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If the switch at point P is opened (which was initially closed), choose the correct options

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The current in $R_{1}$ would not change

The potential difference between point X and the ground would increase

The current provided by the battery would decrease

The emf produced by the battery (assumed to have no internal resistance) would change

answer is B.

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Detailed Solution

Let a current I flows in circuit, then

$V_{G} + E - I R_{1} = V_{X} o r V_{X} - V_{G} = E - I R_{1}$

It switch is opened, then equivalent resistance increases so I decreases. Hence $V_{X} - V_{G}$ increases.

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