In a meter bridge experiment, a metallic wire is connected in the left gap and a semiconductor piece is connected in the right gap. At room temperature, their resistances are equal, and the null point is obtained at 50 cm from the left end of the bridge wire. If the temperature of both the metallic wire and the semiconductor is increased uniformly, how will the position of the balance point change?

Step-by-step solution

For a meter bridge, the balance condition is given by: R_ left R_ right = l 100 - l where l is the balancing length from the left end. The metallic wire in the left gap has a positive temperature coefficient of resistance, so its resistance R_ left increases with an increase in temperature. The semiconductor in the right gap has a negative temperature coefficient of resistance, so its resistance R_ right decreases with an increase in temperature. As a result, the ratio R_ left R_ right increases. To maintain the ba