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VITEEE PCME Mock Test - 2

125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 2

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This mock test of VITEEE PCME Mock Test - 2 for JEE helps you for every JEE entrance exam. This contains 125 Multiple Choice Questions for JEE VITEEE PCME Mock Test - 2 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE PCME Mock Test - 2 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE PCME Mock Test - 2 exercise for a better result in the exam. You can find other VITEEE PCME Mock Test - 2 extra questions, long questions & short questions for JEE on EduRev as well by searching above.

QUESTION: 1

The maximum value of sinx(1 + cos x) will be at

A.
x = π/2
B.
x = π/6
C.
x = π/3
D.
x = π/4

Solution:

QUESTION: 2

The area, in square unit, bounded by the curves y = x³, y = x² and the ordinates x = 1, x = 2 is

A.
17/12
B.
12/13
C.
2/7
D.
7/2

Solution:

QUESTION: 3

If z₁ and z₂ are two non-zero complex numbers such that |z₁ + z₂| = |z₁| + |z₂|, the value of arg(z₁) - arg(z₂) is

A.
-π
B.
-(π/2)
C.
π/2
D.
0

Solution:

QUESTION: 4

If n is any positive integer ,then the value of
[i⁽⁴ⁿ⁺¹⁾ - i^(4n-1)] /2 equals

A.
-i
B.
i
C.
1
D.
-1

Solution:

QUESTION: 5

A.
π ∕ 2
B.
π ∕ 4
C.
π ∕ 6
D.
π ∕ 8

Solution:

QUESTION: 6

is a singular matrix, then x =

A.
0
B.
1
C.
-3
D.
3

Solution:

QUESTION: 7

for x ≠ 5 and f is continuous at x = 5 then f(5) =

A.
0
B.
5
C.
10
D.
25

Solution:

QUESTION: 8

If x ≠ 0 , then x =

A.
1
B.
-1
C.
2
D.
-2

Solution:

QUESTION: 9

If the function f is defined by f(x) = x / 1 + | x | then at what points is f differentiable

A.
Every where
B.
At x =
C.
Except at x = 0
D.
Except at x = 0 or

Solution:

QUESTION: 10

The differential equation for the family of curves x² + y² - 2ay = 0, where a is an arbitrary constant is

A.
(x² - y²)y′ = 2xy
B.
2(x² + y²)y′ = xy
C.
2(x² - y²)y′ = xy
D.
(x² + y²)y′ = 2xy

Solution:

QUESTION: 11

The slope of the tangent at (x,y) to a curve passing thro' a point (2,1) is x²+y²/2xy, then the eqution of the curve is

A.
2(x²-y²)=3x
B.
2(x²-y²)=6y
C.
x((x²-y²)=6
D.
x(x²+ y²)=10

Solution:

QUESTION: 12

If x(dy/dx) = y(log y - log x + 1), then the solution of the equation is

A.
xlog(y/x) = cy
B.
ylog(x/y) = cx
C.
log(x/y) = cy
D.
log(y/x) = cx

Solution:

QUESTION: 13

The solution of differential equation (x+2y³) dy/dx = y is

A.
x = y² + C
B.
y = x²+ C
C.
x = y (y²+C)
D.
y = x (x²+C)

Solution:

QUESTION: 14

The interval in which y=x²e^x is increasing with respect to x, is

A.
(-a,a)
B.
(-2,0)
C.
(2,a)
D.
(0,2)

Solution:

QUESTION: 15

Let f : R → R be defined by

Then the value of f(-1.75) + f(0.5) + f(1.5) is

A.
0
B.
2
C.
1
D.
-1

Solution:

QUESTION: 16

∫secx dx=

A.
log tan[(π/4)-(x/2)]+c
B.
log(secx-tanx)+c
C.
log[(π/4)+x]+c
D.
log(secx+tanx)+c

Solution:

QUESTION: 17

A.
k = − 1/2
B.
k = − 1/8
C.
k = − 1/4
D.
None of these

Solution:

