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A uniform rod having length L, is made of material having density r and young's modulus Y. It is placed . What minimum thermal mu between two vertical walls having separation L and coefficient of friction strain should be generated in the rod by heating it so that it does not falls down on releasing.

  1. fraction numerator L p g over denominator Y mu end fraction    
  2. fraction numerator 2 L rho g over denominator Y mu end fraction    
  3. fraction numerator L rho g over denominator 2 Y mu end fraction    
  4. None    

The correct answer is: fraction numerator L rho g over denominator 2 Y mu end fraction

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