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AMUEEE 2017 Mathematics Question paper with answer key pdf conducted on April 30, 2017 is available for download. The exam was successfully organized by Aligarh Muslim University. The question paper comprised a total of 50 questions.
AMUEEE 2017 Mathematics Question Paper with Answer Key PDFs
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AMUEEE Questions
1. 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 $ ?
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 $
2. 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
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)
3. 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 $
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 $
4. 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?
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 $
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 $ ?
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 $
6. Figure shows three arrangements of electric field lines. In each arrangement, a proton is released from rest at point $ A $ and then accelerated through point $ B $ by the electric field. Points $ A $ and $ B $ have equal separations in the three arrangements. If $ p_{1}, p_{2} $ and $ p_{3} $ are linear momentum of the proton at point $ B $ in the three arrangement respectively, then
Figure shows three arrangements of electric field lines. In each arrangement, a proton is released from rest at point $ A $ and then accelerated through point $ B $ by the electric field. Points $ A $ and $ B $ have equal separations in the three arrangements. If $ p_{1}, p_{2} $ and $ p_{3} $ are linear momentum of the proton at point $ B $ in the three arrangement respectively, then
- $ p_{1} > \, p_{3} > \, p_{2} $
- $ p_{1} > \, p_{2} > \, p_{3} $
- $ p_{2} > \, p_{1} > \, p_{3} $
- $ p_{3} > \, p_{2} > \, p_{1} $
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