IOE EXAMINATION [30 MARKS]

                  Tribhuvan University Institute of Engineering Entrance Examination Board 

                                        BE/B.Arch. Online Entrance Examination

                                     IOE FREE EXAM   [30 questions]  

                              Time: 45min 

 

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1. The decay constant of a radioactive element is 1.5 x 10⁻⁹ per second. Its mean life (in seconds) will be [2 marks]
   1.   1.5x10⁹
   2.   6.67 x 10⁸
   3.   0.35 x 10⁸
   4.   4.62 x 10⁸
2. You are marooned on a frictionless horizontal surface and cannot exert any horizontal force by pushing against the surface. How can you get off? [1 marks]
   1.   By jumping
   2.   By running on the plane
   3.   By spitting or sneezing
   4.   By rolling your body on the surface
3. Force applied normally on the handle of a door is an example of: [1 marks]
   1.   Linear motion
   2.   Collision force
   3.   Rotational motion
   4.   All
4. Examples of radiations are : [1 marks]
   1.   refrigeration
   2.   a microwave oven
   3.   monsoon
   4.   none of the above
5. Liquid generally ........ on heating and ........ on cooling [1 marks]
   1.   Contract, no change
   2.   Contract, expand
   3.   Expand, no change
   4.   Expand, contract
6. For a p-type semiconductor, which of the following statements is true? [1 marks]
   1.   Holes are the majority carriers and pentavalent atoms are the dopants
   2.   Electrons are the majority carriers and pentavalent atoms are the dopants.
   3.   Electrons are the majority carriers and trivalent atoms are the dopants.
   4.   Holes are the majority carriers and trivalent atoms are the dopants.
7. A body floats in a liquid contained in a beaker. If the whole system falls under gravity, then the upthrust on the body due to liquid is : [1 marks]
   1.   Equal to the weight of the immersed part of the body
   2.   Equal to the weight of the body in air
   3.   Equal to the weight of the body in liquid
   4.   Zero
8. Two bodies at different temperatures are kept in contact. If the body at higher temperature gets hotter than it violates which law of thermodynamics? [1 marks]
   1.   Zeroth law of thermodynamics
   2.   Third law of thermodynamics
   3.   First law of thermodynamics
   4.   Second law of thermodynamics
9. If the amplitude of the sound is made 3 times its initial value, then its loudness will become _______________ times its initial value. [2 marks]
   1.   16
   2.   4
   3.   9
   4.   25
10. Electrons revolve round the nucleus in well-defined orbits, like planets revolve round the sun' was the brainchild of. [1 marks]
    1.   Niels Bohr
    2.   Arnold Sommerfeld
    3.   Ernest Rutherford
    4.   Max Born
11. A triangle has vertices A(1,-1) B(2,4) and C(6,0) The length of the median from A is [2 marks]
    1.   3
    2.   2√2
    3.   3√2
    4.   2√3
12. For an A.P. a=7,d=3,n=8, find a8. [1 marks]
    1.   18
    2.   28
    3.   36
    4.   16
13. Slope of the line whose inclination is 120 [1 marks]
    1.   −1/√3
    2.   −√3
    3.   1/√3
    4.   1/2
14. A pair of numerical coordinates is required to specify each point in a ......... plane. [1 marks]
    1.   Cartesian
    2.   One-dimesion
    3.   both A and B
    4.   none of the above
15. Find the domain of the function f(x) given by f(x)=x−2/3−x [1 marks]
    1.   R
    2.   R-{2}
    3.   R-{3}
    4.   R-Z
16. Coordinate axes divide plane into how many parts? [1 marks]
    1.   4
    2.   3
    3.   2
    4.   1
17. tan-¹1+tan-¹2+tan-¹3= [2 marks]
    1.   0
    2.   2π
    3.   π
    4.   π/2
18. A bag contains 3 white and 5 black balls.One ball is drawn at random.Then the probability that it is white is: [1 marks]
    1.   1/8
    2.   3/8
    3.   5/8
    4.   3/5
19. If y=cos(5−3t) then dy/dx= [1 marks]
    1.   5sin(5-3t)
    2.   3sin(5-3t)
    3.   -5sin(5-3t)
    4.   -3sin(5-3t)
20. If f(x)=x sinx, then f′(π/2) is equal to: [1 marks]
    1.   1
    2.   0
    3.   -1
    4.   1/2
21. A monoprotic acid in 1.00 Msolution is 0.01% ionised. The dissociation constant of this acid is
    1.   10⁻⁸
    2.   10⁻⁷
    3.   10⁻⁶
    4.   10⁻⁵
22. Which is flux used in vertical retort furnace? [1 marks]
    1.   P₂O₅
    2.   SiO₂
    3.   CaO
    4.   None of them
23. The product obtained on reaction of C₂H₅Cl with hydrogen over palladium carbon is [2 marks]
    1.   C₃H₈
    2.   C₄H₁₀
    3.   C₂H₆
    4.   C₂H₄
24. N₂ combines with metal to form [1 marks]
    1.   Nitride
    2.   Nitrate
    3.   Nitrite
    4.   Nitrosyl chloride
25. 5 amperes is passed through a solution of zinc sulphate for 40 minutes. Find the amount of zinc deposited at the cathode [2 marks]
    1.   40.65 gm
    2.   4.065 gm
    3.   0.4065 gm
    4.   65.04 gm
26. Percentage of silver in german silver is: [1 marks]
    1.   1%
    2.   100%
    3.   0%
    4.   10%
27. Which of the following is not oxidised by Mn0₂ ? [1 marks]
    1.   F⁻
    2.   CI⁻
    3.   Br⁻
    4.   I⁻
28. Which of the following is used to remove temporary hardness of water? [1 marks]
    1.   Slaked lime
    2.   Epsyum
    3.   Hydrolith
    4.   Plaster of Paris
29. In Haber process of Ammonia production the element used as catalytic promoter to increase the activity of Iron catalyst is ....................... [1marks]
    1.   NI (Nickel)
    2.   W (Tungston)
    3.   Mo (Molybednum)
    4.   V (Vanadium)
30. sodium hydroxide is prepared by the method [1 marks]
    
    1.   Castner Kellner cell
    2.   Solvay process
    3.   Castner cell
    4.   Down's cell