Question

A meter bridge is set up as shown to determine an unknown resistance X using a standard 10 ohm resistor. The galvanometer shows null point at 52 cm mark. The end corrections are 1 cm and 2 cm respectively for the ends A and B. The determined value of X is 

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

Hint:

Always apply end corrections before using meter bridge formula.

Answer 1

The Correct Option is B

Step 1: Corrected lengths l₁ = 52 - 1 = 51 cm, l₂ = 48 - 2 = 46 cm
Step 2: Meter bridge formula (X)/(10) = (l₁)/(l₂)
Step 3: Substituting values X = 10 × (51)/(48) ≈ 10.6 Ω