QUESTION: 18

If cot^-1[(cos α)^1/2] - tan^-1[(cot α)^1/2] = x, then sin x =

A.
tan²α/2
B.
cot²α/2
C.
tan α
D.
cot α/2

Solution:

QUESTION: 19

A.
1
B.
e^{b − a}
C.
e^{a − b}
D.
e^b

Solution:

QUESTION: 20

A.
cos ² α log_e cos α + sin ² α log _e sin α
B.
sin² α log _e sin α − cos ² α log _e cos α
C.
cos ² α log _e sin α − sin ² α log_e cos α
D.
cos ² α log_e cos α − sin² α log _e sin α

Solution:

QUESTION: 21

"If Deb and Sam go to the mall, then it is snowing."
Which statement below is logically equivalent?

A.
If Deb and Sam do not go to the mall, then it is not snowing.
B.
If Deb and Sam do not go to the mall, them it is snowing.
C.
If it is snowing, then Deb and Sam go to the mall.
D.
If it is not snowing, then Deb and Sam do not go to the mall.

Solution:

A statement is logically equivalent to its contrapositive.

QUESTION: 22

Solution:

QUESTION: 23

and A² = I then x =

A.
0
B.
1
C.
− 1
D.
2

Solution:

QUESTION: 24

Number of numbers greater than 1000 but less than 4000 that can be formed by using the digits 0, 1, 2, 3, 4 when repetition is allowed is

A.
125
B.
105
C.
375
D.
625

Solution:

QUESTION: 25

Two dice are thrown simultaneously. The probability of getting a pair of 1 is

A.
1/36
B.
1/3
C.
1/6
D.
none of these

Solution:

QUESTION: 26

In a Binomial distribution, the probability of getting a success is 1/4 and standard deviation is 3. Then its mean is

A.
6
B.
8
C.
12
D.
10

Solution:

QUESTION: 27

A and B are two independent events. P( A and B) = 1/6 and the probability that neither of them occur is 1/3 . Find the probability occurrence of A?

A.
1/4
B.
1/3
C.
1/5
D.
1/8

Solution:

Let P(A) = X and P(B) = Y;
So, P(A’) = 1 - X and P(B’) = 1 - Y
P(A and B) = P(A) x P(B) = XY = 1/6
Probability that neither of them occurs = P(A’) x P(B’) = (1 - X) x (1 - Y) = 1/3
Solving the resulting quadratic equation, we get X = 1/3 or 1/2 that is the probability of occurrence of A

QUESTION: 28

The angles of a triangle are in the ratio 3:5:10. Then the ratio of the smallest side to the greatest side is

A.
1: sin 10^o
B.
1:2 sin 10^o
C.
1: cos 10^o
D.
1:2 cos10^o

Solution:

QUESTION: 29

11² + 12²+ 13² +....+20²is equal to

A.
2481
B.
2487
C.
2485
D.
2483

Solution:

QUESTION: 30

Given n = 10, ∑x = 4, ∑y = 3, ∑x² = 8, ∑y² = 9 and ∑xy = 3, then coefficient of correlation is

A.
1/4
B.
7/12
C.
15/4
D.
14/3

Solution:

QUESTION: 31

If each observation of a raw data, whose variance is σ², is multiplied by λ, then the variance of new set is

A.
σ²
B.
λ²σ²
C.
λ + σ²
D.
λ²+ σ²

Solution:

QUESTION: 32

The solution of the equation x+(1/x)=2 is

A.
2,-1
B.
0,-1,-(1/5)
C.
-1,-(1/5)
D.
none of these

Solution:

QUESTION: 33

The roots of the equation |x²|+|x|-6=0 are

A.
only one real number
B.
reals whose sum is 1
C.
reals whose sum is 0
D.
reals whose product is 0

Solution:

QUESTION: 34

Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is

A.
7/2
B.
5/2
C.
3/2
D.
9/2

Solution:

QUESTION: 35

The radius of the circle in which the sphere x² + y² + z² + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

