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A metre bridge is set-up as shown to determine an unknown resistance X using a standard 10 ohm resistor. The galvanometer shows null point when

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Question

A metre bridge is set-up as shown to determine an unknown resistance X using a standard 10 ohm resistor. The galvanometer shows null point when tapping-key is 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 ______.

Options

  • 10.2 ohm

  • 10.6 ohm

  • 10.8 ohm

  • 11.1 ohm

MCQ
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Solution

A metre bridge is set-up as shown to determine an unknown resistance X using a standard 10 ohm resistor. The galvanometer shows null point when tapping-key is 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 10.6 ohm.

Explanation:

According to the balance condition of Wheatstone bridge,

`"X"/10 = (52 +1)/(48 + 2)`

` therefore "X"  = 10.6  Omega`

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