Physics-
General
Easy

Question

A soap bubble has radius R and thickness d(<<R) as shown. It collapses into a spherical drop. The ratio of excess pressure in the drop to the excess pressure inside the bubble is

  1. open parentheses fraction numerator R over denominator 3 blank d end fraction close parentheses to the power of fraction numerator 1 over denominator 3 end fraction end exponent    
  2. open parentheses fraction numerator R over denominator 6 blank d end fraction close parentheses to the power of fraction numerator 1 over denominator 3 end fraction end exponent    
  3. open parentheses fraction numerator R over denominator 24 blank d end fraction close parentheses to the power of fraction numerator 1 over denominator 3 end fraction end exponent    
  4. None    

The correct answer is: open parentheses fraction numerator R over denominator 24 blank d end fraction close parentheses to the power of fraction numerator 1 over denominator 3 end fraction end exponent

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The gas molecules randomly move in all directions and collide with each other and with the wall of the container. It is difficult to determine the speed of an individual molecule but it has become possible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution. Consider the following graph about Maxwell's distribution of speeds at two different temperatures T subscript 1 end subscript and T subscript 2 end subscript :

Relation between T subscript 1 end subscript and T subscript 2 end subscript is:

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