Looking for a Tutor Near You?

Post Learning Requirement »
x

Choose Country Code

x

Direction

x

Ask a Question

x

x
x
For better view click here
x
Hire a Tutor
DISCOVER

AIEEE 7

Loading...

Published in: AIEEE
356 Views

just another one for practice

Parteek S / Jaipur

4 years of teaching experience

Qualification: Pursuing Graduation

Teaches: Mental Maths, Chemistry, English, Logic, Mathematics, Economics, NSTSE, AIEEE, BITSAT, IIT JEE Mains, WBJEE

Contact this Tutor
  1. = 50 1. 2. 03. MOCK TEST Physics Let n and be the nullibecs of holes and in an extiinsic conduction electrons semiconductor : The wavefronts of a light wave traveling in vacuum are given by x + y + z = c. The angle made by the direction of propagation of light with the X-axis is (a) 00 (c) 900 (b) 450 -l cos The vector sum of three vecotrs a, b and c is zero. Ifå and b are in x-y plane then c would be : (g) inx-y plane (b) along z axis (cfiny-z plane (d) in z—x plane 4. Mark the correct one : 6. 7. 8. 9. 5. (a) Temperature is defined as the property of substance by virtue of which we sense its hotness or coldness (b) Temperature is related to kinetic energy of molecules of a material substance (S) both (a) and (b) (df None of the above An object is tossed vertically into the air with an initial velocity of 8 m/s. Using the sign convention up is positive, how does the vertical component of the acceleration a of the object (after leaving the hand) vary during the flight (b) On the way up ay > 0, on the way down (d) On the way up ay < 0, on the way down of object ? (a) On the way up a ay>0 ay 0, on the way down < 0, on the way down 2 e QChde A point charge q is placed in a cubical box of side a. If all the dimensions of box are changed by 3 then by what factor the flux crossing the box will change ? (a) Decreases by 9 times (b) Increases by 9 times. (c) Either (a) or (b) (Y) Doesn't change The total mechanical energy of a spring-mass system in simple harmonic motion is E = (1/2) ni(D2A2. Suppose the oscillating particle is replaced by another particle of double the mass, while the amplitude A remains the same. The new mechanical energy (b) become E/ 2 (a) become 2 E (c) become U E (d) remain E Two photons having : (a) Equal wavelengths have equal linear momenta (b) Equal energies have equal linear momenta (c) Equal frequences have equal linear momenta equal linear momenta have (d) Equal 'wavelengths Which equation is dimensionally incorrect, where symbol represent their usual meaning ? (a) I = p + mgt (b) (mv2/2)+ Fr (1/ g 0€0) A compass needle, which is allowed to move in a h01izontal plane, is taken to a geomagnetic pole. It : (a) will stay in north-south direction only (b) will stay in east-west direction only (c) will become 'rigid showing no movement (d) will stay in any position
  2. Ill affected by surrounding conducting bodies ? (a) Isrom the formula C = Q/ V, if Q changes, V changes and hence, C remains same (b) The plates of the capacitor are arranged in the field created by such a way that charges accumulated on thc platc is concentrated almost completely inside the capacitor (c) Capacitance clvanges due to induction phenomenon (d) Both (a) and (b) 12. An ice cube tray of negligible mass contains 0.35 kg of water at 200C. How much heat must be removed to freem the water = 3.34 x 105 J/kg) = 41: 90 J/kg-K, L f (a) 1.46 x 105 J (6) 105 J (c) 3x105J (d) 6x105J cl 13. The source voltage is 9 V and the source MOCK (a positive and continuously increasing negative and continuously increasing (c) positive and continuously decreasing (d) negative and continuously decreasing A ray is incident at an anglc of 200 to a plane mirror as shown in figure. If mirror is rotated by 100 in anticlockwise direction and incident ray is rotated by 100 in clockwise direction then through what angle the 16. c 17. 