A.
2
B.
3
C.
4
D.
1

Solution:

QUESTION: 36

The general solution of tan²θ = 3 is

A.
n π + (− 1)ⁿ π /3
B.
2 n π +_- π/3
C.
n π +_- π/3
D.
2n π + (− 1)ⁿ π/3

Solution:

QUESTION: 37

The normal to the curve x = a(1+cosθ), y = a sinθ at θ always passes through the fixed point

A.
(0, 0)
B.
(0, a)
C.
(a, 0)
D.
(a, a)

Solution:

Eliminating θ we get (x – a)² + y² = a²
Hence normal always pass through (a, 0)

QUESTION: 38

The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq.units. Then the equation of the cirlce is

A.
x² + y² + 2x - 2y = 47
B.
x² + y²- 2x + 2y = 47
C.
x² + y²- 2x + 2y = 62
D.
x² + y² + 2x - 2y = 62

Solution:

QUESTION: 39

The angle between the vectors 2i+3j+k and 2i-j-k is

A.
π/2
B.
π/4
C.
π/8
D.
π/6

Solution:

QUESTION: 40

The value of c for which the angle between the vectors cxi-6j+3k, xi+2j+2cxk is obtuse is

A.
c<0
B.
0<c=(4/3)
C.
-(4/3)<c<0
D.
c>0

Solution:

QUESTION: 41

In a pure inductive circuit or in an A.C. circuit containing inductance only, the current

A.
Leads the e.m.f. by 90⁰
B.
Lags behind the e.m.f. by 90⁰
C.
Sometimes leads and sometime lags behind the e.m.f.
D.
Is in phase with the e.m.f.

Solution:

QUESTION: 42

Light rays of wavelengths 6000 Å and of photon intensity 39.6 watts/m² is incident on a metal surface. If only one percent of photons incident on the surface emit photo electrons, then the number of electrons emitted per second per unit area from the surface will be [ Planck constant = 6.64 x 10^-34 J − s ; Velocity of light = 3 x 10⁸ ms^-1 ]

A.
2 x 10¹⁸
B.
10 x 10¹⁸
C.
12 x 10¹⁷
D.
12 x 10¹⁵

Solution:

QUESTION: 43

A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination is

A.
C₂/C₁ + C₂ V₀
B.
C₁/C₁ + C₂ V₀
C.
C₁ + C₂/C₂ V₀
D.
C₁ + C₂/C₁ V₀

Solution:

QUESTION: 44

In connection with chemical effect of current, Faraday constant is equal to

A.
electrochemical equivalent/chemical equivalent
B.
grams equivalent/electrochemical equivalent
C.
electrochemical equivalent/grams equivalent
D.
chemical equivalent/electrochemical equivalent

Solution:

E ∝ z or E = Fz or F = E/z
Where E = chemical equivalent
z = electrochemical equivalent

QUESTION: 45

Intensity of X - rays in coolidge tube is controlled by

A.
Gas pressure
B.
Applied voltage
C.
Degree of vacuum
D.
Filament current

Solution:

QUESTION: 46

A laser beam is used for carrying out surgery because it

A.
is highly monochromatic
B.
is highly coherent
C.
is highly directional
D.
can be sharply focussed

Solution:

As the laser beam is highly monochromatic, directional and coherent, it can be sharply focussed.
Therefore it is used for carrying out surgery

QUESTION: 47

Resistance in the two gaps of a meter bridge are 10 ohm and 30 ohm respectively. If the resistances are interchanged the balance point shifts by

A.
33.3 cm
B.
66.67 cm
C.
25 cm
D.
50 cm

Solution:

QUESTION: 48

A resistance R is stretched to four times its length. Its new resistance will be

A.
4 R
B.
64 R
C.
R/4
D.
16 R

Solution:

QUESTION: 49

A wire of resistance 12 ohms per meter is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the Figure, is:

A.
3 Ω
B.
6 π Ω
C.
6 Ω
D.
0.6 π Ω

Solution:

