mathematics - doubtion · mathematics 1. the area of the region covered by the curve y y x2 2 4 9...

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MATHEMATICS 1. The area of the region covered by the curve 2 2 4 9 0, y y x with the x-axis and the tangent line to the curve at A (6, 3) is______ 1) 1/4 2)15/4 3)9/4 4)45/4 2. Let 2 , 2 are the roots of the quadratic equation 2 2 2 0 x x then the value of 18 18 ______ 1) 8 2 i 2) 8 2 i 3) 9 2 i 4)0 3. Let y (0) =0 and 2 1 2 2 1 . 1 4 dy dy x and y dx x dx then the value of y (1)=____ 1)1/4 2)-1/4 3)1/12 4)-1/12 4. Let 1 2 3 , , z z z are three complex numbers and 2 2 2 1 2 3 1 2 3 2, 0 z z z z z z then the value of 3 3 3 1 2 3 z z z ________ 1)0 2)3 3)8 4)24 5. Let ,,, abcd R , 2 a b , 3 b c , 4 c d then the maximum value of a d 1)11 2)3 3)5 3)9 6. The sum of all the positive real solutions of 1 3 1 sin 1 sin 2 x x is 1)0 2)1 3)2 4)3 7. Let the curves 2 2 1 x y , and 2 2 1 1 x y intersect at 1 1 2 2 , , , Px y Qx y then the value of 1 2 x x ___ 1)1 2)2 3) 1 3 4) 2 2 3 8. Consider 25 identical balls if we distribute all the balls into 6 different bags then the probability of atleast one bag contains atleast 5 balls is 1)1/4 2)1/2 3)1 4)1/3 9. Let 20 10 2 0 1 . r r r x x a x then the value of 8 12 a a ________ 1)4 2)3 3)2 4)1 10. Let a,b are real numbers, let a relation “R”, aRb, such that 1 a b then the relation ‘R’ is

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Page 1: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

MATHEMATICS 1. The area of the region covered by the curve 2 2 4 9 0,y y x with the x-axis and the

tangent line to the curve at A (6, 3) is______ 1) 1/4 2)15/4 3)9/4 4)45/4 2. Let 2 , 2 are the roots of the quadratic equation 2 2 2 0x x then the value of

18 18 ______

1) 82i 2) 82

i 3) 92i 4)0

3. Let y (0) =0 and 2

12

2 1. 14

d y dy x and ydx x dx

then the value of y (1)=____

1)1/4 2)-1/4 3)1/12 4)-1/12 4. Let 1 2 3, ,z z z are three complex numbers and 2 2 2

1 2 3 1 2 32, 0z z z z z z then the value of 3 3 3

1 2 3z z z ________ 1)0 2)3 3)8 4)24 5. Let , , ,a b c d R , 2a b , 3b c , 4c d then the maximum value of a d 1)11 2)3 3)5 3)9 6. The sum of all the positive real solutions of 1 3 1sin 1 sin

2x x is

1)0 2)1 3)2 4)3 7. Let the curves 2 21x y , and 2 21 1x y intersect at 1 1 2 2, , ,P x y Q x y then the value

of 1 2x x ___ 1)1 2)2 3) 1 3 4) 2 2 3 8. Consider 25 identical balls if we distribute all the balls into 6 different bags then the

probability of atleast one bag contains atleast 5 balls is 1)1/4 2)1/2 3)1 4)1/3

9. Let 20102

0

1 . rr

r

x x a x

then the value of 8

12

aa

________

1)4 2)3 3)2 4)1 10. Let a,b are real numbers, let a relation “R”, aRb, such that 1a b then the relation ‘R’

is

Krisnaveni clg
Typewritten text
KRISHNAVENI IIT & Medical Academy Sr IPL MAINS Dt:08-05-2020
Page 2: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

