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