QUESTION: 50

When a current flows through a conductor its temperature

A.
May increase or decrease
B.
Remains same
C.
Decreases
D.
Increases

Solution:

QUESTION: 51

A photon in motion has a mass

A.
c/hv
B.
h/v
C.
hv
D.
hv/c²

Solution:

QUESTION: 52

In a noiseless transformer, an alternating current of 2 ampere is flowing in the primary coil. The no. of turns in the primary and secondary coils are 100 and 20 respectively. The value of the current in secondary coil is

A.
0.08 A
B.
0.4 A
C.
5 A
D.
10 A

Solution:

QUESTION: 53

In an A.C. circuit, maximum value of voltage is 423 volt. Its effective voltage is

A.
323 V
B.
340 V
C.
400 V
D.
300 V

Solution:

QUESTION: 54

Which of the following electromagnetic waves have the smallest wavelength?

A.
γ-rays
B.
X-rays
C.
UV waves
D.
infra-red rays

Solution:

QUESTION: 55

Choke coil works on the principle of

A.
Transient current
B.
Mutual induction
C.
Self induction
D.
Wattless current

Solution:

QUESTION: 56

A sphere S₁ of radius r₁ encloses a total charge Q. If there is another concentric sphere S₁ of radius r₂ > r 1 and there be no additional charges between S₁ and S₂, the ratio of electric flux through S₁ and S₂ is

A.
1
B.
r₁/r₂
C.
r₂/r₁
D.
r₁r₂

Solution:

QUESTION: 57

Two charges -10 C and + 10 C are placed 10cm apart. Potential at the centre of the line joining two charges is

A.
zero
B.
2 V
C.
-2 V
D.
none of these

Solution:

QUESTION: 58

Two equal print charges are fixed at x = -a and x = +a on the X axis. Another point charge Q is placed at the origin. The change in electrical potential energy of Q, when it is displaced by a small distance x along the X-axis is approximately proportional to

A.
x
B.
x²
C.
x³
D.
x^-1

Solution:

QUESTION: 59

A 5 μ F capacitor is fully charged across a 12V battery. It is then disconnected from the battery and connected to an uncharged capacitor. If the voltage across the capacitor becomes 3V, the capacitance of the uncharged capacitor is

A.
3 μ F
B.
15 μ F
C.
25 μ F
D.
60 μ F

Solution:

QUESTION: 60

The electric potential V is given as a function of distance x (metre) by V = (5x² + 10x - 9) volt. Value of electric field at x = 1m is

A.
-23 V/m
B.
11 V/m
C.
6 V/m
D.
-20 V/m

Solution:

V = 5x² + 10x - 9
E = - dv / dx
= - (10x + 10)
= -(10 x 1 + 10)
= - 20 V/m

QUESTION: 61

A quatity X is given by ε₀ L ΔV/Δt , where ε₀ is the permittivity of free space, L is a length, ΔV is potential difference and Δt is the time interval. The dimensional formula for X is the same as that of

A.
resistance
B.
charge
C.
voltage
D.
current

Solution:

[ε₀ L] = [capacitance] = [C]
∴ X = ε₀L ( ΔV/Δt ) = CΔV/Δt = ΔQ/Δt = current

QUESTION: 62

A charged particle moves through a magnetic field in a direction perpendicular to it. then the

A.
speed of the particle remains unchanged
B.
direction of the particle remains unchanged
C.
acceleration remains unchanged
D.
velocity remains unchanged

Solution:

QUESTION: 63

The average binding energy of the nucleon is

A.
931 MeV
B.
8 MeV
C.
1.6
D.
3

Solution:

The binding energy per nucleon of a nucleus is the binding energy divided by the total number of nucleons. Important features of the graph: Excluding the lighter nuclei, the average binding energy per nucleon is about 8 MeV.