1) Reflexive 2) symmetric 3)transitive 4)reflexive and symmetric 11. Let an arithmetic progression whose 5 ,9 ,11th th th terms are in G.P then the common ratio

of the G.P is________ 1)2 2)3 3)3 4)1/4 12. Let 0 0 0 0 0 0sin1 cos3 , sin 2 cos2 , sin3 cos1A B C then 1)A=B 2)A>C 3)B<C 4)A=B=C 13. Let the planes 2 3 4 0x y z , 2 3 4 0x y z , 2 3 4 0x y z has infinite number of solutions then the number of

possible values of ' ' =__________ 1)0 2)1 3)3 4) infinity 14. Let the tangent lines drawn from P (1, 1) to the circle, 2 2 1x y , they touch the circle

at A,B then the centroid of the PAB is_______

1) (0, 0) 2) 1 1,2 2

3) 2 2,3 3

4) 1 1,3 3

15. A bag contains 4-coins having both sides heads and 4-other fair coins, now a coin is selected from the bag then tossed, the probability that the coin shows head is____

1)3/8 2)3/4 3)1/4 4)1/8

16. It 21

2l2

n

n r

rtn r

________

1)1 2)2 3)1/2 4)0 17. Let the tetrahedron OABC, OA=4, OB=2, OC=3 and AB=3, BC=4, CA=2 then the

square of the distance between the midpoint of AB andOC 1)10 2)5 3)11/2 4)20 18. Let ABC ,the feet of in-center up on the sides BC , CA , AB of ABC are (3,4),(4,3),(5,0)

respectively, then the slope of the internal angle bisector of A is________ 1)1 2)2 3)3 4)1/3

Page 3: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

19. The value of

44 6 4

0

6 4

0

sin 2 cos 2

sin 2 cos 2

t

t

e t t dt

e t t dt

=_______

1) 4 1

1ee

2) 4 1

1ee

3) 4 2

2ee

4) 4 2

2ee

20. Let a data of 30 elements of which 10 elements are identical to 12

d , 10elements are

identical to ½, and the rest 10 elements are identical to 12

d then the standard

deviation of all 30-elements is=______

1) 3

d 2) 23

d 3) 2 .3

d 4) 223

d

21. The length of the maximum common chord of two parabolas 2 21 , 1y x x y 1) 2 5 2) 10 3) 5 2 4)10 22. The logical statement p q p q q r is equivalent to 1) p r 2) p q r 3) p r q 4) p q r 23. Consider an ellipse and a hyperbola in their standard forms, and one passes through the

foci of other, then the product of their eccentricities =_____ 1)1/2 2)1/4 3) 2 4)1

24. Let matrix 3 2

1 4 ;2 2

xA y

z

x.y.z=2019, 8x+4y+3z=2020, then the determinant of “A (adj A)” is

1) 93 2) 33 3) 63 4) 83 25. A person standing on the bank of a river observe that the angle of elevation of the top

of a tree on the opposite bank of the river is 060 and when he retires 40m away from the tree the angle of elevation becomes 030 . The width of the river is

1)40m 2)30m 3)20m 4) 20 3m

Page 4: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

26. Let 2 2a i j k and b i j . If C is a vector such that . , 2 2a c c c a and the angle

between a b and c is 030 , then a b c ______

1)2/3 2)3/2 3)2 4)9/4 27. The number of ways of choosing ‘n’ objects out of (3n+1) objects of which ‘n’ of them

are identical and (2n+1) of them are distinct, is 1) 22 n 2) 2 12 n 3) 22 1n 4) 2 12 n 28. If 2 2 4 2 2 4f x x x x x 1) f is differentiable at all points of its domain except x=4 2) f is differentiable on 2,

3) f is differentiable on , 4) 0 2,6f x for all x

29. The sum of the intercepts made by any tangent to the curve , 0x y a a with the coordinate’s axes is

1)2a 2) a 3) a/2 4) a

30. 12 2

3 31 , 0 0 27f x x x dx f then f

1) 2 2)

3 3)

4 4)

PHYSICS 31. Ultraviolet light of wavelength 1 and 1 2 1( ) when allowed to fall on hydrogen atoms in their

ground state is found to liberate electrons with maximum kinetic energies 1 2E and E respectively. The value of Planck`s constant can be found from the relation

1) 2 1 1 21 ( )( )h E Ec

2) 2 1 1 2

1 ( )( )h E Ec

3)

1 2 1 2

2 1

( )E Ehc

4)

1 2 1 2

1 2

( )E Ehc

32. A particle is moving along straight line with initial velocity +7 m/sec and uniform acceleration -2 2/ secm the distance travelled by the particle in 4th second of its motion is:

1) Zero 2) 0.25 m 3) 0.5 m 4) 7 m

Page 5: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

33 Four wire A, B, C and D each of length 10cm and each of area of cross section is 20.1m are connected in the given circuit then, the position of null point is

Given that resistivity 1 ; 3 ; 6 ; 1A B C Dm m m m 1) Midpoint of wire B or wire C when both the switches 1 2S and S open 2) Midpoint of wire B when both the switches 1 2S and S are closed. 3) Midpoint of wire D when both the switches 1 2S and S are open 4) 3 cm from the left end of B when both the switches 1 2S and S open.

34 Consider a l – R circuit shown in figure. There is no current when switch S is closed at t = 0, time instant when current in inductor is equal to current in resistor 2R will be:

1) 2L n

R

2) 2 2L n

R

3) 2

2L nR

4)

2LR

35. The figure given below shows the variation in the internal energy U with volume V of 2.0 moles of an ideal gas in a cyclic process a-b-c-d-a. The temperatures of the gas during the processes ab and cd are 500K and 300K respectively, the heat absorbed by the gas during the complete process is: (Take R = 8.3 J/mol–K and ln 2 = 0.69)

Page 6: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

(1) 3283 J (2) 2554 (3) 2141 J (4) 2291 J 36 Carbon resistor has resistance specified by three bands having colours red, yellow and black. If the

resistor is remolded to make a resistor twice of previous length, the new colour code will de 1) White, blue, black 2) Red, orange, black 3) Brown, red, black 4) Yellow, gray, black 37 Magnetic moments of two identical magnets are M and 2M respectively. Both are combined in such

a way that their similar poles are same side the time period in this is case. 1T .If polarity of one magnets is reversed its period becomes 2T than find out ratio of their time periods 1 2/T T

1) 3 2) 13

3) 1 4) 13

38 A telescope consisting of an objective of focal length 60 cm and a single-lens eye piece of focal length 5 cm is focused at a distant object in such a way that parallel rays emerge from the eye piece. If the object subtends an angle of 2 at the objective, then find the angular width of the image

1) 6 2) 12 3) 24 4) 16

39 One side of a glass slab is silvered as shown. Ray of light is incident on the other side at angle of incidence 45oi refractive index of glass is given as 1.5. The deviation of the ray of light from its initial path when it comes out of the slab is:

1) 090 2) 0180 3) 0120 4) 045

Page 7: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

40. A string fixed at one end is vibrating in its second overtone. The length of the string is 10 cm and maximum amplitude of vibration of particles of the string is 2mm. Then the amplitude of the particle at 9cm from the open end is:

(1) mm3 (2) mm2 (3) mm23 (4) None of these

41. A uniform metal rod (fixed at both ends) of 22 mm cross-section is cooled from 040 C to 020 C . The co- efficient of the linear expansion of the rod is 612 10 per degree & its young modulus of elasticity is 11 210 /N m . The energy stored per unit volume of the rod is

1) 32880 /J m 2) 31500 /J m 3) 35760 /J m 4) 31440 /J m 42. Two point objects are placed on principal axis of a thin converging lens. One is 20cm from the lens

and other is on the other side of lens at a distance of 40 cm from the lens. The images of both objects coincide. The magnitude of focal length of lens is

1) 803

cm 2) 403

cm 3) 40 cm 4) 203

cm

43. An N-P-N transistor is connected in common emitter configuration in which collector supply is 9V and the voltage drop across the load resistance of 1000 connected in the collector circuit is 1V. If current amplification factor is 25 / 26 , if the internal resistance of the transistor is 200 , then which of the following options is incorrect:

1) 8CEV V 2) collector current is 1.0 mA

3) Voltage gain5023

, and power gain is 4.6 4) emitter current is 1.04 mA

44. A sample of hydrogen atoms is in excited state (all the atoms). The photons emitted from this sample are made to pass through a filter through which light having wavelength greater than 800 nm can only pass. Only one type of photons is found to pass the filter. The sample's excited state initially is: [Take hc = 1240 eV -nm, ground state energy of hydrogen atom = 13.6 eV]

1) 5thexcited state 2) 4thexcited state 3) 3rd excited state 4) 2nd excited state

Page 8: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

45. Two concentric conducting spheres of radii R and 2R carrying charges Q and -3Q respectively. If the charge on inner sphere is doubled, the potential difference between two spheres will:

1) Become two times 2) become four times 3) Remain same 4) be halved 46. In the given circuit, when key K is open, reading of ideal ammeter is I. Now key K is closed, then

correct statement(s).

