In a meter bridge experiment, a null point is obtained at a balancing length l = 40.0 cm from the left end when a known resistance R = 6.0 Ω is in the left gap. What is the value of the unknown resistance S in the right gap?
Answer and explanation
Correct answer: C. 9.0 Ω
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- Step 1: A meter bridge uses a 1-meter () uniform resistance wire.
- Step 2: At the balance point, the ratio of resistances equals the ratio of wire lengths:
- Step 3: Substitute and :
- Step 4: Solving for :
Answer
9.0 Ω
Why not the others: '4.0 Ω' inverts the length ratio (); '6.0 Ω' occurs only when balance point is at ; '12.0 Ω' miscalculates fractions.
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