QUESTION: 64

A radio active nucleus with mass number 'A' splits into the nuclei whose mass numbers are in the ratio 3:2, the ratio of their radii is

A.
3:2
B.
2:3
C.
(3/2)^1/3
D.
(2/3)^1/3

Solution:

QUESTION: 65

The source of stellar energy is

A.
Nuclear fission
B.
Nuclear fusion
C.
Excitation of electrons
D.
Thermionic emission

Solution:

QUESTION: 66

Photons of energy of 6 eV are incident on a metal surface whose work function is 4 eV. The minimum kinetic energy of the emitted photoelectrons will be

A.
0 eV
B.
1 eV
C.
2 eV
D.
10 eV

Solution:

QUESTION: 67

Which of the following pairs have linear relationship between themselves when photoelectrons are emitted from a surface :

A.
Frequency of incident radiation and stopping potential
B.
Photoelectric current and the pot-diff. between the surface and anode
C.
Photoelectric current and frequency of incident radiation
D.
Intensity of incident radiation and stopping potential

Solution:

QUESTION: 68

In the formation of a spectrum of white light by a prism, the deviation of violet colour is

A.
Maximum
B.
Minimum
C.
Zero
D.
None

Solution:

QUESTION: 69

The majority charge carriers in p - type semiconductor are

A.
Electrons
B.
Holes
C.
Ions
D.
Items

Solution:

QUESTION: 70

Application of a forward bias to a p-n junction

A.
widens the depletion zone
B.
increases the no. of donors on the n-side
C.
increases the electric field in the depletion zone
D.
increases the potential difference across the depletion zone

Solution:

QUESTION: 71

A p-n photodiode is fabricated from a semiconductor with band gap of 2.8 eV. Which of the following wavelengths it can detect?

A.
950 nm
B.
820 nm
C.
580 nm
D.
440 nm

Solution:

QUESTION: 72

The difference in the number of wavelengths, when yellow light propagates through air and vacuum columns of the same thickness, is one. The thickness of the air column is
(Refractive index of air μ a = 1.0003 ; Wavelength of yellow light in vacuum 6000 Å )

A.
1.8 mm
B.
2 mm
C.
2 cm
D.
2.2 cm

Solution:

Let λ_a and λ be the wavelengths of yellow light in air and vacuum respectively and v_a and c be their respective speeds in air and vacuum.
Since the frequency of light is the same in both media, we have

Now, if t is the thickness of each columm, then the number of wavelengths in the two media are

QUESTION: 73

Which of the following statements is wrong?

A.
Resistance of a semiconductor decreases on increasing the temperature
B.
Displacement of holes is opposite to the displacement of electrons in an electric field
C.
Resistance of a good conductor decreases on increasing the temperature
D.
n-type of semiconductor are neutral

Solution:

QUESTION: 74

A semi-conducting device is connected in a series circuit with a battery and a resistance. A current is found to pass through the circuit. If the polarity of the battery is reversed, the current drops to almost zero the device may be

A.
a p-n junction
B.
an intrinsic semiconductor
C.
a p-type semiconductor
D.
an n-type semiconductor

Solution:

QUESTION: 75

In a P-N junction diode

A.
The current in the reverse biased condition is generally very small
B.
The current in the reverse biased condition is small but the forward biased current is independent of the bias voltage
C.
The reverse biased current is strongly dependent on the applied bias voltage
D.
The forward biased current is very small in comparison to reverse biased current

Solution:

QUESTION: 76

Which of the following when added as an impurity into the silicon produces n-type semiconductor?

A.
P
B.
Al
C.
B
D.
Mg

Solution:

QUESTION: 77

When two coherent monochromatic light beams of intensities I and 4I are superimposed, the ratio between maximum and minimum intensities in the resultant beam is

A.
9:1
B.
1:9
C.
4:1
D.
1:4

Solution:

QUESTION: 78

If Young's double slit experiment of light, interference is performed in water, which one of the following is correct?

A.
Fringe width will decrease.
B.
Fringe width will increase.
C.
There will be no fringe.
D.
Fringe width will remain unchanged.

