IIT Sample Papers
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Test consist of 60 questions and the marking system is +3 for right and -1 for wrong answer.


60 Question

1. 
Photon of 5.5 eV energy fall on the surface of the metal emitting photoelectrons of maximum kinetic energy 4.0 eV. The stopping voltage required for these electrons are

A. 
5.5 V

B. 
1.5 V

C. 
9.5 V

D. 
4.0 V

2. 
A metal ball falls from a height of 32 metre on a steel plate. If the coefficient of restitution is 0.5, to what height will the ball rise after second bounce

A. 
2 m

B. 
4 m

C. 
8 m

D. 
16 m

3. 
The figure gives the electric potential V as a function of distance through five regions on x-axis. Which of the following is true for the electric field E in these regions
                                  

A. 
E1 > E2 > E3 > E4 > E5

B. 
E1 = E3 = E5 and E2 < E4

C. 
E2 = E4 = E5 and E1 < E3

D. 
E1 < E2 < E3 < E4 < E5

4. 
Find the force exerted by 5 kg block on floor of lift, as shown in figure. (take g = 10 m/s2
                

A. 
100 N

B. 
200 N

C. 
105 N

D. 
210 N

5. 
A coil, a capacitor and an ac source of rms voltage 24 V are connected in series. By varying the frequency of the source, a maximum rms current of 6 A is observed. If this coil is connected to a battery of emf 12 V and internal resistance 4 the current through it will be

A. 
2.4 A

B. 
1.8 A

C. 
1.5 A

D. 
1.2 A

6. 
Two blocks of mass 4 kg and 6 kg are placed in contact with each other on a frictionless horizontal surface. If we apply a push of 5N on the heavier mass, the force on the lighter mass will be

A. 
2 N

B. 
4 N

C. 
5 N

D. 
none of these

7. 
Two identical circular loops of metal wire are lying on a table without touching each other. Loop-A carries a current which increases with time. In response, the loop-B

A. 
Remains stationary            

B. 
Is attracted by the loop-A

C. 
Is repelled by the loop-A

D. 
Rotates about its CM, with CM fixed

8. 
A galvanometer shows no deflection when jockey is moved from one end to the other on the wire. It can be because of

A. 
null point

B. 
galvanometer becoming faulty due to use

C. 
short circuit

D. 
open circuit

9. 

A. 
4.0 sec

B. 
2.0 sec

C. 
1.0 sec

D. 
0.5 sec

10. 
Diameter of a plano-convex lens is 6 cm and thickness at the centre is 3 mm. If the speed of light in the material of the lens is 2 × 108 m/sec, the focal length of the lens is (thickness of the lens is negligible as compare to radius of curvature)

A. 
15 cm

B. 
20 cm

C. 
30 cm

D. 
10 cm

11. 
Three blocks of same mass are connected through string as shown in the figure. The values of f1, f2 are (take g = 10 m/s2 and all strings and pulleys are ideal) 
                        

A. 
24 N, 28 N

B. 
20 N, 28 N

C. 
24 N, 20 N

D. 
20 N, 20 N

12. 

A. 
10 mJ

B. 
20 mJ

C. 
30 mJ

D. 
60 mJ

13. 

A. 
3u

B. 
4u

C. 
6u

D. 
8u

14. 
Consider the situation shown in the figure. The acceleration of mass m is
                        

A. 
g/3 up the plane

B. 
g/3 down the plane

C. 
g/2 up the plane

D. 
g/2 down the plane

15. 
The plane surface of a plano-convex lens is silvered and it then acts like a concave mirror of 30 cm focal length. If for lens is 1.5, the radius of curvature of the convex surface is

A. 
15 cm

B. 
30 cm

C. 
60 cm

D. 
90 cm

16. 
In the circuit shown in the figure, if point Q  is earthed, potential at point P will be
                     

A. 
6 V

B. 
15 V

C. 
19  V

D. 
23 V

17. 
Three uniform rods, each of length 2l and mass m are attached (end to end) to form a triangular frame work. The moment of inertia of the frame work about an axis passing through the midpoints of two of its sides is 

A. 

B. 

C. 

D. 

18. 
On suspending a weight Mg, the length l of elastic wire and area of cross section A, if the final length becomes double the initial length, then the instantaneous stress acting on the wire is 

A. 
Mg/A

B. 
Mg/2A

C. 
2Mg/A

D. 
4Mg/A

19. 
Thickness of the depletion layer on forward biasing of a diode

A. 
increases

B. 
decreases

C. 
remains same

D. 
may be (a) or (b)

20. 
Two particle are projected horizontally in opposite directions from the same height at t = 0 with velocities 12 m/s and 3m/s. Relative speed of the two when there velocities become mutually perpendicular is (g = 10 m/s2)

