, if $\frac{Q}{P} = \frac{1}{10}$ . In R, if $142 Ω$ is used, then we get deflection towards right and if $R = 143 Ω$ , then deflection is towards left. What is the range of unknown resistance?

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between 14.2 $Ω$ and 14.3 $Ω$

between 11.2 $Ω$ and 12.3 $Ω$

between 12.2 $Ω$ and 13.3 $Ω$

between 15.2 $Ω$ and 16.3 $Ω$

answer is B.

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Detailed Solution

$\frac{P}{Q} = \frac{R}{X}$

$X = (\frac{Q}{P}) R = (\frac{1}{10}) R$

R lies between 14.2 $Ω$ and 14.3 $Ω$ .

Therefore, the unknown resistance X lies between 14.2 $Ω$ and 14.3 $Ω$ .

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