In a Wheatstone bridge (see fig.), resistances P and Q are approximately equal. When , the bridge is equal. When , the bridge is balanced. On inter-changing P and Q, the value of R, for balance, is . The value of X is close to
Step 1: Given
Initial resistance,
Final resistance,
Step 2: Balance the bridge with initial resistance
We can calculate the unknown resistance in a Wheatstone bridge by balancing the two legs of the bridge circuit.
Therefore,
Step 3: Balance the bridge with the final resistance
After interchanging P and Q,
Step 4: Solve the equations
Dividing equations (1) by (2)
Step 5: Solve for X.
Therefore, option D is the correct option.