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

done AIEEE Solved Paper-2003 Total Questions - 6

• question_answer1) The resultant of forces P and Q is R. If Q is doubled, then R is doubled. If the direction of Q is reversed, then R is again doubled, then? \[{{P}^{2}}:{{Q}^{2}}:{{R}^{2}}\] is     AIEEE  Solved  Paper-2003
  A)
                                          3 : 1 : 1                 
  done clear
  B)
        2 : 3 : 2                 
  done clear
  C)
        1 : 2 : 3                 
  done clear
  D)
        2 : 3 : 1
  done clear
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• question_answer2) Let \[{{R}_{1}}\] and \[{{R}_{2}}\] respectively be the maximum ranges up and down an inclined plane and R be the maximum range on the horizontal plane. Then. \[{{R}_{1}},R,{{R}_{2}}\] are in     AIEEE  Solved  Paper-2003
  A)
                          AGP                                      
  done clear
  B)
  AP                                         
  done clear
  C)
  GP                                         
  done clear
  D)
  HP
  done clear
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• question_answer3) A couple is of moment G and the force forming the couple is P. If P is turned through a right angle, the moment of the couple thus formed is H. If instead, the forces P is turned through an angle a, then the moment of couple becomes     AIEEE  Solved  Paper-2003
  A)
                          \[G\sin \alpha -H\cos \alpha \]                 
  done clear
  B)
  \[H\cos \alpha +G\sin \alpha \]
  done clear
  C)
        \[G\cos \alpha +H\sin \alpha \]
  done clear
  D)
        \[H\sin \alpha -G\cos \alpha \]
  done clear
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• question_answer4) Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity u and the other from rest with uniform acceleration f. Let \[\alpha \] be the angle between their directions of motion. The relative velocity of the second particle w.r.t. the first is least after a time     AIEEE  Solved  Paper-2003
  A)
                          \[\frac{u\sin \alpha }{f}\]                            
  done clear
  B)
  \[\frac{f\cos \alpha }{u}\]                           
  done clear
  C)
  \[u\sin \alpha \]                              
  done clear
  D)
  \[\frac{u\cos \alpha }{f}\]
  done clear
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• question_answer5) Two stones are projected from the top of a cliff h metres high, with the same speed u, so as to hit the ground at the same spot. If one of the stones is projected horizontally and the other is projected at an angle \[\theta \] to the horizontal, then tan \[\theta \] equals       AIEEE  Solved  Paper-2003
  A)
                                          \[\sqrt{\frac{2u}{gh}}\]                
  done clear
  B)
        \[2g\,\sqrt{\frac{u}{h}}\]                             
  done clear
  C)
  \[2h\,\sqrt{\frac{u}{g}}\]                             
  done clear
  D)
  \[u\,\sqrt{\frac{2}{gh}}\]
  done clear
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• question_answer6) A body travels a distance s in t seconds. It starts from rest and ends at rest. In the first part of the journey, it moves with constant acceleration f and in the second part with constant retardation r. The value of t is given by     AIEEE  Solved  Paper-2003
  A)
                          \[2s\left( \frac{1}{f}+\frac{1}{r} \right)\]                              
  done clear
  B)
  \[\frac{2s}{\frac{1}{f}+\frac{1}{r}}\]                        
  done clear
  C)
  \[\sqrt{2s\,(f+r)}\]      
  done clear
  D)
        \[\sqrt{2s\,\left( \frac{1}{f}+\frac{1}{r} \right)}\]
  done clear
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