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Standard XII

Physics

Galvanometer

In the figure...

Question

In the figure, the potentiometer wire AB of length L & resistance 9r is joined to the cell D of emf E & internal resistance r. The emf of the cell C is E / 2 & its internal resistance is 2r. The galvanometer G will show no deflection when the length AM is

4L/9

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5L/9

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7L/18

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11L/18

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Solution

The correct option is B
5L/9

$I_{w} = \frac{E}{10 r}; V_{w} = I_{w} 9 r = \frac{9 E}{10 L}$

$∴$ potential gradient $= \frac{9 E}{10 L}$

For balance, $\frac{E}{2} = (A M) \frac{9 E}{10 L} \Rightarrow A M = \frac{5}{9} L$

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In the figure, the potentiometer wire AB of length L & resistance 9r is joined to the cell D of emf E & internal resistance r. The emf of the cell C is E / 2 & its internal resistance is 2r. The galvanometer G will show no deflection when the length AM is

The correct option is B 5L/9 Iw=E10r;Vw=Iw9r=9E10L ∴ potential gradient =9E10L For balance, E2=(AM)9E10L ⇒AM=59L

The correct option is B
5L/9

$I_{w} = \frac{E}{10 r}; V_{w} = I_{w} 9 r = \frac{9 E}{10 L}$

$∴$ potential gradient $= \frac{9 E}{10 L}$

For balance, $\frac{E}{2} = (A M) \frac{9 E}{10 L} \Rightarrow A M = \frac{5}{9} L$