18. t 19. reflected ray will turn ? (a) 300, clockwise (b) 100, anticlockwise anticlockwisc (d) 100, clockwise Two identical bar each of magnets, length L and pole strength m are placed at right angle to each other with the north pole of one touching the south pole of the 200 14. resistance is 1 k Q. The current through the diode is : (a) 3.8 (b) 4.2 mA (c) 0.833 (Y) 8.3 rnA A 5g bullet going at 300 m/s strikes a 1.995 kg wooden block which is the bob of a ballistic pendulum. Find the speed at which block and bullet leave the equilibrium position and the height which the centre of gravity of the bullet- block system reaches above the initial position of the centre of gravity. [The bullet gets embedded into the block after collision] : (a) 0.5 rn/s, 0.03 m 0.75 rn/s, 0.03 m (cfo.5 rn/s, 02 m (d) 0.75 rn/s, 0.3 m G 15. The velocity versus time graph for two particles A and B are plotted as shown in figure. The relåtive velocity of/l with respect to B is : other. Find magnetic moment of the system. (a) Vim x2L (d) Zero A steel bar '10 cm long is welded end to end to a copper bar 20 cm long. Both bars are perfectly insulated on sides, each has cross-section area 4 cm-. The free end of steel rod is maintained at 1000C while that of copper rod is maintained at OOC. Find the temperature of the junction and rate of heat flow. (Themal conductivities of = 50.2 W/m-K and K = 384.6 W/m-K) steel (a) 20.70C, 31.8 W (b) 20.70C,15.9W (c) 10.350C, 15.9 W (d) 500C, 31.8 W Conside-r the situation shown in figure. The straight wire is fixed but the loop can move under magnetic force. The loop will :
  3. 'l (a) renuun stationaty (b) move towards the wire (c) rnove away Lfr011Ä the wire (d) 10tatc about the wire 20. '*l'wo spherical vessels oc equal volume are connected by a narrow tube. -rhe apparatus contains an ideal gas at 1 atm and 300 K. Now, if one vessel is immersed in a bath of constant temperature 600 K and other in a bath of constant temperature 300 K, then common ne ed pressure will be : (a) 1 atm (c) 4/3 a un (b) 4/5 atm (d) 3/2 aun 21. b 22. Find the electric potential, at the centre of uniformly charged circular ring having charge Q and radius R (a) Zero (c) 4TttoR (b) 2 25. c 26. C 27. 300 (a) 28 J, 34.6 J, 24 J (Y) 28 J , o J, .24 J (c) 24 J, 44 J, IS J (dj None of these The minimum kinetic energy needed to project a body of mass Ill from the earth's surface to infinity is : (g is acceleration due to gravity at earth's surface] (b) mgR (a) — mgR (d) 2 mgR (9 mgR el four resistors of 4Q each are connected in series and then connected' in parallel then the ratio of equivalent resistances in two cases IS . (a) 48 2 (b) 44 (d) 416 Two point charges having charges + 311C and 2PlC are placed 1 m apart in water. Calculate the Coulomb's force of attraction between them. for water = 81 : (a) 6.67 x 1011 N (b) 6.67 x 10-4 N (c) 3.34 x 10-4 N (d) 3.34x '1011 N A compass needle is placed in the gap of a parallel plate capacitor. The capacitor is connected to a batte1Y through a resistace. The compass needle : (a) does not deflect A player hits a football at some angle and runs on the ground to trap it before it hits the ground. In the above case . (a) displacement of football > displacement of player (b) displacement of football < displacement of player (c) displacement of football = displacement of player (d) can't say anything A Hec ion emits electromagnetic radiationot approximate wavelength 24.2 nm while undergoing u-ansition from one energy level to other. Determine the energy states involved in at 23. b 24. (b) deflects for a very short time and then comes back to the original position (c) deflects and remains deflected as long as the batte1Y is connected (d) deflects and gradually comes to the original position in a time which is large compared to the time constant A block moves up a 300 incline under the action of certain forces, three of which are shown in figure. Fl is horizontal and of magnitude 40 N. 172 is normal to the plane and of magnitude 28. 29. this process. (a) 1 and 5 (c) 1 and 4 (b) 2 and 0 (d) 1 and 2 20 N. Fg is parallel to the plane and of magnitude 30 N. Determine the work done by each force as the 'block (and point of application of each force) Inoves 80 cm up the incline. Mark the correct option : (a) Frequency of a wave is the characteristic property of source and it changes when medium changes (b) Frequency of wave is the characteristic property of source and its value does not changes when medium changes (c) Wavelength and velocity of light remain same when medium changes (d) Wavelength is the property of medium
