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. 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.   9
   2.   10
   3.   11
   4.   20
2. 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.   12000 N
   2.   120N
   3.   800N
   4.   200N
3. which of the following processes, the number of protons in the nucleus increase?
   1.   (β −) −decay
   2.   α−decay
   3.   k-capture
   4.   (β +)−decay
4. It is possible for a substance to coexist in all three phases in equilibrium, when the substance is at
   1.   Boyle temperature
   2.   Triple point
   3.   Dew point
   4.   Critical temperature
5. 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.   258 Hz
   2.   242 Hz
   3.   262 Hz
   4.   282 Hz
6. 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 least
   2.   Maximum speed and least pressure
   3.   Maximum pressure and least speed
   4.   Both pressure and speed maximum
7. 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
8. 300 gm of water at 25C is added to 100gm of ice at 0C . Final temperature of the mixture is:
   
   1.   −3/5 °C
   2.   −2/5°C
   3.   0°C
   4.   −5°C
9. 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.   0.1 mm
   3.   1.0 mm
   4.   2.0 mm
10. A point (x, y, z) moves parallel to x-axis. Which of the three variable x, y, z remain fixed
    1.   x
    2.   y and z
    3.   x and y
    4.   z and x
11. Find the derivative of the following:
    x−⁴(3−4x−⁵).
    1.   (36x^−5) − 12x^-10
    2.   (36x^−10)−12x^−5
    3.   (12x^-10) - 36x^-5
    4.   None of them
12. If a,b,c are distinct +ve real numbers and a²+b²+c²=1 then ab+bc+ca is
    
    1.   less then 1
    2.   greater then 1
    3.   equal to 1
    4.   any real no.
13. Find the values if sin−1(sin2π/3 )
    1.   π/6
    2.   2π/3
    3.   π/3
    4.   4π/3
14. Find the derivative of e-^x *cosx
    1.   -e^-x (sinx −cosx)
    2.   e^x *cosx sinx
    3.   e^-x *(−xcosx+sinx)
    4.   e^-x (-sinx -cosx)
15. 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
    2.   (a+b)½/m
    3.   a+b/m
    4.   (a²+b²)½/m
16. If A and B are two sets, then A∪B=A∩B if
    1.   A⊆B
    2.   A=B
    3.   B⊆A
    4.   None of these
17. 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
18. The value of
    limθ→0( (sinθ/4) /θ)
    
    1.   0
    2.   1
    3.   1/4
    4.   not in existence
19. 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
20. Sulphuric acid reacts with cupric oxide to give:
    1.   cuprous sulphate
    2.   copper sulphate
    3.   it converts to cuprous oxide.
    4.   No reaction
21. We are given b, c and sinB such that B is acute and b<csinB . Then
    
    1.   A right angled triangle is possible
    2.   No triangle is possible
    3.   One triangle is possible
    4.   Two triangles are possible
22. Which of the following compounds is sparingly soluble in ammonia ?
    1.   AgI
    2.   CuCl₂
    3.   AgBr
    4.   AgCl
23. 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.   100
    2.   250
    3.   200
    4.   500
24. Aufbau principle is not satisfied by
    1.   Cr and Cl
    2.   Cr and Mg
    3.   Cu and Ag
    4.   Cu and Na
25. Hydrogen gas is liberated by the action of aluminium with a concentrated solution of _________.
    1.   NaHCO3
    2.   NaOH
    3.   Na2CO3
    4.   none of these
26. Number of molecules in 100 ml of each of O2,NH3andCO2 at STP are In the order
    
    1.   CO2<O2<NH3
    2.   The same
    3.   NH3<O2<CO2
    4.   NH3=CO2<O2
27. PCl5 exists but NCl5 does not because
    
    1.   Nitrogen has no vacant orbitals
    2.   NCl5 is unstable
    3.   Nitrogen atom is much smaller
    4.   Nitrogen is highly inert
28. 
    1.   +3
    2.   +2
    3.   0
    4.   +4
29. 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.   0.57
    2.   0.61
    3.   0.83
    4.   0.46
30. Br₂gas turns starch iodide paper
    
    1.   Yellow
    2.   Blue
    3.   Red
    4.   Colourless