1) If 1E IR reading of ammeter is less than I. 2) If 1 2IR E IR reading of ammeter is greater than I. 3) If 1 2E IR reading of ammeter is zero 4) If 1 2E IR reading of ammeter is I 47. The average rotational kinetic energy of hydrogen molecule at a temperature T is E. The average

translational kinetic energy of helium at same temperature will be

1) 23E

2) 53E

3) E 4) 32E

48. A carrier wave of peak voltage 12 V is used to transmit a message signal. What should be the peak voltage of the modulating signal in order to have a modulation index of 75%?

(1) 18 V (2) 9 V (3) 16 V (4) 27 V 49. The half life of a radioactive isotope ‘X’ is 20 years. It decays into another stable element ‘Y’. The

two elements ‘X’ and ‘Y’ were found to be in the ratio 1: 7 in a sample of a given rock. Then age of the rock is estimated to be:

1) 60 years 2) 80 years 3) 100 years 4) 40 years 50. A thin uniform rod of length l is hinged at one end & is released from the vertical position as

shown. The speed of the centre of the rod when the rod makes an angle from the vertical.

Page 9: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

1) 6 sin

2gl 2) 3 sin

2gl 3) 1.5 sin

2gl 4) sin

2gl

51. A slab of stone of area 20.36 m and thickness 0.1m is exposed on the lower surface to steam at 0100 C . A block of ice 00 C rests on the upper surface of the slab. In one hour 4.8 kg of ice is melted. The thermal conductivity of slab is approximately:

(Given latent heat of fusion of ice = 5 13.36 10 J kg ) 1) 01.24 / / /J m s C 2) 01.69 / / /J m s C 3) 02.05 / / /J m s C 4) 01.02 / / /J m s C 52. Consider the shown arrangement the coefficient of friction between the two blocks is 0.5. There is

no friction between 4 kg block and horizontal surface. If a horizontal force of 12N is applied on 2kg block as shown in figure, acceleration of 4 kg block would be 210 /g m s

1) 22.5 /m s 2) 22 /m s 3) 25 /m s 4) 21 /m s 53. Starting at rest, a 5 kg object is acted upon by only one force as indicated in figure. Find the total

work done by the force.

Page 10: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

(1) 70 J (2) 80 J (3) 90 J (4) None of these 54. A car is travelling north along a straight road at 150km hr . An instrument in the car indicates that

the wind is directed towards east. If car’s speed is 180km hr , then instrument indicates that the wind is directed towards south-east. The angle made by wind’s direction is given by

1) 1 3tan5

N of E

2) 1 5tan3

N of E

3) 1 1tan2

N of W

4) 1tan 5 N of E

55. A satellite of mass ‘m’ is orbiting a planet of mass M in a circular orbit of radius R. The satellite changes its orbit by expelling small amount of fuel [5% of its existing mass] with high speed U (w.r.t stationary frame) in a direction opposite to the direction of its orbital velocity. Find

maxU (approximately) of the expelled mass for which, satellite cannot escape the gravitational field of planet.

1) 1/ 2GM

R

2) 1/2

5 GMR

3) 1/2

7 GMR

4) 1/2

3 GMR

56. A student performs an experiment to determine the Young’s modulus of a wire, exactly 2m long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of 0.05mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4mm with an uncertainty of 0.01mm . Take 29.8m/ sg (exact) and

4916

(exact). The Young’s modulus obtained from the reading is most appropriately given by.

1) 11 22.0 0.3 10 /N m 2) 11 22.0 0.2 10 /N m

3) 11 22.0 0.1 10 /N m 4) 11 22.0 0.05 10 /N m

Page 11: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

57. For the damped oscillator shown in figure, the mass m of the block is 200g, 190k Nm and the damping constant b is 140gs . Calculate the time taken for its amplitude of vibrations to drop to half of its initial value.

