EXAMINATION 3

                  Tribhuvan University Institute of Engineering Entrance Examination Board 

                                                             BE/B.Arch. Online Entrance Examination

                          IOE FREE EXAM   [30 questions]  

                                          Time: 45min 

        Examination Notice: 

↣ You have to check question mark ( ? ) button on correct option, give instant answer. 

↣ Click on  Next➤ buton to navigate to next page. 

↣ Click on Previous◄ buton to navigate to previous page. 

↣ Informations along with time remaining, total attempted and total questions will be displayed at top of your page. 

[ 30 Marks]

  

1 / 30

1. 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.   C½ G½ h½
   2.   C-½ G½ h ½
   3.   C½ G-½ h ½
   4.   C½ G½ h-½
2. 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.   24 km/s
   3.   56.0 km/s
   4.   112 km/s
3. pH of human blood is 7.4. Then concentration will be
   
   1.   4×10−^4
   2.   2×10−^4
   3.   4×10−^8
   4.   2×10−^8
4. The largest number of molecules present in :
   1.   56.0 g of carbon monoxide
   2.   3.60 g of water
   3.   54.0 g of nitrogen pentoxide
   4.   46.0 g of ethyl alcohol
5. Neutron decay in free space is given as follows
   ₀n¹ -----> ₁H¹+ ₁e⁰ +[ ]
   Then the parenthesis [ ] represents a
   1.   antineutrino
   2.   neutrino
   3.   graviton
   4.   photon
6. 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.   2×10^4N
   2.   4×10^6N
   3.   4×10^2N
   4.   2×10^6N
7. d/dx(√sec2x+cosec2x)=
   1.   4cosec2x⋅cot2x
   2.   −4cosec2x⋅cot2x
   3.   −4cosecx⋅cot2x
   4.   None of these
8. Sulphuric acid reacts with most bases to give the corresponding _________ .
   1.   Sulphide
   2.   Sulphurous acid
   3.   Phosphate
   4.   Sulphate
9. The latus rectum of the parabola y²=5x+4y+1 is
   
   1.   10
   2.   5
   3.   5/2
   4.   5/4
10. How many electrons constitute a current of one microampere?
    1.   6.25×10⁶
    2.   6.25×10¹⁵
    3.   6.25×10¹²
    4.   6.25×10⁹
11. In the periodic table, metals usually used as catalyst belongs to
    
    
    1.   s-block
    2.   p-block
    3.   f-block
    4.   d-block
12. Consider the electronic configuration 1s²2s²2px₂²
    ​
    1.   It violates Pauli's exclusion principle.
    2.   It violates Hund's rule
    3.   It violates Aufbau principle.
    4.   It is correct
13. 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.   0.6%
    3.   1.2%
    4.   0.8%
14. The foot of the perpendicular drawn from the point (3,2,5) on xy plane is :
    
    1.   (3,0,0)
    2.   (3,0,5)
    3.   (3,4,0)
    4.   (0,2,5)
15. If 10²¹ molecules are removed from 200 mgof CO2, then the number of moles of CO2 left are
    1.   2.28×10−³
    2.   1.36×10−²
    3.   2.8×10-³
    4.   6.10×10−⁴
16. Domain of f(x)=sin−1(x−3)/√9−x2 is
    
    1.   [2,3]
    2.   [2,3)
    3.   [1,2)
    4.   [1,2]
17. 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.   a parabola
    4.   CaCl₂
18. The O.N. of Co in K[Co(CO)₄ ] is
    
    1.   +1
    2.   −1
    3.   +3
    4.   0
19. ∫0dx between limit 0 to 1=
    1.   0
    2.   meaningless
    3.   not determined
    4.   constant
20. How many numbers less than 1000 can be made from the digits 1, 2, 3, 4, 5, 6 (repetition is not allowed)?
    
    1.   None of these
    2.   156
    3.   160
    4.   150
21. 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.   9J
    2.   15J
    3.   13J
    4.   6J
22. The IUPAC name of the following organic compound is :
    
    1.   2,4– dichloro 4 – formylbut – 2 – en – 3 – ol
    2.   2,4 – dichloro – 3 – hydroxypent – 3 – enal
    3.   2,4 – dichloro – 1 – formylbut – 3 – en – 3 – ol
    4.   2,4 – dichloro – 3 – hydroxypent – 2 – en – 4 – al
23. Bayer's reagent is used in the laboratory for:
    
    1.   detection of double bond
    2.   reduction process
    3.   detection of glucose
    4.   detection of benzene
24. 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.   A,D
    4.   B,C
25. The first term of a harmonic progression is 1/7 and the second term is 1/9. The 12th term is
    1.   1/29
    2.   1/19
    3.   1/17
    4.   1/27
26. In which of the following instruments is final image erect?
    1.   all of them
    2.   convex lens
    3.   Compound microscope
    4.   Simple microscope
27. 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=λ1λ2/λ1+λ2
    2.   λ3=λ1+λ2
    3.   (λ3)^3=(λ1)^2+(λ2)^2
    4.   λ1+λ2+λ3=0
28. The equation of the plane through (1,2,3) and parallel to the plane 2x+3y−4z=0 is
    1.   2x+3y+4z+4=0
    2.   2x+3y+4z=4
    3.   2x+3y−4z+4=0
    4.   2x−3y+4z+4=0
29. 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.   a circle
    2.   an ellipse
    3.   a straight line
    4.   a parabola
30. If in triangle ∆ABC,cos⁡A=sin⁡B/2sin⁡C , then the triangle is
    
    1.   Isosceles
    2.   Equilateral
    3.   None of these
    4.   Right angled