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 stone of mass m, tied to the end of a string, is whirled around in a circle on a horizontal frictionless table. The length of the string is reduced gradually keeping the angular momentum of the stone about the centre of the circle constant. Then, the tension in the string is given by \[T=A{{r}^{n}},\]where A is a constant, r is the instantaneous radius of the circle. The value of n is equal to.   JEE Main Online Paper (Held On 26-May-2012)  
  A)
   -1                                          
  done clear
  B)
  -2
  done clear
  C)
  -4                           
  done clear
  D)
  -3
  done clear
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• question_answer2) A thick-walled hollow sphere has outside radius\[{{R}_{0}}.\]It rolls down an incline without slipping and its speed at the bottom is \[{{v}_{0}}.\].Now the incline is waxed, so that it is practically frictionless and the sphere is observed to slide down (without any rolling). Its speed at the bottom is observed to be\[5{{v}_{0}}/4.\]The radius of gyration of the hollow sphere about an axis through its centre is.   JEE Main Online Paper (Held On 26-May-2012)  
  A)
  \[3{{R}_{0}}/2\]               
  done clear
  B)
  \[3{{R}_{0}}/4\]
  done clear
  C)
  \[9{{R}_{0}}/16\]                             
  done clear
  D)
  \[3{{R}_{0}}\]
  done clear
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