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The pressure applied from all directions on a cube is P. How much its temperature should be raised to maintain the original volume? The volume elasticity of the cube is beta and the coefficient of volume expansion is alpha

  1. fraction numerator P over denominator alpha beta end fraction    
  2. fraction numerator P alpha over denominator beta end fraction    
  3. fraction numerator P beta over denominator alpha end fraction    
  4. fraction numerator alpha beta over denominator P end fraction    

The correct answer is: fraction numerator P over denominator alpha beta end fraction


    If coefficient of volume expansion is alpha and rise in temperature is increment theta then increment V equals V alpha increment theta rightwards double arrow fraction numerator increment V over denominator V end fraction equals alpha increment theta
    Volume elasticity beta equals fraction numerator P over denominator increment V divided by V end fraction equals fraction numerator P over denominator alpha increment theta end fraction rightwards double arrow increment theta equals fraction numerator P over denominator alpha beta end fraction

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