EXAMINATION 5

                  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. Hydrogen gas is liberated by the action of aluminium with a concentrated solution of _________.
   1.   none of these
   2.   NaOH
   3.   Na2CO3
   4.   NaHCO3
2. Water is flowing through a horizontal pipe of the non-uniform cross-section. At the extreme narrow portion of the pipe, the water will have
   1.   Both pressure and speed maximum
   2.   Maximum pressure and least speed
   3.   Maximum speed and least pressure
   4.   Both pressure and speed least
3. An object is placed at 30 cm distance from a concave mirror of focal length 20 cm, then nature, magnification of the image will be:
   1.   Apparent, +2
   2.   Real, +2
   3.   Real, −2
   4.   Apparent, −2
4. A rocket of mass 1000 kg is exhaust gases at a rate of 4 kg/s with a velocity 3000 m/s. The thrust developed on the rocket is
   1.   200N
   2.   12000 N
   3.   800N
   4.   120N
5. Sulphuric acid reacts with cupric oxide to give:
   1.   it converts to cuprous oxide.
   2.   No reaction
   3.   cuprous sulphate
   4.   copper sulphate
6. First a set of n equal resistors of R each are connected in series to a battery of emf E and internal resistance R. A current (I) is observed to flow. Then the n resistors are connected in parallel to the same battery. It is now observed that the current is increased 10 times. What is n?
   1.   10
   2.   20
   3.   11
   4.   9
7. Which of the following compounds is sparingly soluble in ammonia ?
   1.   AgBr
   2.   AgCl
   3.   CuCl₂
   4.   AgI
8. The conjugate of the complex number 2+5i/4−3i is
   
   1.   −7−26i/25
   2.   7+26i/25
   3.   7−26i/25
   4.   −7+26i/25
9. For the reaction PCl3(g)+Cl2(g)=PCl5(g) at 250∘C .
   the value of Kc is 26 , then the value of Kp on the same temperature will be :
   1.   0.83
   2.   0.57
   3.   0.61
   4.   0.46
10. Find the derivative of e-^x *cosx
    1.   e^x *cosx sinx
    2.   e^-x (-sinx -cosx)
    3.   e^-x *(−xcosx+sinx)
    4.   -e^-x (sinx −cosx)
11. Br₂gas turns starch iodide paper
    
    1.   Red
    2.   Yellow
    3.   Blue
    4.   Colourless
12. 
    1.   0
    2.   +3
    3.   +2
    4.   +4
13. 300 gm of water at 25C is added to 100gm of ice at 0C . Final temperature of the mixture is:
    
    1.   0°C
    2.   −2/5°C
    3.   −5°C
    4.   −3/5 °C
14. If a,b,c are distinct +ve real numbers and a²+b²+c²=1 then ab+bc+ca is
    
    1.   any real no.
    2.   equal to 1
    3.   less then 1
    4.   greater then 1
15. Number of molecules in 100 ml of each of O2,NH3andCO2 at STP are In the order
    
    1.   The same
    2.   NH3<O2<CO2
    3.   CO2<O2<NH3
    4.   NH3=CO2<O2
16. If A and B are two sets, then A∪B=A∩B if
    1.   None of these
    2.   B⊆A
    3.   A⊆B
    4.   A=B
17. Find the values if sin−1(sin2π/3 )
    1.   4π/3
    2.   π/6
    3.   2π/3
    4.   π/3
18. If a note x of unknown frequency produces 8 beats/sec, with a source of 250 Hz and 12 beats/sec with a source of 270 Hz, the frequency of unknown source will be:
    1.   262 Hz
    2.   242 Hz
    3.   258 Hz
    4.   282 Hz
19. We are given b, c and sinB such that B is acute and b<csinB . Then
    
    1.   One triangle is possible
    2.   Two triangles are possible
    3.   No triangle is possible
    4.   A right angled triangle is possible
20. Find the derivative of the following:
    x−⁴(3−4x−⁵).
    1.   (36x^−10)−12x^−5
    2.   None of them
    3.   (36x^−5) − 12x^-10
    4.   (12x^-10) - 36x^-5
21. Aufbau principle is not satisfied by
    1.   Cu and Ag
    2.   Cu and Na
    3.   Cr and Mg
    4.   Cr and Cl
22. Water rises in a capillary tube when its one end is dipped vertically in it, is 3cm. If the surface tension of water is 75∗10^−3N/m, then the
    
    diameter of capillary will be
    1.   0.5 mm
    2.   2.0 mm
    3.   1.0 mm
    4.   0.1 mm
23. In how many ways can five examination papers be arranged so that physics and chemistry papers never come together?
    
    1.   72
    2.   48
    3.   31
    4.   60
24. A point (x, y, z) moves parallel to x-axis. Which of the three variable x, y, z remain fixed
    1.   y and z
    2.   x and y
    3.   x
    4.   z and x
25. It is possible for a substance to coexist in all three phases in equilibrium, when the substance is at
    1.   Critical temperature
    2.   Dew point
    3.   Boyle temperature
    4.   Triple point
26. PCl5 exists but NCl5 does not because
    
    1.   Nitrogen atom is much smaller
    2.   Nitrogen has no vacant orbitals
    3.   Nitrogen is highly inert
    4.   NCl5 is unstable
27. The potential energy of a body of mass m is given by U=ax+by, where x and y are the position coordinates of the particle.
    The acceleration of the particle is
    
    1.   (a+b)½/m
    2.   (a+b)½
    3.   (a²+b²)½/m
    4.   a+b/m
28. The value of
    limθ→0( (sinθ/4) /θ)
    
    1.   not in existence
    2.   1/4
    3.   0
    4.   1
29. which of the following processes, the number of protons in the nucleus increase?
    1.   α−decay
    2.   k-capture
    3.   (β +)−decay
    4.   (β −) −decay
30. The amount of water that should be added to 500 ml of 0.5N solution of NaOH to give a concentration of 10 mg per ml is
    1.   500
    2.   100
    3.   250
    4.   200