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Current Electricity question

2014 · Q121
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Current Electricity question

2014 · Q121

NEETPhysicsCurrent ElectricityMCQ+4 / −1
The resistances in the two arms of the meter bridge are 5 Ω\OmegaΩ and RΩ\OmegaΩ respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6lll1. The resistance R is

AIPMT 2014 Physics - Current Electricity Question 98 English
  1. A
    10 Ω\OmegaΩ
  2. B
    15 Ω\OmegaΩ
  3. C
    20 Ω\OmegaΩ
  4. D
    25 Ω\OmegaΩ
View written solutionFree

Correct answer: B

This is a balanced wheatstone bridge condition,

5R=ℓ1100−ℓ1{5 \over R} = {{{\ell _1}} \over {100 - {\ell _1}}}R5​=100−ℓ1​ℓ1​​

and 5R/2=1.6ℓ1100−1.6ℓ1{5 \over {R/2}} = {{1.6{\ell _1}} \over {100 - 1.6{\ell _1}}}R/25​=100−1.6ℓ1​1.6ℓ1​​

⇒R=15Ω\Rightarrow R = 15\Omega⇒R=15Ω

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