Solved papers for JEE Main & Advanced AIEEE Solved Paper-2003

done AIEEE Solved Paper-2003 Total Questions - 5

• question_answer1) Resultant force is zero, as three forces acting on the particle can be represented in magnitude and direction by three sides of a triangle in same order. Hence, by Newton's 2nd law \[\left( F=m\frac{d\,\,v}{dt} \right)\], particle velocity (v) will be same. (\[\because \] if F = 0, v = constant) If the electric flux entering and leaving an enclosed surface respectively is \[{{\phi }_{1}}\] and \[{{\phi }_{2}}\], the electric charge inside the surface will be     AIEEE  Solved  Paper-2003
  A)
  \[({{\phi }_{2}}-{{\phi }_{1}}){{\varepsilon }_{0}}\]        
  done clear
  B)
  \[({{\phi }_{1}}+{{\phi }_{2}})/{{\varepsilon }_{0}}\]                        
  done clear
  C)
  \[({{\phi }_{2}}-{{\phi }_{1}})/{{\varepsilon }_{0}}\]       
  done clear
  D)
        \[({{\phi }_{1}}+{{\phi }_{2}}){{\varepsilon }_{0}}\]
  done clear
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• question_answer2) A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor     AIEEE  Solved  Paper-2003
  A)
  decreases                          
  done clear
  B)
  remains unchanged
  done clear
  C)
  becomes infinite
  done clear
  D)
  Increases
  done clear
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• question_answer3) A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P at a distance R/2 from the centre of the shell is     AIEEE  Solved  Paper-2003
  A)
  \[\frac{2Q}{4\pi {{\varepsilon }_{0}}R}\]       
  done clear
  B)
                        \[\frac{2Q}{4\pi {{\varepsilon }_{0}}R}-\frac{2q}{4\pi {{\varepsilon }_{0}}R}\]     
  done clear
  C)
  \[\frac{2Q}{4\pi {{\varepsilon }_{0}}R}+\frac{q}{4\pi {{\varepsilon }_{0}}R}\] 
  done clear
  D)
        \[\frac{(q+Q)}{4\pi {{\varepsilon }_{0}}R}\frac{2}{R}\]
  done clear
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• question_answer4) The work done in placing a charge of \[8\times {{10}^{-18}}C\] on a condenser of capacity \[100\mu F\] is     AIEEE  Solved  Paper-2003
  A)
  \[16\times {{10}^{-32}}\] J          
  done clear
  B)
  \[3.1\times {{10}^{-26}}\] J                         
  done clear
  C)
  \[4\times {{10}^{-10}}\] J       
  done clear
  D)
        \[32\times {{10}^{-32}}\] J
  done clear
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• question_answer5) Three charges \[-{{q}_{1}},+{{q}_{2}}\] and \[-{{q}_{3}}\] are placed as shown in the figure. The x-component of the force on \[-{{q}_{1}}\] is proportional to                  AIEEE  Solved  Paper-2003
  A)
  \[\frac{{{q}_{2}}}{{{b}^{2}}}-\frac{{{q}_{3}}}{{{a}^{2}}}\cos \theta \]     
  done clear
  B)
        \[\frac{{{q}_{2}}}{{{b}^{2}}}+\frac{{{q}_{3}}}{{{a}^{2}}}\sin \theta \]
  done clear
  C)
                        \[\frac{{{q}_{2}}}{{{b}^{2}}}+\frac{{{q}_{3}}}{{{a}^{2}}}\cos \theta \]      
  done clear
  D)
        \[\frac{{{q}_{2}}}{{{b}^{2}}}-\frac{{{q}_{3}}}{{{a}^{2}}}\sin \theta \]
  done clear
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