  4. Q 30. A block of gelaun is 60 x 60 x 20 mm J when unstressed. A force of 0.245 N is applied 36. 37. Acceleration of each block is gtvcn Find the magnitude and divection cxcrtcd by string on pulley. Pulley tangentially to the upper surface, causing a 5 mm displacement El relative to the o 60 mm Smooth 450 3m Rough 450 surface. lower Fin(l the shearing stress, the shearing strain, and the shear modulus. (EL) 68.1 Pa, 0.25, 272.4 N/m2 (b) 88.1 Pa, 0.25, 172.4 N/m2 (c) 98.1 Pa, 0.25, 372.4 N/m2 (d) 68.1 Pa, 0.25, 472.4 N/m2 31. Electric conduction in discharge tube takes place due to . (a) ions and negative ions (b) positive ions and electrons (c) positive ions, negative ions and electrons (d) negative ions and electrons Ni62 is b 32. The neutral atomic msss oof 28 (a) 6 ntg/5, downward direction (b) 6 tng/5, upward direction (c) 6 mg/ 5, horizontal direction (d) Not possible to have acceleration Write down the expression for capacitance of a spherical capacitor whose conductors radii are RI and .1R2 (RI > R 2), when inner sphere is grounded : 4Ttt() RIR2 4Tt€o IR2 (b) (d) 2 4 b 38. 39. 33. c 'b 34. .62 61.928349 u, find the binding enery of 28 NI n = 1.008665 u nucleus. MH = 1.007825 u, M 2 = 511 keV/c2, lu x c = 931 MeV and me (b) 530.66 (a) 544.97 McV (d) 138.30 MeV (c) 500.00 MeV An electric current of 0.4 A is passed through a silver voltameter for half an hour. Find the amouni of silver deposited on the cathode. silver, of Electrochemical equivalent ECE= 1 x 10-6 kg/ c Find out the ratio of magnelic dihole fnoment to angular momentum for hydrogen like atoms and ions. e (a) m ch (c) e (b) 2m 2 me (d) 411 (c) 0.806 g (b) 8.06 g (d) None of these A flywheel originally at rest is to reach an angular velocity of 36 lid/s in 6.0 s. What constant angular acceleration must it have ? (a) 3 rad/s2 2 (c) 13 racV's (b) 6 rad/s2 (d) 24 rad/s2 For the system shown in figure, the loop has resistance R. Find the current flowing in loop ) due to induced emf at the instant shown b Viol x 2vb (a) 21tr (2r + a) x R 0 35. A block is moving with constant velocity on a then which one is horizontal surface, incorrect : (a) some force must act on the body (b) some forces may act on the body (c) nel force on the body must 'be zero (d) the body is in equilibrium (b) 21114 (H olvba) hr (r + a) x R vb (d) a
  5. li are ment ) has loop land the nuagnetie field at point O due to senil infinite wire shown in figure. x 45 out of plane of paper (4TtR ) 0— into the plane of paper (b) 4TtR 1) 01 out of plane of paper 47tR into the plane of paper 4TtR A particle is moving along x-axis, under the action of a variable force which is providing position vatying acceleration described by the m and equation, a = 3x —A. At t = 0, x = v = 0. Find the velocity and position of patticle (a) 0 IVs, (d) None of these (c) 0 m/ s, 4/3 m Mark the correct one (a) Work function is defined as the minimum energy needed to make the electron free from the atom (b) Photoelectric effect can take place if light has been incident on a free electron 44. 45. 