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. Find the values if sin−1(sin2π/3 )
   1.   π/6
   2.   2π/3
   3.   π/3
   4.   4π/3
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.   Maximum pressure and least speed
   2.   Both pressure and speed maximum
   3.   Maximum speed and least pressure
   4.   Both pressure and speed least
3. 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
4. If A and B are two sets, then A∪B=A∩B if
   1.   None of these
   2.   A=B
   3.   A⊆B
   4.   B⊆A
5. Sulphuric acid reacts with cupric oxide to give:
   1.   cuprous sulphate
   2.   it converts to cuprous oxide.
   3.   copper sulphate
   4.   No reaction
6. The value of
   limθ→0( (sinθ/4) /θ)
   
   1.   not in existence
   2.   1/4
   3.   0
   4.   1
7. which of the following processes, the number of protons in the nucleus increase?
   1.   k-capture
   2.   α−decay
   3.   (β +)−decay
   4.   (β −) −decay
8. 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.   200
   2.   500
   3.   100
   4.   250
9. 300 gm of water at 25C is added to 100gm of ice at 0C . Final temperature of the mixture is:
   
   1.   0°C
   2.   −5°C
   3.   −3/5 °C
   4.   −2/5°C
10. A point (x, y, z) moves parallel to x-axis. Which of the three variable x, y, z remain fixed
    1.   x
    2.   x and y
    3.   y and z
    4.   z and x
11. It is possible for a substance to coexist in all three phases in equilibrium, when the substance is at
    1.   Dew point
    2.   Critical temperature
    3.   Boyle temperature
    4.   Triple point
12. Aufbau principle is not satisfied by
    1.   Cr and Cl
    2.   Cr and Mg
    3.   Cu and Na
    4.   Cu and Ag
13. 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.   Apparent, −2
    3.   Real, +2
    4.   Real, −2
14. 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/m
    2.   (a+b)½
    3.   (a+b)½/m
    4.   (a²+b²)½/m
15. 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.   282 Hz
    2.   258 Hz
    3.   262 Hz
    4.   242 Hz
16. Br₂gas turns starch iodide paper
    
    1.   Yellow
    2.   Blue
    3.   Colourless
    4.   Red
17. 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.   800N
    2.   200N
    3.   12000 N
    4.   120N
18. 
    1.   +4
    2.   +3
    3.   +2
    4.   0
19. We are given b, c and sinB such that B is acute and b<csinB . Then
    
    1.   A right angled triangle is possible
    2.   One triangle is possible
    3.   No triangle is possible
    4.   Two triangles are possible
20. Which of the following compounds is sparingly soluble in ammonia ?
    1.   AgI
    2.   AgCl
    3.   CuCl₂
    4.   AgBr
21. 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.   20
    2.   11
    3.   9
    4.   10
22. In how many ways can five examination papers be arranged so that physics and chemistry papers never come together?
    
    1.   31
    2.   72
    3.   48
    4.   60
23. Hydrogen gas is liberated by the action of aluminium with a concentrated solution of _________.
    1.   NaHCO3
    2.   none of these
    3.   NaOH
    4.   Na2CO3
24. PCl5 exists but NCl5 does not because
    
    1.   Nitrogen has no vacant orbitals
    2.   Nitrogen is highly inert
    3.   NCl5 is unstable
    4.   Nitrogen atom is much smaller
25. Number of molecules in 100 ml of each of O2,NH3andCO2 at STP are In the order
    
    1.   NH3=CO2<O2
    2.   CO2<O2<NH3
    3.   The same
    4.   NH3<O2<CO2
26. If a,b,c are distinct +ve real numbers and a²+b²+c²=1 then ab+bc+ca is
    
    1.   less then 1
    2.   equal to 1
    3.   any real no.
    4.   greater then 1
27. 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.   1.0 mm
    2.   0.1 mm
    3.   2.0 mm
    4.   0.5 mm
28. Find the derivative of e-^x *cosx
    1.   e^-x *(−xcosx+sinx)
    2.   e^-x (-sinx -cosx)
    3.   -e^-x (sinx −cosx)
    4.   e^x *cosx sinx
29. Find the derivative of the following:
    x−⁴(3−4x−⁵).
    1.   (12x^-10) - 36x^-5
    2.   None of them
    3.   (36x^−10)−12x^−5
    4.   (36x^−5) − 12x^-10
30. 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.   0.46
    4.   0.61