Solution:

QUESTION: 79

The superposition principle applies to

A.
Mechanical waves
B.
Electromagnetic waves
C.
Both A and B
D.
None of these

Solution:

QUESTION: 80

If the ratio of intensities of two waves causing interference be 9:4, then the ratio of maximum and minimum intensities will be

A.
3:2
B.
5:1
C.
9:4
D.
25:1

Solution:

QUESTION: 81

3 moles of ethanol react with one mole of phosphorus tribromide to form 3 moles of bromoethane and one mole of X. Which of the following is X?

A.
H₃PO₄
B.
H₃PO₂
C.
HPO₃
D.
H₃PO₃

Solution:

QUESTION: 82

Benzaldehyde can be prepared by the hydrolysis of

A.
Benzal choride
B.
Benzotrichloride
C.
Benzyl chloride
D.
Benzonitrile

Solution:

QUESTION: 83

Which of the following compounds does not react with NaHSO₃?

A.
C₆H₅CHO
B.
CH₃COC₆H₅
C.
Acetone
D.
Acetaldehyde

Solution:

QUESTION: 84

In nucleophilic substitution reactions, the reactivity of carbonyl compounds follows the order

A.
H₂C═O>R₂C═O>Ar₂C═O>RCHO>ArCHO
B.
H₂C═O>RCHO>ArCHO>R₂C═O>Ar₂C═0
C.
Ar₂C═O>R₂C═O>ArCHO>RCHO>H₂C═O
D.
ArCHO>Ar₂C═O>RCHO>R₂C═O>H₂C═0

Solution:

QUESTION: 85

The reaction/method that does not give an alkane is

A.
Catalytic hydrogenation of alkenes
B.
Wurtz reaction
C.
kolbe's electrolytic method
D.
Dehydrohalogenation of an alkyl halide

Solution:

QUESTION: 86

Ozonolysis of C₇H₁₄ gave 2-methyl-3-pentanone toluene. The alkene is

A.
2-Ethyl-3-methyl-1-butene
B.
3-Ethyl-2-methyl-3-butene
C.
2,5-Dimethyl-3, 4-dimethylhex-3-ene
D.
3-Ethyl-2-methyl-1-butene

Solution:

QUESTION: 87

The authenticity of an observation, made from an instrument depends upon its

A.
accuracy
B.
random error
C.
manufacturer
D.
quality

Solution:

QUESTION: 88

Assuming full decomposition, the volume of CO₂ released at STP on heating 9.85 g of BaCO₃ (At. mass Ba = 137) will be

A.
0.84 L
B.
0.24 L
C.
4.06 L
D.
1.12 L

Solution:

QUESTION: 89

Leucine amino acids is

A.
basic
B.
aromatic
C.
essential
D.
non-essential

Solution:

QUESTION: 90

The hormone which controls the process like burning of fats, proteins and carbohydrates to liberate energy in the body is

A.
cortisone
B.
thyroxine
C.
adrenaline
D.
insulin

Solution:

Thyroxine is a hormone secreted by thyroid gland.
This hormone controls various biochemical reactions involving burning of proteins carbohydrates, fats to release energy.

QUESTION: 91

Which of the following compounds is responsible for the transmission of heredity characters?

A.
RNA
B.
DNA
C.
Glucose
D.
Haemoglobin

Solution:

QUESTION: 92

Which of the following compounds is formed when benzamide is warmed with bromine and alkali?

A.
Benzenediazonium chloride
B.
Aniline
C.
Benzene
D.
Bromobenzene

Solution:

QUESTION: 93

Formic acid when treated with H₂SO₄ gives

A.
(COOH)₂
B.
CH₃COOH
C.
C₂H₅OH
D.
CO

Solution:

QUESTION: 94

Which of the following salt can be produced by the reaction of CO and caustic soda ?

