Solved papers for JEE Main & Advanced JEE Main Paper (Held On 26 May 2012)

done JEE Main Paper (Held On 26 May 2012) Total Questions - 2

• question_answer1) A satellite moving with velocity v in a force free space collects stationary interplanetary dust at a rate of\[\frac{dM}{dt}=\alpha v\] where M is the mass (of satellite t+ dust) at that instant. The instantaneous acceleration of the satellite is   JEE Main Online Paper (Held On 26-May-2012)  
  A)
  \[-\frac{\alpha {{v}^{2}}}{2M}\]                
  done clear
  B)
                         \[-\frac{\alpha {{v}^{2}}}{M}\]
  done clear
  C)
                         \[-\alpha {{v}^{2}}\]                       
  done clear
  D)
                         \[-\frac{2\alpha {{v}^{2}}}{M}\]
  done clear
  View Answer play_arrow

• question_answer2) A point particle is held on the axis of a ring of mass m and radius r at a distance r from its centre C. When released, it reaches C under the gravitational attraction of the ring. Its speed at C will be.   JEE Main Online Paper (Held On 26-May-2012)  
  A)
  \[\sqrt{\frac{2Gm}{r}\left( \sqrt{2}-1 \right)}\] 
  done clear
  B)
                         \[\sqrt{\frac{Gm}{r}}\]
  done clear
  C)
                         \[\sqrt{\frac{2Gm}{r}\left( 1-\frac{1}{\sqrt{2}} \right)}\]
  done clear
  D)
                         \[\sqrt{\frac{2Gm}{r}}\]
  done clear
  View Answer play_arrow