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

done AIEEE Solved Paper-2004 Total Questions - 5

• question_answer1) A satellite of mass\[m\]revolve around the earth of radius R at a bright\[x\]from its surface. If\[g\]is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellites is
  A)
  \[gx\]                   
  done clear
  B)
         \[\frac{gR}{R-x}\]            
  done clear
  C)
         \[\frac{g{{R}^{2}}}{R+x}\]            
  done clear
  D)
         \[{{\left( \frac{g{{R}^{2}}}{R+x} \right)}^{1/2}}\]
  done clear
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• question_answer2) The time period of an earth satellite in circular orbit is independent of
  A)
  the mass of the satellite
  done clear
  B)
  radius of its orbit
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  C)
  both the mass and radius of the orbit
  done clear
  D)
  neither the mass of the satellite nor the radius of its orbit
  done clear
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• question_answer3) If g is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth, is
  A)
  \[2\text{ }mgR\]
  done clear
  B)
                         \[\frac{1}{2}mgR\]
  done clear
  C)
  \[\frac{1}{4}mgR\]          
  done clear
  D)
         \[mgR\]
  done clear
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• question_answer4) Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to
  A)
   \[{{R}^{\left( \frac{n+1}{2} \right)}}\]   
  done clear
  B)
         \[{{R}^{\left( \frac{n-1}{2} \right)}}\]     
  done clear
  C)
         \[{{R}^{n}}\]                      
  done clear
  D)
         \[{{R}^{\left( \frac{n-2}{2} \right)}}\]
  done clear
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• question_answer5) The bob of a simple pendulum executes simple harmonic motion in water with a period t, while the period of oscillation of the bob is to in air. Neglecting frictional force of water and given that the density of the bob is\[(4/3)\times 1000\]\[kg/{{m}^{3}}\]. What relationship between t and\[{{t}_{0}}\]is true?
  A)
  \[t={{t}_{0}}\]   
  done clear
  B)
         \[t={{t}_{0}}/2\]              
  done clear
  C)
         \[t=2{{t}_{0}}\]
  done clear
  D)
         \[t=4{{t}_{0}}\]
  done clear
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