46. Ma VIC the cot'ject options (a) For positive charge cal Siev e unent flows from higher potential to lower potential. While for negative charge carrier, it flows from lower to higher potential (b) For both positive and negative charge caniers current flows from higher* to lower potential (c) For both positive and negative charge carriers current flows from lower to higher potential (d) For negative charge carriers current flows from higher to lower potential while for positive charge carrier it flows from lower to higher potential An a-panicle passes through a potential difference of 2 x 106 V and then it becomes incident on a silver foil. The charge number of silver is 47. The energy of incident particles will be : (in joules) -12 (a) 5 x 10 -14 (c) 5.8* 10 e 13 (b) 6.4 x 10 -15 (d) 9.1 x 10 ic 41. 42. C 47. A close loop made up of insulating material, having cross-sectional area -10 cm is placed in a varying magnetic field which is increasing at the rate of 10 T/s €1'he plane of the loop is perpendicular to rnagnetic field. Calculate the induced emf and induced current. (d) Information is insufficient 'l'he deflection in moving coil galvanometer falls from 80 division to 40 division when a shunt of 20 Q is connected across it. Determine the galvanometer resistance. i 43. (a) 40Q (c) 200 (b) 300 (c) Photon vvorks on the principle of all or nothing while energy transfer (d) All of the above Two circular loops of equal radii are placed coaxially at some separation. The first is cut and a battety is inserted in between to drive a current in it. The current changes slightly because of the variation in resistance with tenlperature. During the period, the two loops . (a) attract each other (b) repel each other (c) do not exert any force on each other (d) attract or repel each othcr depending on the senseeof the cun-ent 48. 49. A barometer reads 74 cm on a steel stale; the room temperature is 250C. The scale is correctly graduated for OOC. Find the true = 1.2 x 10 *rc, atmospheric pressure = 1.8 x 10 A/oc. (a) 74.0042 cm (b) 76 cm (c) 74.878 cm (d) 74.0222 cm Mark the correct option : (a) Behaviour of moving charge along the circle is equivalent to current canyin! circular coil for instantaneous value as wel as for average value of magnetic field on it axis
  6. (b) If two identical charge particles arc moving symmetrically along a circle then its behaviour with respect to magnetic field on thc axis is equivalent to current carrying coil for both average and instantaneous value (c) For instantaneous value of magnetic field on thc axis, the charge moving along a circle is equivalent to current carwing circular coil (d) (b) and (c) both 50. A particle has been projected from the top of cl tower as shown in figure. Find the time taken by the particle to reach the ground. Takc 2. g = 10 m/ s 10 m/s -450 1 53. b 54. 10 55. — 2 (nienljn) Find the work done by the gas, which is undergoing cyclic process as shown on P-v curve. (kPa) 300 200 • 100 10 20 30 (a) 1571 J (c) 6283 J (b) -1571 J (d) - 6283 J A block of mass 10 kg is suspended through two light spring balances as shown in figure . Ground (c) 5.6 s (b) 6.28 s (d) 7.07 s 51. 52. A ball is thrown vertically up with a speed of 20 m/s. It is caught on Its way down 5 m above the point from 'where it was throvvn. The time lapse between the throw and catch is : (Take g = 10 m/s2) (a) 0.27 s (b) 3.73 s There is a point along the line joining the (a) (b) centre of the earth to the centre of the ,moon at which the two gravitational forces cancel. Find this point distance, x, from the eallh's centre. Use D for the earth-moon distance, and me and mm as the masses of carth and moon, respectively : [me - (memm)l/2 (a) 21) (me mm) [4m e - (memm)l/2J (me mm) 10 kg both the scales will read 10 kg both the scales will read 5 kg the upper scale will read '10 kg and the lower zero the readings lÄ1ay be anything but their sum will be 10 kg A tuning fork of frequecy 512 Hz is vibrated with a sonometer wire and 6 beats per second are heard. The beat frequency reduces, if the tension in the string is slightly increased. The original frequency of vibration of the string is i. (a) 506 1-Iz (c) 518 Hz (b) 512 (d) 524
  7. 56. u. 57. 58. 59. The oxidation number of nickel in the complex is . (9 zero (d) none of thesc Hall and Heroult's process is used for : @ extraction of Al (b) purification of Al.03 (c) refining of Al (d) none of thesc The composition of the common glass is (a) Nap scao .6si02 (b) Nap (c) CaO -.si02 (d) Nap .CaOA120j.6Si02 Two molecules CH3 —CFI— CdL—CH2 —01-1 CH3 and are . 63. 64. Cl 65. 66. 67. C 68. 69, Which of the following is not the property of atomic nucleus (a) Definite charge (b) Definite number of nucleons (c) Characteristic atomic number (4) Sharp boundary Which of the following could be added to water to make 0.10 M solution of NIII ? (b) NH4cl-3 (a) NIL (d) None of these (c) KNH2 The number of electrons lost during electrolysis of 2g Cl ions : (4) 3.39x 1022 (c) 1.20 x 1023 (b) 6.023 x 1023 (d) 2.46x 1023 rouoh ure : Id the their brated OH chain isomers position isomers functional isomers both (a) and (b) is purple in colour because it is complimentary colour of : (b) red (a) blue (4) (greenish) yellow (c) green I-lard water when passed through ion exchange resin containing RCOOH groups, becomes free 60. (Y (c) (d) CH from . (a) Cl- ions (c) ILO + ions (b) soi- ions, (d) Ca2" ions CH C03H 2 = CH—CH3 ----.-------2-----.--.-----.> CH The reaction is : (a) Diels-Alder reaction (b) Prileschees reaction (c) Wacker process (d) Ledrer-mannose reaction .;econd 61. if the lg is . 62. Glyptal is : (a) poly-ethylene pthalate (by)/ poly-ethyleneterepthalate (c) polyamide (d) poly ethyl methacrylate Which is not true about 0172 and CIP ? (a) Both are sp3 hybridized (b) Bond angle in OF2 is less than 109028' (c) Bond angle in C120 is greater than OF2 (A) Bond angle in both cases are 109028) '70. 71. The substance used as an activator in froth floatation process is . (a) potassium ethyl xanthate (b) sodium cyanide (c) copper sulphate (d) pine oil Carbon monoxide acts as a Lewis base because it has : (a)' a double bond between C and O atoms (b) a triple bond between C and O atoms (c) a lone pair of electrons on the C atom (d) two lone pairs of electrons on the O atom The decreasing order of catenation of group 16 elements is : Auto-oxidation of bleaching powder gives . (a) only calcium chlorate (b) only calcium chloride (c) only calcium hypochlofite (d) both (a) and (b)
  8. the coli ecl Oldel' of stability order) for, the lowing •molecule : Mc Me Me Me H Mc Me 76, 77. Me IV 111 > IV (a) 1 > Il > 111 > IV (b) I > 11 (c) IV > Ill > Il-I (d) Ill > | -11 > TV I UPAC naiue of the cornpou nci cH2 (a) 3-ethyl-2- methyl buta-l, 3-dicnc (b) 2-ethyl-3-methylbuta- 1,3-diene C) 2,3-dimethylidene pentane (d) 2-methyl-3-methylidene pent-I-ene Primary alcohol is readilk' oxidized into carboxylic acid by KMn04 in (a) acidic medium (b) basic medium (c) neutral medium (d) all of these eNH2 2 polymerisation NH—CH2 73. (a) (c) cH3 OH OH cH3 what is [A] ? (b) OCH2COCH3 (d) OH dry HCI cH3 HNYNY c o o 3 NH2 'X is : (a) HCOOH NIL Melamine polymer (b) I-ICHO (dj CH2=CH2 03; zn, CH3COOH 74. A 2 CH3 Original molecule ' A' is : (a) 3 (b) 3 c (c 3 (d) CH C —cH2 o o Il —C—CH3 + C02 3 79. 80. 81. In benzilic acid rearrangement : (a) benzaldehyde is convened into benzoin (b) benzoin is converted into benzilic acid (c) benzilic acid is converted into benzil (d) benzil is converted into benzilic acid Which of the group is most activating for E substitution on the benzene ting ? (a) —N02 (b) —CH3 (c) —NHCOCH3 Which has maximum dipole moment ? (a) (c) The weight of urea (moleculax• weight 75. The dipeptide glycylalanine contains : (a) glycine as C-teminal residue (b) glycine as N-terminal residue (c) alanine as N-terminal residue • (d) either (a) or (b) 60 needed to prepare 50.0 g of a solution in wat( in which the mole fraction of urea is 0.077 is (a) 38.5 g (c) 27.62 g (Y) 10.88 g (d) 15.04 g