A.
CH₃COONa
B.
Na₂C₂O₄
C.
HCOONa
D.
CH₃ONa

Solution:

QUESTION: 95

A glass bulb is filled with NO₂ gas and immersed in an ice bath at 0⁰C which becomes colourless after some time . This colourless gas will be

A.
NO₂
B.
N₂O
C.
N₂O₄
D.
N₂O₅

Solution:

QUESTION: 96

The rate, at which a substance reacts at constant temperature, depends upon its

A.
atomic mass
B.
active mass
C.
molecular mass
D.
equivalent mass

Solution:

QUESTION: 97

One mole of an ideal gas at 300 K is expanded isothermally from an initial volume of 1 litre to 10 litres. The ΔE for this process is (R = 2 cal.K^-1 mol^-1)

A.
163.7 cal
B.
1381.1 cal
C.
9 lt atm
D.
zero

Solution:

For isothermal reversible expansion of an ideal gas
W = - 2.303n RT log V₂/V₁
= - 2.303 x 1 x 2 x 300 log 10/1 (log 10 = 1)
= - 2.303 x 2 x 300 = - 1381.8 Cal
[R = 2 Cal mol^-1 K^-1, T = 300 K]
As ΔE = q + W (1st law of thermodynamics)
For isothermal process q = - W
So ΔE = - W + W = 0
For an isothermal change ΔE = 0
(Since internal energy is a function of temp and in an isothermal process temp remains constant)

QUESTION: 98

An endothermic reaction is one in which

A.
heat is converted into electricity
B.
heat is absorbed
C.
heat is evolved
D.
heat is converted into mechanical work

Solution:

QUESTION: 99

In which one the following reactions does the heat change represents the heat of formation of water

A.
2 H₂ + O₂ → 2 H₂ O , Δ H = − 116 K . c a l
B.
H₂ + 12 O₂ →H₂ O , Δ H = − 58 K . c a l
C.
H ⁺ + O H⁻ → H₂ O (l) , Δ H = − 13.7 K . c a l
D.
C₂ H₂ + 5/2 O₂ → 2 CO₂ + H₂ O, Δ H = − 310.62 K . c a l

Solution:

QUESTION: 100

A drug that is antipyretic as well as analgesic is

A.
Chloropromazine hydrochloride
B.
para-Acetamidophenol
C.
Chloroquin
D.
Penicillin

Solution:

QUESTION: 101

The arrangement of hydrogen atoms around carbon in the methane molecule is

A.
triangular
B.
square planar
C.
tetrahedral
D.
hexagonal

Solution:

QUESTION: 102

Considering H₂O as a weak field ligand, the number of unpaired electrons in [Mn(H₂O)₆]²⁺ will be (At no.Mn=25)

A.
three
B.
two
C.
five
D.
four

Solution:

QUESTION: 103

In the presence of acid, the hydrolysis of methyl cyanide gives

A.
Methanoic acid
B.
Ethanoic acid
C.
Methylamine
D.
Methyl alcohol

Solution:

QUESTION: 104

The oxidation state of copper in the above complex is

A.
0
B.
2
C.
1
D.
4

Solution:

O.N. of Cu in [Cu (NH₃)₄] SO₄ is +2.

QUESTION: 105

Hinsberg reagent is

A.
C₆H₅SO₃H
B.
C₂H₅NO
C.
C₆H₅SO₂Cl
D.
C₆H₅N₂Cl

Solution:

QUESTION: 106

Which of the following shows maximum no. of oxidation states?

A.
N
B.
Fe
C.
Mn
D.
Cr

Solution:

QUESTION: 107

The specific conductance of a 0.1 N KCl solution at 23⁰C is 0.012 ohm⁻¹ cm⁻¹. The resistance of cell containing the solution at the same temperature was found to be 55 ohm. The cell constant will be

A.
0.142 cm⁻¹
B.
0.66 cm⁻¹
C.
0.918 cm⁻¹
D.
1.12 cm⁻¹

Solution:

QUESTION: 108

Standard electrode potentials are Fe²⁺∕Fe (E⁰ = -0.44) Fe³⁺∕Fe²⁺(E⁰ = 0.77) Fe²⁺, Fe³⁺ and Fe blocks are kept together, then

