ETEA test model paper

NUSTweb presents a model paper of ETEA (Educational Testing and Evolution Agency) which is a collection of MCQs from ETEA past papers.

Read the MCQs carefully and answer them.If you could score good in this model paper then you will surely be among the best performers of ETEA this year.Be sure to comment your answers.ETEA result will be yours if you master this model test.

ETEA model paper

According to Gay-Lussac’s variation of the volume of a sample of gas, at constant pressure, a straight line was obtained where slope was found to be equal to:

Po / 273

Pt / 273

Vo / 273

Vt / 273

2.If ‘x’ is the height of a person and ‘t’ is the time taken for ‘x’, then dx/dt is:

Velocity

Acceleration

Growth

None of these

Which one will show ionic bonding?

PbCl3

HClgas

PbCl4

NaH

4. The probability of either less than 1 or greater than 6 in rolling of a die is:

1/4

1/3

5. What is the magnitude of linear momentum of a particle if its De-Broglie’s wavelength is 0.02 mm?

0.5 h

50 h

5 x 104 h

5 x 107 h

The binding energy for nucleus ‘A’ is 7.7 MeV and that for nucleus ‘B’ is 7.8 MeV. Which nucleus has the larger mass?

Nucleus A

Nucleus B

More information is needed

None of these

Limx?8 ( 1 + 1/x)x

Infinity

1/x

Choose the correct electronic configuration for scandium (Z=21):

1s2 2s2 2p5 3s2 3p6 4s2 4p1

1s2 2s2 2p5 3s2 3p6 3d1 4s8

1s2 2s2 2p6 3s2 3p6 3d1 4s2

2s2 2s2 2p6 3s2 3p6 3d1 4s1

An alternating current is represented by the equation: I=Iosin(wt). Which one of the following equations represents an alternating current that has half the amplitude and double the frequency?

I=2Iosin(wt)

2I=Iosin(wt/2)

2I=Iosin(wt)

I=(1/2) x Iosin(2wt)

10.

As you have not prepared your work __________.

You would do better in the examination

You are not likely to do well this time

You could prepare harder next time

You may not fail in the examination

11.

Which one of the following electronic sub-shells the lanthanides have in the process of filling?

12.

If X={a,b,c,d} and Y={1,2,3,4}, then which one of the following is a bijective function from X to Y?

{(b,2), (c,2), (a,3), (d,4)}

{(d,3), (b,4), (a,2), (c,1)}

{(c,1), (d,4), (b, 1), (a,3)}

{(a,1), (b,4), (c,2), (d,1)}

13.

Nuclear fission occurs when a:

Light nucleus is split by neutrons

Light nucleus is split by alpha particles

Heavy nucleus is split by alpha heavy particle

Heavy nucleus is split by neutrons

14.

If your body’s mass is 66.26 kg and you are running at the speed of 10 ms-1. What will be the De-Broglie’s wavelength associated with you? (h=6.626x10-34 Js)

10.0 x 10-34 m

10-36 m

5.0 x 1034 m

2.0 x 1033 m

15.

d/dx(sech x)=__________.

– cosh x

cosh x

tanhx sech x

– tanhx sech x

16.

Becquerel is the unit of:

Activity

Decay constant

Half-life

Mean life

17.

The atoms A and B have the electronic configurations:

A=1s2 2s2 2p6 3s2

B=1s2 2s2 2p4

Which one of the following compound is possible?

A2B2

AB2

A2B

18.

d/dx (sinh-1 x)= __________.

1 / v(x2 + 1) ; ?x?R

1 / v(x2 - 1) ; ?x?R

1 / 1 - x2

1 / 1 - r2

19.

A photon is:

A charged particle

An electron-positron pair

A quantum of electromagnetic radiation

A neutron

20.

There are __________ fish in this pond.

Much

Many

Any

21. Choose the correct statement:

Liquid crystals are devoid of isotropic and anisotropic properties

Liquid crystals have both isotropic and anisotropic properties

Crystalline solids are usually isotropic but liquid crystals are anisotropic

Crystalline solids are usually anisotropic but liquid crystals are isotropic

22. Straight lines represented by ax2+2hxy +by2=0 are perpendicular if:

a + b = 0

ab < h2

h2 < ab

h2 = ab

23.