A damped simple harmonic oscillator. A vane immersed in a liquid exerts a damping force on the

block as it oscillates up and down. 1) 1 s 2) 3.5 s 3) 7 s 4) 14 s 58. The electrostatic flux in SI unit through shaded portion OAB due to a point charge Q, kept at point

,0,P a a as shown in the figure. (given 096Q coulomb, numerically) OA OB a

1) 1 2) 2 3) 3 4) 4

59. Two long parallel wires A and B situated perpendicular to the plane of the paper at a distance 2a are carrying equal current I in opposite directions as shown in the figure. The value of magnetic induction at point P situated at equal distance r from both the wires will be

Page 12: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

1) 024

iar

2) 022

iar

3) 02

iar

4)2 2

02

i r ar

60. Unpolarized light of intensity 232Wm passes through three polarizer’s such that transmission axis of the first and second polarizer makes an angle 030 with each other and the transmission axis of the last polarizer is crossed with that of the first. The intensity of final emerging light will be

1) 232Wm 2) 23Wm 3) 28Wm 4) 24Wm

CHEMISTRY

61. 20 ml of 2 2H O after acidification with dil. 2 4H SO Required 30 ml of 412

N KMnO for complete

oxidation. The strength of 2 2H O solution is [Molar mass of 2 2H O = 34] 1) 2 /g L 2) 4 /g L 3) 8 /g L 4) 6 /g L 62. Which of the given statement(s) is/are false.

I. Orbital angular momentum of the electron having n =5 and having value of the azimuthal quantum

number as lowest for this principle quantum number is h

.

II. If 3, 0, 0,n l m for the last valence shell electron, then the possible atomic number must be 12 or 13.

III. Total spin of electrons for the atom 25 Mn is 72

.

IV. Spin magnetic moment of inert gas is 0. 1) I, II and III 2) II and III only 3) I and IV only 4) II & IV only

Page 13: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

63. For a real gas under low pressure conditions, which of the following graph is correct?

1) 1/Vm

Z }1

2) 1/Vm

Z }1

3) 1/Vm

Z

4) 1/Vm

Z }1

64. Solid ammonium cyanide decompose into 3 &NH g HCN g reversibly. The two gases are in equimolar ratio at all moments. If pK for 4 3NH CN s NH g HCN g is 4 atm. The increase in moles of ammonia due to decomposition is 33.3% then maximum amount of solid decomposed is

(V-volume of container & T-temperature) 1) V/RT moles 2) 2V/RT moles 3) V/3RT moles 4) 3V/RT moles 65. Which has maximum solubility AB, AB2, AB3 and AB4 if SPK for all the salts are 1010 ? 1) AB 2) AB2 3) AB3 4) AB4

66. Calculate the enthalpy change when 50ml of 0.01M 2Ca OH reacts with 25 mL of 0.01 M HCl.

Given that 0H neutralisation of a strong acid and strong base is 140 kcal/eq. 1) 14 cal 2) 35 cal 3) 10 cal 4) 7.5cal 67. For the reaction 2 2 22 2 2NO g H g N g H O g the rate expression can be written in the following ways:

2 21 2 2;

d N d H Ok NO H k NO H

dt dt ; 2

2 1 2' ; ''d NO d H

k NO H k NO Hdt dt

The relationship between 1 1 1, , ' , ''k k k k is 1) 1 1 1' ''k k k k 2) 1 1 12 ' ''k k k k 3) 1 1 12 ' ''k k k k 4) 1 1 1' 2 ''k k k k 68. The following facts are available 2 2 2 2 22 2 ;2 ;2 2A B B A C B No reaction D A A D Which of the following is correct? 1)

2 2 2 2

0 0 0 0| | | |C C B B A A D D

E E E E 2) 2 2 2 2

0 0 0 0| | | |C C B B A A D D

E E E E

3) 2 2 2 2

0 0 0 0| | | |C C B B A A D D

E E E E 4) 2 2 2 2

0 0 0 0| | | |C C B B A A D D

E E E E

Page 14: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

69. The silver perchlorate benzene complex, 4 6 6.AgClO C H is orthorhombic with unit cell dimensions

0 7.96a , 0 8.34b and0

0 11.7c A . The formula weight is 285 and there are four molecules per unit cell. Calculate the density of the crystal. 1) 32.44 /g cm 2) 324.4 /g cm 3) 33.44 /g cm 4) 334.4 /g cm 70. The lowest concentration of oxygen that can support aquatic life is about 41.3 10 /mol L . The partial

pressure of oxygen is 0.21 atm at sea level. What is the lowest partial pressure of oxygen that can support life? 3

