The figure shows experimental set up of a bridge. When the two unkn...

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The figure shows experimental set up of a bridge. When the two unknown resistances \( \mathrm{X} \) and \( \mathrm{Y} \) are inserted, the null point \( \mathrm{D} \) is obtained \( 40 \mathrm{~cm} \) from the end \( \mathrm{A} \). when a resistance of 10 is connected in series with \( \mathrm{X} \), the null point shifts by \( 10 \mathrm{~cm} \). find the position of the null point when the 10 resistance is instead connected in series with resistance ' \( \mathrm{Y} \) '. Determine the values of the resistances \( \mathrm{X} \) and \( \mathrm{Y} \).
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