Answer: When the metal conductor is heated, the balancing point will shift towards the right.
Explanation:
Heating a metal conductor causes an increase in its resistance. This is because the resistance of most materials increases with temperature due to the increased vibration of atoms, which impedes the flow of electrons.
In the case of the meter bridge, the resistance in the left gap (where the heated conductor is connected) increases. Since the meter bridge operates on the principle of balancing resistances, an increase in the left gap's resistance causes the balancing point to shift towards the side with lower resistance, which is the right side.
Therefore, the balancing point shifts towards the right side of the meter bridge when the metal conductor is heated.
Given the equation:
\( \ell_R = \frac{100 - \ell_S}{R} \)
When temperature increases, resistance increases. As the resistance \( R \) increases, the balancing length \( \ell_R \) also increases.
Therefore, as the temperature increases, the balancing length will shift towards the right.
The Wheatstone bridge is balanced when \(R_3 = 144 \, \Omega\). If \(R_2\) and \(R_1\) are interchanged, the bridge balances for \(R_3 = 169 \, \Omega\). The value of \(R_4\) is: