AMUEEE 2018 Mathematics Question Paper with Answer Key PDFs (April 29)

AMUEEE Questions

• 1.

  The electrode potential, $ E^{\circ} $ , for the reduction of $ MnO^{-}_{4} $ to $ Mn^{2+} $ in acidic medium is $ +1.51\, V $ . Which of the following metal(s) will be oxidised? The reduction reactions and standard electrode potentials for $ Zn^{2+}, Ag^{+} $ , and $ Au^{+} $ are given as $ Zn^{2+} (aq) +2e \to Zn(s), E^{\circ} = -0.762\, V $ $ Ag+ (aq) +e {\rightleftharpoons} Ag (s), E^{\circ}=+0.80 \,V $ $ Au^{+} (aq) +e {\rightleftharpoons} Au(s), E^{\circ}+1.69\,V $

  • $ Zn $ and $ Au $
  • $ Ag $ and $ Au $
  • $ Au $
  • $ Zn $ and $ Ag $
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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 rate constant, the activation energy and the Arrhenius parameter of a chemical reaction at $ 25^{\circ}C $ are $ 3.0 \times 10^{-4} \, s^{-1} $ , $ 104.4 \, kJ \, mol^{-1} $ and $ 6.0 \times 10^{14} \, s^{-1} $ , respectively. The value of the rate constant at $ T \rightarrow \infty $ is

  • $ 2.0 \times 10^{18} \, s^{-1} $
  • $ 6.0 \times 10^{14} \, s^{-1} $
  • $ 3.6 \times 10^{30} \, s^{-1} $
  • Infinity
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• 4.

  A rocket is moving at a speed of $ 200 \,m/s $ towards a stationary target. While moving it emits a wave of frequency $ 1000 \,Hz $ . Some of the sound reaching the target gets reflected back to the rocket as an echo. The frequency of the echo as detected by the rocket is (velocity of sound $ = 330 \,m/s $ )

  • $ 1000\, Hz $
  • $ 1580\, Hz $
  • $ 2540\, Hz $
  • $ 4080\, Hz $
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• 5.

  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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• 6.

  $ 0.002\, M $ solution of a weak acid has an equivalent conductance $ (\wedge) 60\, ohm^{-1}\, cm^{2}\, eq^{-1} $ . What will be the $ pH $ ? (Given : $ \wedge = 400 \, ohm^{-1} \, cm^{2} \, eq^{-1} $ ]

  • $ 3.52 $
  • $ 2.52 $
  • $ 1.87 $
  • $ 2.7 $
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