A.
Fe³⁺ increases
B.
Fe³⁺ decreases
C.
Fe²⁺/Fe³⁺ remains unchanged
D.
Fe²⁺decreases

Solution:

QUESTION: 109

Ether is obtained from ethyl alcohol

A.
in presence of H₂SO₄ at 413 K
B.
in presence of H₂SO₄ at 474 K
C.
in presence of H₂SO₄ at 383 K
D.
in presence of H₂SO₄ at 273 K

Solution:

QUESTION: 110

The natural materials from which an element can be extracted economically are called

A.
Ores
B.
Minerals
C.
Gangue
D.
None of the above

Solution:

QUESTION: 111

At constant temperature, in a given mass of an ideal gas

A.
The ratio of pressure and volume always remains consatnt
B.
Volume always remains constant
C.
Pressure always remains constant
D.
The product of pressure and volume always remains consatnt

Solution:

QUESTION: 112

Which of the following has no tin in its composition?

A.
Solder
B.
Bronze
C.
Brass
D.
Tin stone

Solution:

QUESTION: 113

In nitrogen family, the H-M-H bond angle in the hydrides gradually becomes closer to 90^o on going from N to Sb. This shows that gradually

A.
The basic strength of the hydrides increases
B.
Almost pur p-orbitals are used for M-H bonding
C.
The bond energies of M-H bond increase
D.
The bond pairs of electrons become nearer to the central atom

Solution:

QUESTION: 114

White phosphorus is

A.
A monoatomic gas
B.
P₄, a tetrahedral solid
C.
P₈, a crown
D.
A linear diatomic molecule

Solution:

QUESTION: 115

SnCl₂ gives a precipitate with a solution of HgCl₂. In this process HgCl₂ is

A.
Reduced
B.
Oxidised
C.
Converted into a complex compound containing both Sn and Hg
D.
Converted into a chloro complex of Hg

Solution:

QUESTION: 116

Space lattice of CaF₂ is

A.
fcc
B.
bcc
C.
Simple cubic
D.
hcp

Solution:

QUESTION: 117

Types of geometrical isomerism shown at the points x, y and z of the following compound are respectively:

A.
x = cis, y = trans, z = trans
B.
x = cis, y = cis, z = trans
C.
x = cis, y = trans, z = cis
D.
x = trans, y = cis, z = trans

Solution:

QUESTION: 118

The CMC is the concentration at which

A.
micellization starts
B.
true solution is formed
C.
solute and solution form equilibrium
D.
one molar elecrolyte is present per 1000 g of solution

Solution:

QUESTION: 119

Both acid and base may react with which of the following oxides?

A.
CaO
B.
Na₂O₂
C.
ZnO
D.
Mn₃O₄

Solution:

QUESTION: 120

Most common oxidation states shown by cerium are

A.
+ 2, +4
B.
+ 3, + 4
C.
+ 3, + 5
D.
+ 2, + 3

Solution:

QUESTION: 121

Find the antonym of ANTIPATHY

A.
Obedience
B.
Admiration
C.
Agreement
D.
Fondness

Solution:

QUESTION: 122

Fill in the blank with appropriate word.
He is working under such........conditions that it is difficult to maintain his self-respect.

A.
low
B.
difficult
C.
inimical
D.
humiliating

Solution:

QUESTION: 123

Find the Syonym of ABSOLUTE

A.
Reasonable
B.
Narrow
C.
Limitless
D.
Reliable

Solution:

QUESTION: 124

Improve the sentence by choosing best alternative for capitalised part of the sentence.

It was SHE NOT ME who put forth the attractive proposition.

A.
she, not I,
B.
her, not me,
C.
her, not I,
D.
No improvement

Solution:

QUESTION: 125

Out of the given alternatives, choose the one which can be substituted for the given capitalised word.

The rebels HELD OUT for about a month.

A.
bargained
B.
resisted
C.
ratreated
D.
waited

Solution:

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