For a non-inverting amplifier, the gain is given by:

G=(1+R1)/R2

G=1+(R2/R1)

G=-R1/R2

G=-[(R1/R2)+1]

24.

Which is not used as a desiccant?

Silica gel

CaCl2

P2O3

NaCl

25.

Two or more vectors are said to be collinear if they are:

Parallel to the same line

Intersecting the same line

Perpendicular to the same line

Both (A) and (C)

26.

The total energy of a hydrogen atom in its ground state is:

Negative

Positive

Zero

None of these

27.

Atomicity is considered as the:

Number of sub-atomic particles present in an atom

Number of neutrons present in an atom

Number of atoms present in 1g of a substance

Number of atoms present in a molecule

28.

?e10x dx =

( e-10x / -10 )+ c

( e-10x / 10 ) + c

e-10x

( e10x / 10 ) + c

29.

Kirchoff’s first law is based upon the law of conservation of:

Energy

Charge

Mass

Momentum

30.

Change the following sentence into its passive form:

“She does not wash clothes on Friday”

Clothes were not being washed by her on Friday

Clothes were not washed by her on Friday

Clothes are not being washed by her on Friday

Clothes are not washed by her on Friday

31.

In the periodic table, period represents:

The number of electrons in the outermost shell

The metallic and non-metallic characters of the elements

The chemical properties of an element

The number of shells in an element

32.

The asymptotes of the hyperbola x2/a2 – y2/b2 =1 are:

y=±(b/a)*x

x=±(b/a)*y

y=±(a/b)*x

x=±(a/b)*y

33. Which of the following rays has the longest wavelength?

Ultraviolet rays

Infrared rays

X-Rays

Gamma rays

34.

Which one is considered as Fool’s Gold?

Iron Pyrite FeS2

Copper metal

Copper Glance Cu2S

none of these

35.

tan-1(5/6)+tan-1(1/11)=__________.

pi/2

pi/4

3pi/2

pi/3

36.

The wavelength of a wave traveling with speed ‘v’ and having frequency ‘f’ is:

Lambda=fv

Lambda=v/f

Lambda=v*f

Lambda=fiv

37.Common salt is purified by common ion effect by passing HCl gas through saturated solution of NaCl in water. Why ordinary crystallization process from saturated solution is not recommended?

Common salt solubility in water decreases with increase in temperature

Common salt solubility in water increases with increase in temperature

Common salt is less soluble

Common salt solubility remains constant with increase in temperature

38. The line y=mx+c becomes tangent to the circle x2 +y2=a2 if __________.

c=a/m

c=m/a

c=± v(1-m2)

c=± v(a(1+m2))

39.

Radioactive activity is affected by:

Temperature

Pressure

Humidity level

none of these

40.

Do you go shopping often? Yes, __________

I go shopping on Mondays

I go shopping once a week

I go shopping at Super Market

I go shopping every day

41.

In an A.P. if a1=4 and a10=22 then a15=?

42.

Which one of the following is a scalar quantity?

Electric intensity

Momentum

Acceleration

Mass

43.

Out of the following, which treatment is mostly used to kill the disease causing bacteria and other pathogens in water?

Chlorination

Boiling

UV irradiation

Ozonization

44.

Which of the following is correct?

Sum of the cube roots of unity is 0

Product of the cube roots of unity is 1

Each complex cube root of unity is reciprocal of the other

All of the above

45.

A car of mass 1000 kg first travels forwards at 25 m/s and then backwards at 5 m/s. What is the change in the kinetic energy of the car?

300 kJ

325 kJ

400 kJ

200 kJ

46.

Choose the correct sentence of the following:

I am much thankful to you

I am very thankful to you

I am just thankful to you

I am quite thankful to you

47. Which of the following reagent will convert acetic acid into acetyl chloride?

NaCl

HCl/ZnCl2

SOCl2

48.

The concept of complex numbers as a+ib was given by:

Newton

Gauss

Archimedes

Leibniz

49.

Teflon is prepared by the polymerization of:

Tetraflouoroethene

Propylene

Vinyl cynide

Butadiene

50. Which one is the correct formula for finding the speed ‘v’ of ocean waves in terms of density p of sea water, the acceleration of free fall g, the depth h of the ocean and the wavelength of lambda?

v=v(g*lambda)

v=v(g/h)

v=v(p*g*h)

v=v(g/p)

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Saturday 8 October 2016