  9. unclutn, oxide ions are arranged in hexagonal close packing and aluminium ions occupy two third of the octahedral voids. What is the formula ol' corrundum ? (a) Al (c) Alf) 2 (b) Algo„ (d) A1203 A convenient method 01 sepal lith chloride and sodium chloride is : (a) dissolve them in water and cool jn icc (b) fractional distillation (c) extraction with alcohol (d) both fractional crystallization and fractional distillation The only cations present in a slightly acidic solution arc Fe 4, Zn2+ and Cup 4 . The reagent that when added in excess to this solution vvould identify and separate Fe in one step 84. 85. 86. 6 87. The annount of done, when one mole of an ideal gas contained in a bulb of 10 L capacity at I atm is allowed to expand into an evacuated container of 100 L capacity . (a) 1.013 kJ Gas Critical tem erature T (K) (b) kJ (Y) IOW HCI co 324 190 134 s02 430 n C 90. b 91. 92. 93. 94. 95. is : (a) 2M MCI (c) 6M NaOH (b) 6M NIL (d) H2S gas In the context of given values of critical the decreasing order of temperature adsorption of various gases at charcoal is : (a) sop HOI > > CO (b) CO > > HCI > S02 (c) MCI > > CO > (d) > CO > > HCI The value of any of the colligative proper-ties of a colloidal sol as compåied to the value 'when it is part of true solution will be : (a) higher (c) equal (b) lower (d) can't be predicted Calculate the mole fraction of toluene in the vapour phase which is in equilibrium with a solution of benzene and toluene having a mole fraction of toluene 0.500. The vapour pressure of pure benzene is 119 torr, that of toluene is 37.0 torr at the same temperature (a) 0.237 (c) 0.50 (b) 0.76 (d) 0.75 88. 89. Which of the following statement is wrong about compressibility factor Z ? (a) For ideal gas Z = I (b) Z is the function of temperature and pressure (c) At low pressure Z = I (d) At high pressure Z = 1 Which of the following half cell reaction concerns to reference electrode ? The stability constants of the complexes formed by a metal ion (M 2 + ) with NHg, CN-, 1-120 and en are of the ovclér 1011, 1007 1015 and 1018 respectively. Then (a) en is the strongest ligand (b) CNZ is the strongest ligand (C) these values cannot pr•edict the strength of the ligand (d) all ligands are equally strong. A silvery white metal, lighter than water can be produced only by the electrolysis of its fused chloride with difficulty. The metal is used as coolant in nuclear reactors. The metal is : (b) Mg (c) Ca In analogy to a compound Nb[PtF61- will not be formed because . (a) the ionization enthalpy of N2 gas is higher than that of O d gas (b) the ionization enthalpy of N 2 gas is lower than that 02 gas (c) the ionization enthalpy of N2 gas IS higher than that of N atom (d) none of the above Dehydration of the alcohols will be in order : OH OH OH (a) (b) (c) (d) 02(g) + 4H+(aq)- 1.23 1 e- Hg(l) + Cl(aq) 2e- + 20H(aq) 0.83 2H2(g) -h 4 H 20(1) + (a) Ill > Il > IV > 1 (b) I > 11 > 111 > Iv (c) IV > Il > Ill > I (d) Ill
  10. -5>96 be synthesized from 96, n.butyraldehyde can n -pi opylemagnesium bromide and . (a) ethyl orthoformate (b) acetyl chloride (c) n-butyl fotaate (d) forTüic acid 97. Which of the following sequence of reaction is Br (b) Br oil Br cH3 OH Br Br OH Br cl 98. b 99. 100. RCH2NH2 ? (a) KMn04,• soc12 ; NH3; obr- (b) PBrg ; NacN ; H2/Ni (c) Collins reagent ; NIL, IL/ Ni (d) All of the above The reaction of primary aliphatic amines with nitrous acid gives a quantitative yield of nitrogen gas and is the basis of the van Slyke determination of amino nitrogen. What volume of nitrogen gas at STP would be liberated from 0.001 mole of proline ? (b) 73.1 mL (a) 44.8 mL (c) 123.01mL (d) O 2HBr Ch13 —C product Predominant product is : (a) CH3CH2 —CHBr2 (c) CH3CHBrCH2Br (d) none of the above 'NaN02 product H 2 SO 4 NH2 Predominating product is : (a) OH I (d) none of these ,N02 (c) cH3 OH Br (d) Br AfEET MOCK Ibr cH3 OH cH3 OH Br cH3 OH cH3 0 102. 103. 