AMUEEE 2017 Mathematics Question Paper with Answer Key PDFs (April 30)

AMUEEE Questions

• 1.

  The air pressure at sea level is $ 101325 \,Pa $ . At the centre of a rarefaction of a sound wave in air, the pressure is $ 91000 \,Pa $ . Which is the most likely pressure at the centres of a compression of the same wave?

  • $ 91000\, Pa $
  • $ 101000\, Pa $
  • $ 111650\, Pa $
  • $ 121000\, Pa $
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• 2.

  The time-period of a physical pendulum is $ 2\pi\sqrt{I /mgd} $ , where $ I $ is the moment of inertia of the pendulum about the axis of rotation and $ d $ is perpendicular distance between the axis of rotation and the centre of mass of the pendulum A circular ring hangs from a nail on a wall. The mass of the ring is $ 3 \,kg $ and its radius is $ 20\, cm $ . If the ring is slightly displaced, the time of resulting oscillations will be

  • $ 1.0 \, s $
  • $ 1.3 \, s $
  • $ 1.8 \, s $
  • $ 2.1 \, s $
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• 3.

  The $ EAN $ value $ y \left[Ti\left(\sigma-C_{6}H_{5}\right)_{2}\left(\pi-C_{5}H_{5}\right)_{2}\right]^{0} $ is

  • $ 32 $
  • $ 33 $
  • $ 34 $
  • $ 35 $
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• 4.

  Figure shows a potentiometer. Length of the potentiometer wire $ AB $ is $ 100 \,cm $ and its resistance is $ 100\, \Omega $ . $ EMF $ of the battery $ E $ is $ 2 V $ . A resistance $ R $ of $ 50 \Omega $ draws current from the potentiometer. What is the voltage across $ R $ when the sliding contact $ C $ is at the mid-point of $ AB $ ?

  

  • $ 2/3 \,V $
  • $ 1\, v $
  • $ 4/3 \,V $
  • $ 3/2 \,V $
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• 5.

  Three particles, two with masses $ m $ and one with mass $ M $ , might be arranged in any of the four configurations shown below. Rank the configurations according to the magnitude of the gravitational force on $ M $ , least to greatest

  

  • (i), (ii), (iii), (iv)
  • (ii), (i), (iii), (iv)
  • (ii), (i), (iv), (iii)
  • (ii), (iii), (iv), (i)
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• 6.

  The only force acting on a $ 2 \,kg $ body that is moving in $ xy- $ plane has a magnitude of $ 5\, N $ . The body initially has a velocity of $ 4 \,m/s $ in the positive $ x $ -direction. Some time later, the body has a velocity of $ 6 \,m/s $ in the positive $ y- $ direction. The work done on the body by the $ 5 \,N $ force during this time is

  • 20 J
  • 40 J
  • 50 J
  • 72 J
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