Q168 / 180 · KCET 2022 · Physics
When a metal conductor connected to left gap of a meter bridge is heated, the balancing point
- Ashifts towards left
- Bremains unchanged
- Cshifts to the centre
- Correct answerDshifts towards right
Solution
We know that, resistance of unknown wire can be determined by using meter bridge as
$$
\frac{R}{S}=\frac{l}{100-l} \Rightarrow S=\frac{R(100-l)}{l}
$$
where $R=$ known resistance, $l=$ balancing length and $S=$ unknown resistance.
When a metal conductor of resistance $R$ connected to left gap is heated, then its resistance increases i.e. $R$ increases. Hence, from Eq. (i), we see that when $R$ will increase, then $(100-l)$ will decrease also, i.e $l$ will increase. Therefore, balancing point will shift towards right.
Hence, the correct answer is option: 'D'.