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Standard XII

Physics

Potentiometer

A potentiomet...

Question

A potentiometer is connected across A and B and a balance is obtained at 64.0 cm. When the potentiometer lead at B is moved to C, a balance is found at 8.0 cm. If the potentiometer is now connected across B and C, a balance will be found at

8.0 cm

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56.0 cm

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64.0 cm

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72.0 cm

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Solution

The correct option is B 56.0 cm
Potential difference $V = k l$ where $k =$ potential gradient.
Here, $V_{1} = k l_{1} = 64 k$
and $V_{1} - V_{2} = 8 k$
$64 k - k l_{2} = 8 k$
$64 - l_{2} = 8 \Rightarrow l_{2} = 64 - 8 = 56 c m$

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A potentiometer is connected across A and B and a balance is obtained at 64.0 cm. When the potentiometer lead at B is moved to C, a balance is found at 8.0 cm. If the potentiometer is now connected across B and C, a balance will be found at

The correct option is B 56.0 cmPotential difference V=kl where k= potential gradient.Here, V1=kl1=64kand V1−V2=8k64k−kl2=8k64−l2=8⇒l2=64−8=56cm

The correct option is B 56.0 cm
Potential difference $V = k l$ where $k =$ potential gradient.
Here, $V_{1} = k l_{1} = 64 k$
and $V_{1} - V_{2} = 8 k$
$64 k - k l_{2} = 8 k$
$64 - l_{2} = 8 \Rightarrow l_{2} = 64 - 8 = 56 c m$