2 1.3 10 / .Hk O mol L atm 1) 0.02atm 2) 0.10 atm 3) 1.0 atm 4) 10 atm 71. Although nitrogen does not adsorb on surface at room temperature. It adsorbs on the same surface of 83K. Which of the following statement is correct? 1) At 83K, there is formation of monomolecular layer 2) At 83K, there is formation of multimolecular layer 3) At 83K, nitrogen molecules are held by chemical bonds 4) At 83K, nitrogen is adsorbed as atoms 72. Which of the following statement is incorrect? 1) Oxide of aluminum 2 3Al O , and arsenic 2 3As O are amphoteric

2) Oxide of chlorine 2 7Cl O is less acidic than oxide of nitrogen 2 5N O

3) Oxide of carbon 2CO is more acidic than oxide of silica 2SiO 4) The correct increasing order of basic character of various oxides is 2H O CuO MgO CaO 73. Which of the following statements are correct? (I) In 2 3,ICl CIF

and 4TeCl , the number of lone pair(s) of electrons on central atoms are 3, 2 and 1 respectively (II) Amongst 2

2 3 3, , ,CO CO CO CH OH , the correct order from the weakest to the strongest carbon – oxygen bond is 2

3 3 2CH OH CO CO CO (III) The hybridisation of boron in 3BF is the same which nitrogen has in NOClmolecule 1) (I) & (III) only 2) (II) only 3) (I) & (II) only 4) (I), (II) & (III) 74. The correct order for the wavelengths of adsorption in the visible region for the following

4

2 6I

Ni NO

,

2

3 6II

Ni NH

,

2

2 6III

Ni H O

,

46

IVNiF

1) IV > III > II > I 2) I > II > III > IV 3) III > IV > II > I 4) II > III >I > IV

Page 15: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

75. The INCORRECT statement is 1) In metallurgy, flux is a substance used to convert infusible impurities to fusible mass. 2) Cryolite is 3 6Na AIF and is used in the electrolysis of alumina for lowering the melting point of alumina. 3) Extraction of iron metal from iron oxide ore is carried out by heating with coke. 4) The chemical composition of carnallite is 2 2 4 3

K Mg SO . 76. Knowing that the Chemistry of lanthanoids (Ln) is dominated by its +3 oxidation state, which of the following statements are correct? (I) The ionic size of Ln (III) decrease in general with increasing atomic number (II) Ln (III) compounds are generally colourness (III) Ln (III) hydroxides are mainly basic in character (IV)Because of the large size of Ln (III) ions, the bonding in its compounds is predominantly ionic in character. 1) I, II and III 2) II, III and IV 3) I, II and IV 4) I, III and IV 77. Which of the following statements is false? 1) 3 2 3 3,H PO H PO and 3 4H PO all are tribasic and reducing in nature. 2) Among anions, 2 2

3 3 3, ,NO SO CO and 33BO , only 2

3SO have p d bonding 3) Among anions 2 2 2

3 4 2 4, ,SO SO S O and 24 3,HSO SO is basic and reducing in nature

4) Number of lone pair(s) of electrons on Xe atoms in 2XeF , 4XeF and 6XeF are 3, 2 and 1 respectively 78. Consider the following statements and pick out the correct one I. The solubility, thermal stability and the basic character of the hydroxides of alkaline earth metals increases from 2

Mg OH to 2Ba OH

II. The dehydration of hydrated chlorides, bromides and iodides of Ca, Sr and Ba can be achieved on heating III. The chlorides of both beryllium and aluminium are soluble in organic solvents and are strong Lewis acids 1) I and II only 2) I and III only 3) I, II and III 4) II & III only 79. Match the column-I (containing anions) with column-II (containing reagent used in testing) using the

codes as given below in the columns

Page 16: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

Column-I Column-II (anions) (reagents) (a) 2S 1) Barium chloride solution in presence of HCl (b) 3NO 2) Sodium nitroprusside (c) I 3) Chlorine water and chloroform (d) 2

