A balloon is made of a material of surface tension S and its inflation outlet (from where gas is filled in it) has small area A . It is filled with a gas of density and takes a spherical shape of radius R . When the gas is allowed to flow freely out of it, its radius r changes from R to 0 (zero) in time T . If the speed v(r) of gas coming out of the balloon depends on r as r a and T S A R then

  1. A. a= 1 2 , = 1 2 , =- 1 2 , = 1 2 , = 7 2
  2. B. a= 1 2 , = 1 2 , =-1, =+1, = 3 2
  3. C. a=- 1 2 , =- 1 2 , =-1, =- 1 2 , = 5 2
  4. D. a=- 1 2 , =- 1 2 , =-1, = 1 2 , = 7 2

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