Physics-
General
Easy

Question

A block of dimensions l × t × h and uniform density rw rests on a rough floor. Wind blowing with speed V and of density ra falls perpendicularly on one face of dimension l × h of the block as shown in figure. Assuming that air is stopped when it strikes the wall and there is sufficient friction on the ground so that the block does not slide, the minimum speed V so that the block topples is :

  1. open parentheses fraction numerator rho subscript w end subscript g over denominator rho subscript a end subscript h end fraction close parentheses to the power of 1 divided by 2 end exponent times t    
  2. open parentheses fraction numerator rho subscript a end subscript g over denominator rho subscript w end subscript h end fraction close parentheses to the power of 1 divided by 2 end exponent times t    
  3. open parentheses fraction numerator g over denominator h end fraction close parentheses to the power of 1 divided by 2 end exponent times t    
  4. None of these    

The correct answer is: open parentheses fraction numerator rho subscript w end subscript g over denominator rho subscript a end subscript h end fraction close parentheses to the power of 1 divided by 2 end exponent times t


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