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On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The resistance of their series combination is 1kΩ. How much was the resistance on the left slot before interchanging the resistances?

1. 990 Ω
2. 505 Ω
3. 550 Ω
4. 910 Ω

Correct answer: 550 Ω

Solution

The shift in the balance point indicates a change in the ratio of the resistances. Since the total resistance in series is 1kΩ, and the balance point shifts left by 10 cm, it suggests that the resistance on the left was lower than the right. The only option that satisfies the condition of the series combination and the shift is 550 Ω.

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