A. 
15 m/s

B. 
12 m/s

C. 
10 m/s

D. 
9 m/s

21. 
An organic compound is found to contain C = 39.9%, H = 6.7% O = 53.4%. Its empirical formula is

A. 
CHO

B. 
CHO2

C. 
CH2O2

D. 
CH2O

22. 
According to Le Chatelier’s principle adding heat to a solid and liquid in equilibrium will cause the

A. 
Amount of solid to decrease

B. 
Amount of liquid to decrease

C. 
Temperature to rise

D. 
Temperature to fall

23. 
In the reaction
The compound B is,

A. 
 Acetic acid

B. 
Acetone

C. 
Acetaldehyde

D. 
Ethyl alcohol

24. 
Melting points of the chlorides of alkali metals decreases in the order :

A. 
LiCl > NaCl > KCl > RbCl > CsCl

B. 
NaCl > KCl > RbCl > CsCl > LiCl

C. 
 KCl > RbCl > CsCl > LiCl > NaCl

D. 
LiCl > CsCl > RbCl > NaCl > KCl

25. 
Caprolactam is a monomer of the polymer, named:

A. 
terylene

B. 
nylon-66

C. 
nylon-6

D. 
bakelite

26. 
Milk is a colloid in which

A. 
A liquid is dispersed in liquid

B. 
A solid is dispersed in liquid

C. 
A gas is dispersed in liquid

D. 
Some sugar is dispersed in water

27. 
The combustion of 4.24 mg of an organic compound produces 8.45 mg  of CO2 and 3.46 mg of water. The mass percentages  of C and H in the  compound respectively are   

A. 
54.4, 9.1

B. 
9.1, 54.4

C. 
27.2, 18.2

D. 
18.2, 27.2

28. 
Classical smog is

A. 
Dark brown

B. 
Yellow brown

C. 
Los Angeles smog

D. 
Smog with secondary pollutants

29. 
When methyl cyanide is hydrolysed in presence of alkali followed by H3O+ the product is

A. 
Acetamide

B. 
Methane

C. 
CO2 + H2O

D. 
Acetic acid

30. 
An ore of tin containing FeCrO4 is concentrated by

A. 
Magnetic separation   

B. 
Froth floatation

C. 
Electrostatic method

D. 
Gravity separation

31. 
Human body is an examples of

A. 
Open system

B. 
Closed system

C. 
Isolated system

D. 
None of these

32. 
Pentaerithritol stearate is :

A. 
A soap

B. 
A non ionic detergent

C. 
A fat

D. 
A cationic surface active substance

33. 
The IUPAC name of Na[Co(CO)4] is

A. 
sodium tetracarbonylcobaltate (–1)

B. 
sodium tetracarbonylcobaltate (+1)

C. 
tetracarbonylcobaltate (–1) sodium

D. 
sodiumtetracarbonylcobaltate (0)

34. 
Ethyl borate burns with

A. 
Yellow flame

B. 
Green flame

C. 
Blue flame

D. 
Crimson flame

35. 
In ferrocene hybridisation of iron is

A. 
sp3d2

B. 
d2sp3

C. 
sp3d3

D. 
dsp2

36. 
Which of the following compounds is not used as an additive after the manufacture of soap ?

A. 
Sodium silicate

B. 
Sodium carbonate

C. 
Perfume

D. 
Colour

37. 
The resistance of 0.0025 M solution of K2SO4 is 326 ohm. The specific conductance of the solution is

A. 
4.997 × 10–4

B. 
5.997 × 10–3

C. 
6.997 × 10–4

D. 
unpredictable

38. 
The shape of SF4 molecule is

A. 
Square planar

B. 
Trigonal bipyramidal

C. 
Pyramidal

D. 
See saw

39. 
Which of the following compounds is not coloured?

A. 
Na2CuCl4

B. 
Na2CdCl4

C. 
K4[Fe(CN)6]

D. 
None of these

40. 
The metallic ion precipitated as sulphide in ammonical buffer solution is

A. 
Fe3+

B. 
Cd2+

C. 
Zn2+

D. 
Hg2+

41. 

A. 

B. 

C. 

D. 

42. 

A. 

B. 
e

C. 

D. 

43. 
There are n points in a plane of which p points are collinear. The number of lines that can be formed from these points, is

A. 

B. 

C. 

D. 

44. 

A. 
surjective but not injective function

B. 
injective but not surjective function

C. 
bijective function

D. 
none of these

45. 

A. 

B. 

C. 

D. 

46. 

A. 
0 and 0

B. 
x = 1 and –1

C. 
x = 1 and –3

D. 
x = –1 and 3

47. 

A. 
scalene

B. 
right angled

C. 
acute angled isosceles     

D. 
obtuse angled isosceles

48. 

A. 
27

B. 
72

C. 
45

D. 
54

49. 

A. 

B. 

C. 

D. 
none of these

50. 
What is the truth value of "4 is even and 8 is odd."?

A. 
true

B. 
false

C. 
24

D. 
cannot be determined

51. 

A. 

B. 

C. 

D. 
none of these

52. 

A. 

B. 

C. 

D. 
none of these

53. 

A. 
1

B. 
2

C. 
3

D. 
4

54. 

A. 
8

B. 
10

C. 
6

D. 
None of these

55. 

A. 

B. 

C. 

D. 

56. 
The sentence "____ if and only if x + x = 3x" is TRUE. Which of the following could be used to fill in the blank?

A. 
x + x = 2x

B. 
2x – x = 2x

C. 
both 1 and 2 could be used

D. 
neither 1 nor 2 could be used

57. 

A. 
2

B. 
3

C. 

D. 

58. 

A. 
0

B. 

C. 

D. 
none of these

59. 
A pair of unbiased dice is rolled together till a sum of either 5 or 7 is obtained. The probability that 5 comes before 7 is

A. 

B. 

C. 

D. 
none of these

60. 

A. 

B. 

C. 
1

D. 

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