Solved papers for JEE Main & Advanced AIEEE Solved Paper-2005

done AIEEE Solved Paper-2005 Total Questions - 4

• question_answer1) The function \[{{\sin }^{2}}\,(\omega t)\] represents     AIEEE  Solved  Paper-2005
  A)
  a periodic, but not simple harmonic motion with a period \[2\pi /\omega \]
  done clear
  B)
  a periodic, but not simple harmonic motion with a period \[\pi /\omega \]
  done clear
  C)
  a simple harmonic motion with a period \[2\pi /\omega \]
  done clear
  D)
  a simple harmonic motion with a period \[\pi /\omega \]
  done clear
  View Answer play_arrow

• question_answer2) Two simple harmonic motions are represented by the equations \[{{y}_{1}}=0.1\sin \left( 100\pi t+\frac{\pi }{3} \right)\]and\[{{y}_{2}}=0.1\,\cos \pi t.\] The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is     AIEEE  Solved  Paper-2005
  A)
  \[\frac{-\pi }{6}\]      
  done clear
  B)
                         \[\frac{\pi }{3}\]                              
  done clear
  C)
         \[\frac{-\pi }{3}\]                             
  done clear
  D)
         \[\frac{\pi }{6}\]
  done clear
  View Answer play_arrow

• question_answer3) If a simple harmonic motion is represented by \[\frac{{{d}^{2}}x}{d{{t}^{2}}}+\alpha x=0,\] its time period is     AIEEE  Solved  Paper-2005
  A)
  \[\frac{2\pi }{\alpha }\] 
  done clear
  B)
                         \[\frac{2\pi }{\sqrt{\alpha }}\]  
  done clear
  C)
         \[2\pi \alpha \]                 
  done clear
  D)
         \[2\pi \sqrt{\alpha }\]
  done clear
  View Answer play_arrow

• question_answer4) The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would     AIEEE  Solved  Paper-2005
  A)
  first increase and then decrease to the original value
  done clear
  B)
  first decrease and then increase to the original value
  done clear
  C)
  remain unchanged
  done clear
  D)
  increase towards a saturation value
  done clear
  View Answer play_arrow