Two students $X$ and Y perform potentiometer experiment separately and null point was obtained as shown in…

Two students $X$ and Y perform potentiometer experiment separately and null point was obtained as shown in diagram. During the experiment, (i) X increases the value of $\mathrm{R}$ (resistance) (ii) Y decreases the value of S (resistance) without any other change The position of null point obtained by students $\mathrm{X}$ and $\mathrm{Y}$ respectively
  1. would shift towards $A$ by both $X$ and $Y$
  2. would shift towards point A, would shift towards B
  3. would shift towards $B$ by both $X$ and $Y$
  4. would shift towards point $B$, would shift towards $A$

Solution

(1) With $R$ increase, the current $I$ will decrease, so potential gradient will increase. So larger length will be required for a null point. (2) When $S$ is decreased the current drawn from $E_{1}$ increases. So $\mathrm{V}=\mathrm{E}_{1}-\mathrm{Ir}$, the potential difference across $\mathrm{E}_{1}$ will decrease. This new potential difference will be balanced by a smaller length of potentiometer wire.

Asked in: MHT CET 2020 (20 Oct Shift 1)

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