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A U-tube of base length blank to the power of ´ ´ end exponent lambda to the power of ´ ´ end exponent filled with same volume of two liquids of densities rho and 2rho is moving with an acceleration “a” on the horizontal plane. If the height difference between the two surfaces (open to atmosphere) becomes zero, then the height h is given by:

  1. fraction numerator a over denominator 2 g end fraction l    
  2. fraction numerator 3 a over denominator 2 g end fraction l    
  3. fraction numerator a over denominator g end fraction l    
  4. fraction numerator 2 a over denominator 3 g end fraction l    

The correct answer is: fraction numerator 3 a over denominator 2 g end fraction l


    For the given situation, liquid of density 2rho should be behind that of rho. From right limb :


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