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The figure below shows a wheatstone bridge with resistors P and Q having almost equal resistance. When R = 400 Ω , the bridge is in balanced condition. If on interchanging P and Q , the bridge is again balanced for R = 405 Ω , then the value of X is

Options

  1. A404 . 5   Ω
  2. B402 . 5   Ω
  3. C403 . 5   Ω
  4. D401 . 5   Ω

Correct answer

B. 402 . 5   Ω

Step-by-step solution

Initially, P Q = 400 x Once we interchange P and Q , we get Q P = 405 X ⇒ P Q × Q P = 400 × 405 X 2 ⇒ X = 400 × 405 ≈ 402 . 5   Ω

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