Solved papers for JEE Main & Advanced AIEEE Solved Paper-2012

done AIEEE Solved Paper-2012 Total Questions - 3

• question_answer1) In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distance from the centre. The graph which would correspond to the above will be :   AIEEE  Solved  Paper-2012
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• question_answer2) If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between \[t=0s\] to \[t=\tau s\], then \[\tau \] may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity, with 'b' as the constant of proportionality, the averatge life time of the pendulum is (assuming damping is small) in seconds :   AIEEE  Solved  Paper-2012
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  \[\frac{0.693}{b}\]                             
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  b
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  \[\frac{1}{b}\]                                      
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  \[\frac{2}{b}\]
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• question_answer3) This questions has statement-1 and statement-2. Of the four choices given after the statements, choose the one that best describe the two statements. An insulating solid sphere of radius R has a unioformly positive charge density \[\rho \].As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinite is zero. Statement-1: When a charge ?q? is take from the centre of the surface of the sphere its potential energy changes by \[\frac{q\rho }{3{{\varepsilon }_{0}}}\]. Statement-2: The electric field at a distance r \[(r<R)\] from the centre of the sphere is \[\frac{\rho r}{3{{\varepsilon }_{0}}}\]   AIEEE  Solved  Paper-2012
  A)
  Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of statement-1.
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  Statement 1 is true Statement 2 is false.
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  Statement 1 is false Statement 2 is true.
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  D)
  Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 1.
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