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