Examination 2

                  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. If the foci and vertices of an ellipse be (±1,0) and (±2,0) , then the minor axis of the ellipse is :
   
   1.   4
   2.   2
   3.   2√5
   4.   2√3
2. The escape velocity of a particle of mass m varies as
   1.   m⁰
   2.   m²
   3.   m¹
   4.   m³
3. In β- decay,a
   1.   proton converts into a neutron emitting neutrino.
   2.   neutron converts into a proton emitting neutrino.
   3.   proton converts into a neutron emitting antineutrino.
   4.   neutron converts into a proton emitting antineutrino.
4. The area bounded by y=log⁡x , the ordinates y=0,y=2 and y axis is :
   
   1.   e²−e
   2.   e²−2
   3.   e²−1
   4.   e²−2e
5. 0.16 g of dibasic acid required 25 ml of decinormal NaOH solution for complete neutralisation. The molecular weight of the acid will be
   
   1.   256
   2.   64
   3.   128
   4.   32
6. Starch paper is used to test for the presence of
   1.   Oxidising agent
   2.   Iodine ion
   3.   Reducing agent
   4.   iodine
7. The potential difference across the Coolidge tube is 20 kV and 10 mA current flows through the voltage supply. Only 0.5% of the energy carried by the electrons striking the target is converted into X-rays. The power carried by the X-ray beam is P. Then
   1.   P=1 W
   2.   P=2 W
   3.   P=0.1 W
   4.   P=10 W
8. The most stable oxidation state of iron is
   
   1.   -2
   2.   -3
   3.   +3
   4.   +2
9. A point (x, y, z) moves parallel to z-axis. Which of the three variable x, y, z remain fixed
   1.   y and z
   2.   x and y
   3.   z and x
   4.   x
10. Which of the following transitions in hydrogen atoms emit photons of highest frequency?
    
    1.   n=2 to n=6
    2.   n=6 to n=2
    3.   n=1 to n=2
    4.   n=2 to n=1
11. Dissociation of H3PO4 occurs in ____________ stages
    
    1.   3
    2.   4
    3.   2
    4.   1
12. Benzene reacts with sulphuric acid to give :
    
    1.   Carboxylic acid
    2.   Sulphur dioxide
    3.   Sulphonic gas
    4.   Hydrogen gas
13. In which of the following, Aufbau principle is violated?
    
    1.   B
    2.   A
    3.   D
    4.   C
14. An iron bar of length 10 m is heated from 0°C to 100°C. If the coefficient of linear thermal expansion of iron is 10 * 10–6 /°C, the increase in the length of bar is
    1.   1cm
    2.   2.0cm
    3.   1.5cm
    4.   0.5cm
15. The volume V and depth x of water in a vessel are connected by the relation V=5x−x²/6 and the volume of water is increasing at the rate of 5cm³/sec , when x=2cm . The rate at which the depth of water is increasing, is
    1.   (1/4)cm/sec
    2.   (5/16)cm/sec
    3.   None of these
    4.   (5/18)cm/sec
16. Angles made by the lines represented by the equation xy+y=0 with axis are
    
    1.   0∘ and 30∘
    2.   0∘ and 90∘
    3.   30∘ and 60∘
    4.   30∘and 90∘
17. The conjugate base of (NH₂)−IS
    
    1.   N−3
    2.   NH3
    3.   NH+⁴
    4.   NH²−
18. If tangent to circle x²+y²=4 at (2,0) is tangent to ellipse x²/a²+y²/b²=1 , then the value of a is
    1.   1
    2.   −2
    3.   -4
    4.   4
19. The function y=x²/1−x² has a local minima at:
    1.   no minima
    2.   x=2
    3.   x=0
    4.   x=1
20. If in a ΔABC,
    cosA/a= cosB/b=cosC/c , then the triangle is?
    1.   Right angled
    2.   Obtuse angled
    3.   Isosceles
    4.   Equilateral
21. In ΔABC , if 2s=a+b+c then the value of s(s−a)/bc−(s−b)(s−c)/bc
    
    1.   tanA
    2.   cosA
    3.   None of these
    4.   sinA
22. On adding solid potassium cyanide to water
    
    1.   pH will increase
    2.   Electrical conductance will not change
    3.   pH will not change
    4.   pH will decrease
23. A quick supply of Cl₂gas may be made by reacting crystals of KMnO4 with a concentrated solution of
    1.   Bleaching powder
    2.   Potassium chloride
    3.   Sodium chloride
    4.   Hydrochloric acid
24. The sum can be found of a infinite G.P. whose common ratio is r,
    
    1.   For only positive value of r
    2.   Only for −1<r<1(r≠0)
    3.   Only for 0<r<1
    4.   For all values of r
25. Which one of the following nitrate will leave behind a metal on strong heating ?
    1.   Copper nitrate
    2.   Ferric nitrate
    3.   Manganese nitrate
    4.   Silver nitrate
26. If two cells are connected in series opposition in an electrical circuit, when does current flow? Assume only conductors are present.
    1.   Magnitude of emf of cells is different
    2.   Always works irrespective of nature of cells
    3.   Magnitude of emf of cells is same
    4.   Size of cells is different
27. The frequency of vibration of a rod is 200Hz. If the velocity of sound in air is 340m/s, the wave length of the sound produced is
    1.   3.4m
    2.   13.6m
    3.   6.8
    4.   1.7m
28. All of the following statements are correct except
    
    1.   The magnification of an astronomical telescope can be increased by decreasing the focal length of the eye-piece
    2.   The image formed by the astronomical telescope is always erect because the effect of the combination of the two lenses is divergent
    3.   Final image formed by astronomical telescope is inverted, not erect.
    4.   The total length of an astronomical telescope is the sum of the focal lengths of its two lenses
29. If the direction of the initial velocity of the charged particle is perpendicular to the magnetic field, the orbit of charged particle will be
    
    1.   a straight line
    2.   a helix
    3.   a circle
    4.   a cycloid
30. The ratio of resolving power of telescope, when lights of wavelength 4400
    A°and 5500 A°are used is
    1.   9:1
    2.   5:4
    3.   4:5
    4.   16:25