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A meter bridge is set up as shown in figure, 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

Physics-General

  1. 10.8 ohm    
  2. 11.1 ohm    
  3. 10.6 ohm    
  4. 10.2 ohm    

    Answer:The correct answer is: 10.6 ohm

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    physics-General
    From force diagram shown in figure
    T subscript 1 end subscript cos invisible function application 30 degree plus T subscript 2 end subscript cos invisible function application 45 degree equals m g(i)
    T subscript 1 end subscript sin invisible function application 30 degree plus T subscript 2 end subscript sin invisible function application 45 degree equals fraction numerator m v to the power of 2 end exponent over denominator r end fraction (ii)
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    T subscript 1 end subscript equals fraction numerator m g minus fraction numerator m v to the power of 2 end exponent over denominator r end fraction over denominator open parentheses fraction numerator square root of 3 minus 1 over denominator 2 end fraction close parentheses end fraction
    But T subscript 1 end subscript greater than 0
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    or m g greater than fraction numerator m v to the power of 2 end exponent over denominator r end fraction
    or v less than square root of r g end root
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