Solved papers for JEE Main & Advanced AIEEE Solved Paper-2004

done AIEEE Solved Paper-2004 Total Questions - 3

• question_answer1) The total energy of a particle, executing simple harmonic motion is
  A)
  \[\propto x\]
  done clear
  B)
  \[\propto \,{{x}^{2}}\]
  done clear
  C)
  Independent of\[x.\]
  done clear
  D)
  \[\propto {{x}^{1/2}}\] where,\[x\]is the displacement from the mean position.
  done clear
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• question_answer2) A particle of mass m is attached to a spring (of spring constant\[k\] and has a natural angular frequency\[{{\omega }_{0}}\]. An external force F(t) proportional to \[\cos \omega t(\omega \ne {{\omega }_{0}})\]is applied to the oscillator. The time displacement of the oscillator will be proportional to
  A)
  \[\frac{m}{\omega _{0}^{2}-{{\omega }^{2}}}\]                
  done clear
  B)
  \[\frac{1}{m(\omega _{0}^{2}-{{\omega }^{2}})}\]          
  done clear
  C)
         \[\frac{1}{m(\omega _{0}^{2}+{{\omega }^{2}})}\]         
  done clear
  D)
         \[\frac{m}{\omega _{0}^{2}+{{\omega }^{2}}}\]
  done clear
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• question_answer3) In forced oscillation of a particle, the amplitude is maximum for a frequency\[{{\omega }_{1}}\]of the force, while the energy is maximum for a frequency \[{{\omega }_{2}}\]of the force, then
  A)
  \[{{\omega }_{1}}={{\omega }_{2}}\]
  done clear
  B)
  \[{{\omega }_{1}}>{{\omega }_{2}}\]
  done clear
  C)
  \[{{\omega }_{1}}<{{\omega }_{2}}\]when damping is small and\[{{\omega }_{1}}>{{\omega }_{2}}\] when damping is large
  done clear
  D)
  \[{{\omega }_{1}}<{{\omega }_{2}}\]
  done clear
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