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

done AIEEE Solved Paper-2003 Total Questions - 5

• question_answer1) A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes \[5T/3\], then the ratio of \[\frac{m}{M}\] is     AIEEE  Solved  Paper-2003
  A)
  \[\frac{3}{5}\]                                   
  done clear
  B)
        \[\frac{25}{9}\]                                
  done clear
  C)
  \[\frac{16}{9}\]                
  done clear
  D)
        \[\frac{5}{3}\]
  done clear
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• question_answer2) Two particles A and B of equal masses are suspended from two massless springs of spring constants \[{{k}_{1}}\] and \[{{k}_{2}}\], respectively. If the   maximum   velocities,   during oscillations are equal, the ratio of amplitudes of A and B is     AIEEE  Solved  Paper-2003
  A)
  \[\sqrt{{{k}_{1}}/{{k}_{2}}}\]         
  done clear
  B)
                        \[{{k}_{1}}/{{k}_{2}}\]                   
  done clear
  C)
  \[\sqrt{{{k}_{2}}/{{k}_{1}}}\]                      
  done clear
  D)
  \[{{k}_{2}}/{{k}_{1}}\] \[\]
  done clear
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• question_answer3) The length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time period of the pendulum of increased length is     AIEEE  Solved  Paper-2003
  A)
  \[11%\]                               
  done clear
  B)
  \[21%\]                               
  done clear
  C)
        \[42%\]                               
  done clear
  D)
        \[10.5%\]
  done clear
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• question_answer4) The displacement of a particle varies according to the relation \[x=4\,(\cos \pi \,t+\sin \pi t)\]. The amplitude of the particle is     AIEEE  Solved  Paper-2003
  A)
  \[-4\]    
  done clear
  B)
                        4                             
  done clear
  C)
  \[4\sqrt{2}\]
  done clear
  D)
  8
  done clear
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• question_answer5) A body executes simple harmonic motion. The potential energy (PE), the kinetic energy (KE) and total energy (TE) are measured as function of displacement \[x\]. Which of the following statements is true?     AIEEE  Solved  Paper-2003
  A)
  KE is maximum when \[x=0\]
  done clear
  B)
  TE is zero when \[x=0\]
  done clear
  C)
  KE is maximum when \[x\] is maximum
  done clear
  D)
  PE is maximum when \[x=0\]
  done clear
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