EXAMINATION 3

                  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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[ 30 Marks]

  

 

1. In which of the following instruments is final image erect?
   1.   Compound microscope
   2.   Simple microscope
   3.   convex lens
   4.   all of them
2. Energy levels, A, B, C of a certain atom correspond to increasing values of energy i.e EA<EB<Ec. if λ 1, λ2, λ 3 are the wavelengths of radiations corresponding to the transitions C to B, B to A and C to A respectively, which of the following relations is correct ?
   
   
   1.   λ3=λ1+λ2
   2.   λ1+λ2+λ3=0
   3.   λ3=λ1λ2/λ1+λ2
   4.   (λ3)^3=(λ1)^2+(λ2)^2
3. The escape velocity for the earth is 11.2 km/s. The mass of another planet 100 times mass of earth and its radius is 4 times radius of the earth. The escape velocity for the planet is
   1.   280 km/s
   2.   56.0 km/s
   3.   112 km/s
   4.   24 km/s
4. The coefficient of superficial expansion of rod is 4×10ˉ⁵/∘C. The percentage increase in the volume of a cube of that metal when it is heated from 0 ∘C to 100∘C is :
   1.   0.4%
   2.   0.8%
   3.   1.2%
   4.   0.6%
5. If the velocity of light (c), gravitational constant (G) and Planck's constant (h) are chosen as fundamental units, then the dimensions
   
   of mass in new system is
   1.   C-½ G½ h ½
   2.   C½ G-½ h ½
   3.   C½ G½ h-½
   4.   C½ G½ h½
6. How many electrons constitute a current of one microampere?
   1.   6.25×10⁶
   2.   6.25×10¹²
   3.   6.25×10⁹
   4.   6.25×10¹⁵
7. In a rocket of mass 1000kg fuel is consumed at a rate of 40kg/s. The velocity of the gases ejected from the rocket is 5000m/s. the thrust on the rocket is
   1.   2×10^6N
   2.   2×10^4N
   3.   4×10^2N
   4.   4×10^6N
8. ∫0dx between limit 0 to 1=
   1.   0
   2.   constant
   3.   not determined
   4.   meaningless
9. Neutron decay in free space is given as follows
   ₀n¹ -----> ₁H¹+ ₁e⁰ +[ ]
   Then the parenthesis [ ] represents a
   1.   neutrino
   2.   graviton
   3.   photon
   4.   antineutrino
10. In a Coolidge tube
    A) The intensity of x-rays is controlled by filament current
    B) The intensity of x-rays is controlled by the accelerating voltage.
    C) As the accelerating voltage is increased λ
    min is decreased
    D) λ min is controlled by filament current
    1.   B,D
    2.   A,C
    3.   B,C
    4.   A,D
11. A uniform force of (3i^+ j^ ) newton acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i^+ k^) meter to position (4 i^+3j^−k^) meter. The work done by the force on the particle is-
    1.   6J
    2.   9J
    3.   13J
    4.   15J
12. The equation of the plane through (1,2,3) and parallel to the plane 2x+3y−4z=0 is
    1.   2x+3y+4z=4
    2.   2x+3y−4z+4=0
    3.   2x+3y+4z+4=0
    4.   2x−3y+4z+4=0
13. If in triangle ∆ABC,cos⁡A=sin⁡B/2sin⁡C , then the triangle is
    
    1.   Right angled
    2.   Isosceles
    3.   Equilateral
    4.   None of these
14. d/dx(√sec2x+cosec2x)=
    1.   4cosec2x⋅cot2x
    2.   −4cosecx⋅cot2x
    3.   −4cosec2x⋅cot2x
    4.   None of these
15. Domain of f(x)=sin−1(x−3)/√9−x2 is
    
    1.   [1,2)
    2.   [1,2]
    3.   [2,3)
    4.   [2,3]
16. The first term of a harmonic progression is 1/7 and the second term is 1/9. The 12th term is
    1.   1/27
    2.   1/19
    3.   1/17
    4.   1/29
17. How many numbers less than 1000 can be made from the digits 1, 2, 3, 4, 5, 6 (repetition is not allowed)?
    
    1.   156
    2.   160
    3.   150
    4.   None of these
18. The latus rectum of the parabola y²=5x+4y+1 is
    
    1.   5/4
    2.   10
    3.   5
    4.   5/2
19. The locus of a point which moves with time t in a XY-plane such that, x=t₂−1 and y=t₂+1 is:
    
    1.   an ellipse
    2.   a straight line
    3.   a circle
    4.   a parabola
20. On addition of AgNO₃ to four different test tubes containing different solutions, one of them gave a white precipitate. It may contain:
    1.   CHCl₃
    2.   KNO₃
    3.   CaCl₂
    4.   a parabola
21. Sulphuric acid reacts with most bases to give the corresponding _________ .
    1.   Phosphate
    2.   Sulphate
    3.   Sulphide
    4.   Sulphurous acid
22. Consider the electronic configuration 1s²2s²2px₂²
    ​
    1.   It violates Aufbau principle.
    2.   It is correct
    3.   It violates Hund's rule
    4.   It violates Pauli's exclusion principle.
23. The largest number of molecules present in :
    1.   3.60 g of water
    2.   56.0 g of carbon monoxide
    3.   46.0 g of ethyl alcohol
    4.   54.0 g of nitrogen pentoxide
24. If 10²¹ molecules are removed from 200 mgof CO2, then the number of moles of CO2 left are
    1.   6.10×10−⁴
    2.   2.28×10−³
    3.   2.8×10-³
    4.   1.36×10−²
25. Bayer's reagent is used in the laboratory for:
    
    1.   detection of benzene
    2.   detection of glucose
    3.   reduction process
    4.   detection of double bond
26. pH of human blood is 7.4. Then concentration will be
    
    1.   2×10−^8
    2.   4×10−^4
    3.   4×10−^8
    4.   2×10−^4
27. In the periodic table, metals usually used as catalyst belongs to
    
    
    1.   f-block
    2.   s-block
    3.   d-block
    4.   p-block
28. The IUPAC name of the following organic compound is :
    
    1.   2,4– dichloro 4 – formylbut – 2 – en – 3 – ol
    2.   2,4 – dichloro – 1 – formylbut – 3 – en – 3 – ol
    3.   2,4 – dichloro – 3 – hydroxypent – 2 – en – 4 – al
    4.   2,4 – dichloro – 3 – hydroxypent – 3 – enal
29. The foot of the perpendicular drawn from the point (3,2,5) on xy plane is :
    
    1.   (3,0,0)
    2.   (3,4,0)
    3.   (0,2,5)
    4.   (3,0,5)
30. The O.N. of Co in K[Co(CO)₄ ] is
    
    1.   −1
    2.   +1
    3.   0
    4.   +3