104. In which case the wavelength emitted is minimum ? (a) An electron jumps from 2nd to 1st level (b) An electron jumps from 3rd to 2nd level (c) An electron jumps from 4th to 3rd level (d) An electron jumps from 5th to 4th level Gaseous ethylene, C2i-14 reacts with hydrogen gas in the presence of platinum catalyst to form ethane according to A mixture of C2H4 and H2 known only to contain more 142 than C2H4 has a pressure of 52mm in an unknown volume. After the gas had been passed over a platinum catalyst, its pressure was 34 mm in the same volume and at the same temperature. Fraction of the ethylene molecules in the original mixture 2 OH Br2, CH3 (a) 0.222 (c) 0.346 (b) 0.654 (d) 0.421 Predojninant 'A' and 'B' are respectively : 3.7g of an oxide of a metal was heated with charcoal. The liberated C02 was absorbed in caustic soda solution and weighed 1.0 g. If the specific gravity of the metal is 0.095, the exact atomic weight of the metal is :
  11. 4 (a) 170.8 (c) 67.37 (b) 32.7 (d) 65.4 08. 1) 105. 106. In a cubic closed packed structure of mixed oxides, the lattice is made up of oxide ions, one eighth of tetrahedral voids are occupied by divalent ions (A 24), while one half of the octahedral voids are occupied by trivalent ions (133 + ) What is the formula of the oxide ? 109. (a) A3B204 (c) AB205 (b) A2B204 (d) AB204 The standard heat oc combustion of carbon(s) sulphur (s) and call)01i disulphide (l) are -393.3, -293.72 and 1108.76 kJ/m01 respectively. The standard heat of formation of carbon disulphide (l) is : (a) -128.02kJ (b) + 128.02 kJ (c) -218.42 kJ (d) + 218.42 kJ b 110. '107* Arrange the following aqueous solutions in order of increasing freezing points (that is lowest first); (a) 0.10 m C2H50H (b) 0.10 m (c) 0.10 m Na2S04 (d) 0.10 m KCI (e) 0.10 Li3P04 Mathematics The decomposition of N20 into NZ and O in prcsence of gaseous argon follows second mol-I S t) order kinetics with k 29000k/ T Activation energy of the reaction is : (b) 241 kJ mol-I e (a) 121 kJ mol -1 (d) none of these (c) 201 kJ mol-I Which of the following is not the assumption of kinetic theory of gases ? (a) The actual volume of the gaseous molecules is negligiblc as compared to the total voiume of the gas (b) Molecules are perfectly elastic (c) The clitical temperature is the measure of the kinetic energy of the molecule (d) The effect of gravity on motion of molecules is negligible In which of the following casc, increase in concentration of ion cause increase in E cell (a) Pt (HD IH+(Ag) (b) Ag, AgCl I Cl-(aq) (c) ptl Quinhydrone I H + (aq) (d) AglAg+ (aq) 1. 2. 3. 3 If 349 iy) = 2 k is : 1 3 3b IOO and x = 2 1 ky, then (a) 4a+ c > 2b (c) 4a+ c = 2b Ifco, c2, . expansion of k is : (c) If R and R' (b) 4a+ c < 2b (d) none of these . Cn are the coefficients of the (1 + x y, then the value of and log are in log If log a where a, b, c are in GP, then b, c are lengths of sides of : (a) an isosceles triangle (b) an equilateral triangle (9 a scalene triangle (df none of the above the 4. 5. (b) n (d) none of these symmetric relations (not disjoint) on a setA, then the relation R R' is : (b) symmetric (d) nbne of these are The roots of ce + bx + c = 0, where 0 and coefficients arc real, are non-real complex and a + c < b. Then : (a) (c) (a) (c) reflexive transitive , then sin + sinß+ silly is . > sin (u + ß + l) (b) < sin (u + y) = sin (a + 0 + y) (d) S sin (u + ß -l- y)
  12. cot X) o (log ion then the value of f' (x) at x = (d) nonc of these has a tangent 108. The culve given by x + y = e parallel to the y-axis at' the point : (d) none of these 9. •rhe cquation of conuuon tangent to the 2 = 4ay is 2 = and X Let r be the range and SE a set 01 observations parabola y (d) ) 10. The distance between 2x-y+2zH. 3-0 and none of these the parallel planes Sit, 10' The value of lim (a) 3+ log 4 (c) 3— log 4 then (d) none of these = a log (I + x b tan- x + log I x + 21 + c, then 10' 3n is 411 (b) 4- 310g3 (d) 3— 'log 3 (c) 36 value 11. The (c) pqr (b) (d) of 3 the detenninant (d) 3pqr 12. 10 apples are distributed at random among 6 persons. The probability that at least one of them will receive none, is 16. c 17. 418. 