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At 20 to the power of ring operator end exponent C a liquid is filled upto 10 cm height in a container of glass of length 20 cm and cross-sectional area 100 cm2 Scale is marked on the surface of container. This scale gives correct reading at 20 to the power of ring operator end exponent C.text  Given  end text gamma subscript L end subscript equals 5 cross times 10 to the power of negative 5 end exponent k to the power of negative 1 end exponent comma alpha subscript g end subscript equals 1 cross times 10 to the power of negative 5 end exponent°C–1. The volume of liquid at 40 to the power of ring operator end exponent C is :–

  1. 1002 cc    
  2. 1001 cc    
  3. 1003 cc    
  4. 1000.5 cc    

The correct answer is: 1001 cc


    V equals V subscript 0 end subscript open parentheses 1 plus gamma subscript L end subscript comma capital delta T close parentheses equals open parentheses 10 close parentheses open parentheses 100 close parentheses open square brackets 1 plus 5 cross times 10 to the power of negative 5 end exponent cross times 20 close square brackets equals 1000 open parentheses 1 plus 0.001 close parentheses equals 1001 c m to the power of 3 end exponent equals 1001 c c

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