Solved papers for JEE Main & Advanced AIEEE Solved Paper-2007

done AIEEE Solved Paper-2007 Total Questions - 4

• question_answer1) The displacement of an object attached to a spring and executing simple harmonic motion is given by\[2x+3y+z=1\]\[x+3y+2z=2\] metre. The time at which the maximum speed first occurs is       AIEEE  Solved  Paper-2007
  A)
   0.5 s                                     
  done clear
  B)
   0.75 s   
  done clear
  C)
          0.125s                 
  done clear
  D)
          0.25s
  done clear
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• question_answer2) A point mass oscillates along the x-axis according to the law\[{{\log }_{3}}e\].If the acceleration of the particle is written as \[{{\log }_{e}}3\]then       AIEEE  Solved  Paper-2007
  A)
   \[f(x)={{\tan }^{-1}}(\sin x+\cos x)\]
  done clear
  B)
     \[(\pi /4,\pi /2)\]
  done clear
  C)
   \[(-\pi /2,\pi /4)\]
  done clear
  D)
   \[(0,\pi /2)\]
  done clear
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• question_answer3) Two springs, of force constants\[{{I}_{0}}=\frac{E}{R}=\frac{5}{5}=1\,A\]and\[\tau =\frac{L}{R}=\frac{10}{5}=2\,s\]are connected to a mass m as shown. The frequency of oscillation of the mass is \[f\]. If both\[(\therefore -t/\tau =\frac{-2}{2}=-1)\]and\[J=\frac{i}{\pi {{a}^{2}}}\]are made four times their original values, the frequency of. oscillation becomes       AIEEE  Solved  Paper-2007
  A)
   \[\oint{B.dl}={{\mu }_{0}}.{{i}_{enclosed}}\]    
  done clear
  B)
                                          \[\oint{B.dl}={{\mu }_{0}}.{{i}_{enclosed}}\]                                     
  done clear
  C)
          \[x=2\times {{10}^{-2}}\]                                            
  done clear
  D)
          \[cos\text{ }\pi t\]
  done clear
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• question_answer4) A particle of mass m executes simple harmonic motion with amplitude a and frequency v. The average kinetic energy during its motion from the position of equilibrium to the end is       AIEEE  Solved  Paper-2007
  A)
   \[p=\frac{{{E}_{0}}{{I}_{0}}}{2}\] 
  done clear
  B)
                          \[P=\sqrt{2}{{E}_{0}}{{I}_{0}}\]                
  done clear
  C)
          \[{{10}^{-3}}\mu C\]                     
  done clear
  D)
          \[(\sqrt{2},\sqrt{2})\]
  done clear
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