19. The slope of the tangent at (x, y) to a curve is given by passing through 2 , then the equation of the culve — cos is : (a) y tan- log (b) y = x tan — x tan 100 (d) none of the above The locus of the mid point of AB of a variable line drawn through the point of intersection of 143 137 (c) 143 (b) (d) none of these straight lines 1 and + = 1 meets 13. At the foot of a mountain the elevation of its After ascending 'h' m peak is found to be toward the mountain up a slope of inclination, the elevation is found to be 3 Height of the mountain is . the co-ordinate axes at A and B, is e. 2 xy ((1 + B) = (x + y) (b) 2 xy = Clß (u + O) (c) 2 xy (u + 0) = (d) none of the above If the distance of a given point (u, b) from each of two straight lines through the origin is d, then the value of ßx)2 is equal to : (a) (12 (x 2 — y 2) (c) c12 (x + Y) (d) none of these
  13. 20. d 21. MOCK •Che common tangents to the circles 2 -2 (a) an equilatcral triangle (b) an isosceles tiiangle (c) nght angled triangle (d) none oc the above The equation of the hyperbola passing through , —1) and having asymptotes the point (1 x H. 2)' + O and 3x + 4y+ 0 is : (a) 3x2 + 8y2 + + + 22y = O (b) ;3x2 4 8)' 2 + 'IOAY + 4x + 22y + 7 = O (C) 3X2 + 8)' 2 + 14X + 22)t + 7 = O Y + 2—— and 3 2 —4 8x+ + + 37=0 (c) 8x+ 37=0 (d) none of the above 26. 27. 29. J 30. | 31. 32. • rhe value of (b) O, if n is odd (a) it, if n 'is even (c) O, if n is even solutions real number of The 7 The Lluee 1001s of the equation 2 x 41 , 81 - ( + 14x+ +7=0 22. The moment of the couple consisting Of the force F = 3i + 2j —IQ acting through the point i —J+ IQ and F acting through the point (d) none of these (d) none of these If the plane 2ax t— 3ay + 4az + 6=0 passes through the rnid point of line joining the the of centres 2 2 2 spheres and 23. 24. LetABCD be the parallelogram whose sides AB and AD are represented by che vectors 2i + 4j 5k and i + 2j + 3k respectively. Then if å is a unit vector parallel to AC, then A is equal to : 1 1 (a) - (3} 6j- 211) (b) (3i + 6j+ 210 3 1 (3i -6j -311) + 6j-2k) (c) The equation of the plane through the point to the lines (2, l, —3) and parallel z2 _ 1 Ox + 4y 2z = 8, then 2 2 equals : If the line of action of 'the resultant of tvvo forces P and Q divides the angle between them in the ratio 1: 2, then the magnitude of the resultant is . (b) +Q2)/Q (d) (1)2 —Q 2) U Q (c) (P2 -Q2)/P "I*he greatest value of x y , when 3x + 4) k is : 2 —3 is . 3 (a) 6 (c) 1 111m 3 (b) (d) none of these t-- 2, then the locus of the point The speed of a train increases at a constant rate u from 0 to v, then remains constant for an interval and finally decreases to zero at a constant rate Il s be the total distance covered, then the total time occupied is : 33. representing z 'in the complex 'Plane is : (a) a circle (b) a straight line (c) a parabola (€1) none of the above If the angle of a triangle are '30' and 450, and the included side is (03 ,+'1) cm, then the area 1 2 1 1 (c) of the triangle is : 1 (b) (d) - (0+1) s (d) 1 1 1
  14. (d) none of these VA cone of maximum volume is inscribed in: a given sphere, then ratio of the hciäht cf ,tY.e cone (o diameter of the sphere is . 'i'he area of one curvilinear triangle forrned by IliC cujveS y = sin x, y = cos x and x-axis is (a) (2+ E) sq unit (b) (2— C) sq unit (c) (02 — 2)sq unit (d) none of these 37, The locus of the foot of the perpendicular (irawn from either focus upon any tangent to the ellipse Apr.). at let-st the satuc birthday, •i.e.

Need a Tutor or Coaching Class?

Post an enquiry and get instant responses from qualified and experienced tutors.

Post Requirement

Related Study Notes

Upload Study Notes

If you have your own Study Notes which you think can benefit others, please upload on LearnPick. For each approved Study Note you will get 100 Credit Points and 100 Activity Score which will increase your profile visibility.

Upload Now
Home > Study Notes > AIEEE 7