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Question

The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature is needed to excite hydrogen atoms to first excited level, is

  1. 7.9 cross times 1 0 to the power of 4 end exponent K    
  2. 3.5 cross times 1 0 to the power of 4 end exponent K    
  3. 5.8 cross times 1 0 to the power of 4 end exponent K    
  4. 14 cross times 1 0 to the power of 4 end exponent K    

The correct answer is: 7.9 cross times 1 0 to the power of 4 end exponent K


    According to kinetic interpretation of temperature
    K. E. equals open parentheses fraction numerator 1 over denominator 2 end fraction m v to the power of 2 end exponent close parentheses equals fraction numerator 3 over denominator 2 end fraction k T.
    rightwards double arrow 10.2 cross times 1.6 cross times 1 0 to the power of negative 19 end exponent equals fraction numerator 3 over denominator 2 end fraction cross times left parenthesis 1.38 cross times 1 0 to the power of negative 23 end exponent right parenthesis T
    Þ T = 7.9 ´ 104K

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