Question

A meter bridge is set up as shown, to determine an unknown resistance X using a standard 10Ω resistance. The balance point is obtained when tapping key is at 52cm mark. The end corrections are 1cm and 2cm respectively for the ends A and B. The determined value of X is 

• A. 10.2Ω
• B. 10.6Ω
• C. 10.8Ω
• D. 11.1Ω

Hint:

Always apply end corrections before substituting balance lengths in meter bridge problems.

Answer 1

The Correct Option is B

Step 1: Apply end corrections Effective left length: l₁ = 52 + 1 = 53cm Effective right length: l₂ = (100 - 52) + 2 = 50cm

 Step 2: Meter bridge balance condition: (X)/(10) = (l₁)/(l₂) (X)/(10) = (53)/(50) ⟹ X = 10.6Ω