4SO 4) Iron (II) sulphate solution and conc. 2 4H SO Code: (A) (B) (C) (D) (A) (B) (C) (D) 1) 1 4 3 1 2) 1 4 3 2 3) 2 1 3 4 4) 1 2 3 4 80. Match list I and list II. Choose the correct matching codes from the choices given List-I List-II (a) Ionic hydride p) 3NH (b)Electron rich covalent hydride q) 4CH (c) Electron precise covalent hydride r) 1.73TiH (d) Electron deficient covalent hydride s) 2 6B H t) 2CaH Code: 1) (a-t), (b-p), (c-q), (d-s) 2) (a-t), (b-p), (c-r), (d-s) 3) (a-r), (b-p), (c-q), (d-s) 4) (a-s), (b-p), (c-q), (d-t) 81. Sublimation cannot be used for purification of 1) Urea 2) Camphor 3) Benzoic acid 4) Naphthalene

82.

Cl /hv2monochlorination

total products(including stereo isomers)

(M)

Fractionaldistillation

N Fractions

The values of M and N are respectively 1) 3, 2 2) 3, 3 3) 4, 3 4) 3, 4 83. In which delocalisation of positive charge is possible

Page 17: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

1)

NH 3+

2)

N+

H H

3)

OH2+

4)

O-

+

84. The major product of following sequence of reactions is

1)

3 3

3 2 3

3 3

| |

|

CH CH

CH C CH N CH

CH CH

OH-

+

2)

3

3 23

3

3

|

|

CH

CH C CH N

CHCH

I-

+

3)

3 3

3 23

3

|

|

CH CH

CH C CH N

CH

+

4)

3

3 23

3

CHCH C CH N

CH +

CH3

85.

C H Cl/AlCl2 5 3 (X) (Y)

COOH

C H2 5 The reagents X and Y are respectively: 1) 3 3 4/ , / /X CH COCl AlCl Y KMnO OH , acidification 2) 3 2 3 3/ , / /X CH CH Cl AlCl Y CrO H 3) 3 3 2/ , /X CH COCl AlCl Y I NaOH , acidification 4) 4 / /X KMnO OH , acidification, 3 2 3/Y CH CH Cl AlCl

Page 18: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

86. Arrange the correct order of ease of acid catalysed dehydration of given alcohols is

I: 2 2 2 2

2

|CH CH CH CH OH

NO

II:

3 2 2

2

|CH CH CH CH OH

NO

III: 3 2 2

2

|CH CH CH CH OH

NO

IV: 3 2 2 2CH CH CH CH OH

1) I > II> IV > III 2) I > II > III > IV 3) IV > I > III > II 4) IV > III > II > I

87. CHO+CH CHO3

dil.NaOH P+H O2O /Zn-H O3 2 Q + CHO

The product Q is 1) 3CH CHO 2) HCHO 3) HCOOH 4) OHC-CHO 88. Identify the product “P” formed in the given reaction sequence

HNO3

H SO2 4A

Cl2

FeCl3B

SnNaOH C 1.HCl/

2.OH P:-

1) 2)

H N2

Cl

Cl

NH2

3)

H N2 NH2

4)

Cl

NH-NH

Cl 89. In fibrous proteins, polypeptide chains are held together by (i)van der Waals forces (ii) disulphide linkage (iii) electrostatic forces of attraction (iv) hydrogen bonds 1) i& ii 2) ii & iii 3) iii & iv 4) ii & iv

Page 19: MATHEMATICS - Doubtion · MATHEMATICS 1. The area of the region covered by the curve y y x2 2 4 9 0,with the x-axis and the tangent line to the curve at A (6, 3) is_____ 1) 1/4 2)15/4

90. Which of the following is an example of liquid dishwashing detergent?

1) 3 2 2 310CH CH CH OSO Na

2) 9 19 2 2 2 25

C H O CH CH O CH CH OH

3)

3 3CH SO Na

4)

3

3 2 315

3

|

|

CH

CH CH N CH Br

CH