Question

A potentiometer is connected across A and B, and a balance is obtained at 64.0 cm. When potentiometer lead to 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:

• A. 80 cm
• B. 56.0 cm
• C. 64.0 cm
• D. 20 cm

Hint:

The balance length on a potentiometer is proportional to the potential difference between two points.

Answer 1

The Correct Option is B

Step 1: Understand the potentiometer balance.
The balance length on the potentiometer is proportional to the potential difference. The change in length due to the movement of the potentiometer lead reflects the potential difference between points B and C.
Step 2: Explanation.
Given the change in balance length when the lead is moved, we can calculate the new balance length for the B-C connection as 56.0 cm.
Final Answer: \[ \boxed{56.0 \, \text{cm}} \]