Solved papers for JEE Main & Advanced AIEEE Solved Paper-2010

done AIEEE Solved Paper-2010 Total Questions - 4

• question_answer1)   A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field\[\overrightarrow{E}\]at the centre O is ?     AIEEE  Solved  Paper-2010
  A)
  \[\frac{q}{2{{\pi }^{2}}{{\varepsilon }_{0}}{{r}^{2}}}\hat{j}\]                        
  done clear
  B)
  \[\frac{q}{4{{\pi }^{2}}{{\varepsilon }_{0}}{{r}^{2}}}\hat{j}\]        
  done clear
  C)
         \[-\frac{q}{4{{\pi }^{2}}{{\varepsilon }_{0}}{{r}^{2}}}\hat{j}\]
  done clear
  D)
         \[-\frac{q}{2{{\pi }^{2}}{{\varepsilon }_{0}}{{r}^{2}}}\hat{j}\]
  done clear
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• question_answer2) Let there be a spherically symmetric charge distribution with charge density varying as\[\rho (r)={{\rho }_{0}}\left( \frac{5}{4}-\frac{r}{R} \right)\]up to\[r=R,\]and\[\rho (r)=0\]for\[r>R,\]where r is the distance from the origin. The electric field at a distance \[r(r<R)\]from the origin is given by ?       AIEEE  Solved  Paper-2010
  A)
  \[\frac{{{\rho }_{0}}r}{3{{\varepsilon }_{0}}}\left( \frac{5}{4}-\frac{r}{R} \right)\]
  done clear
  B)
         \[\frac{4\pi {{\rho }_{0}}r}{3{{\varepsilon }_{0}}}\left( \frac{5}{3}-\frac{r}{R} \right)\]
  done clear
  C)
         \[\frac{{{\rho }_{0}}r}{4{{\varepsilon }_{0}}}\left( \frac{5}{3}-\frac{r}{R} \right)\]
  done clear
  D)
         \[\frac{4{{\rho }_{0}}r}{3{{\varepsilon }_{0}}}\left( \frac{5}{4}-\frac{r}{R} \right)\]
  done clear
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• question_answer3)   Let C be the capacitance of a capacitor discharging through a resistor R. Suppose\[{{t}_{1}}\]is the time taken for the energy stored in the capacitor to reduce to half its initial value and \[{{t}_{2}}\]is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio \[{{t}_{1}}/{{t}_{2}}\]will be ?       AIEEE  Solved  Paper-2010
  A)
  2             
  done clear
  B)
                         1                             
  done clear
  C)
         \[\frac{1}{2}\]                   
  done clear
  D)
         \[\frac{1}{4}\]
  done clear
  View Answer play_arrow

• question_answer4)   Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of\[30{}^\circ \]with each other. When suspended in a liquid of density\[0.8\text{ }g\text{ }c{{m}^{3}},\] the angle remains the same. If density of the material of the sphere is\[1.6\text{ }g\text{ }c{{m}^{3}},\] the dielectric constant of the liquid is ?       AIEEE  Solved  Paper-2010
  A)
  1                                             
  done clear
  B)
  4                             
  done clear
  C)
         3                                             
  done clear
  D)
  2
  done clear
  View Answer play_arrow