Solved papers for JEE Main & Advanced AIEEE Solved Paper-2011

done AIEEE Solved Paper-2011 Total Questions - 2

• question_answer1) Two identical charged spheres suspended from a common point by two massless strings of length l are initially a distance \[d(d<<l)\] apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result the charges approach each other with a velocity v. Then as a function of distance \[x\] between them   AIEEE  Solved  Paper-2011
  A)
  \[v\propto x\]                     
  done clear
  B)
  \[v\propto {{x}^{-\frac{1}{2}}}\]
  done clear
  C)
  \[v\propto {{x}^{-1}}\]                     
  done clear
  D)
  \[v\propto {{x}^{\frac{1}{2}}}\]
  done clear
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• question_answer2) The electrostatic potential inside a charged spherical ball is given by \[\phi =an{{r}^{2}}+b\] where r is the distance from the centre; a, b are constants. Then the charge density inside the ball is   AIEEE  Solved  Paper-2011
  A)
  \[-6\,\,a{{\varepsilon }_{0}}\]                       
  done clear
  B)
  \[-24\,\pi \,a{{\varepsilon }_{0}}\gamma \]
  done clear
  C)
  \[-6\,a{{\varepsilon }_{0}}\gamma \]                        
  done clear
  D)
  \[-24\,\,\pi \,a{{\varepsilon }_{0}}\gamma \]
  done clear
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