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VITEEE PCME Mock Test - 12

125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 12

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This mock test of VITEEE PCME Mock Test - 12 for JEE helps you for every JEE entrance exam. This contains 125 Multiple Choice Questions for JEE VITEEE PCME Mock Test - 12 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE PCME Mock Test - 12 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE PCME Mock Test - 12 exercise for a better result in the exam. You can find other VITEEE PCME Mock Test - 12 extra questions, long questions & short questions for JEE on EduRev as well by searching above.

QUESTION: 1

If x = a (θ + sinθ), y = a(1 - cosθ), then at θ = π/2, the length of the normal is

A.
2a
B.
a/2
C.
a√2
D.
a/√2

Solution:

QUESTION: 2

Area bounded by parabola y² = x and st.line 2 y = x is

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

Solution:

QUESTION: 3

A.
0
B.
1
C.
abc
D.
(a − b) (b − c) (c − a)

Solution:

QUESTION: 4

If w³= 1 and w ≠ 1, then (1 + w)(1 + w²)(1 + w⁴)(1 + w⁸) =

A.
3
B.
-3
C.
9
D.
1

Solution:

QUESTION: 5

If R → R is continuous such that f (x + y) = f(x) + f(y), ∀ x ∈ R , y ∈ R , and f(1) = 2 then f(100) =

A.
100
B.
50
C.
200
D.
0

Solution:

QUESTION: 6

If α and β are real them

A.
Lies between 0 and 1
B.
1
C.
> 1
D.
None

Solution:

QUESTION: 7

The area of the curve |x|+|y|=4 is

A.
4 sq.unit
B.
8 sq.unit
C.
16 sq.unit
D.
32 sq.unit

Solution:

QUESTION: 8

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 = 1
C.
Except at x = 0
D.
Except at x = 0 or 1

Solution:

QUESTION: 9

Which of the following is a solution of the differential equation ( dy/dx )² - x dy/dx + y = 0

A.
y=2x-4
B.
y=2x²-4
C.
y=2
D.
y=2x

Solution:

( d/ dx )² - x . dy/dx + y = 0
y = 2x - 4
∴ dy dx = 2
So, ( dy dx )² - x . dy dx + y
= (2)² - x x 2 + 2x - y
= 4 - 2x + 2x - y
= 0

QUESTION: 10

A.
abc
B.
a + b + c
C.
0
D.
a²+ b² + c²

Solution:

QUESTION: 11

The solution of the differential equation cos(x + y)dy = dx is

A.
y = tan^-(x + y)
B.
y − C = tan(x + y)/2
C.
y = C + sin(x + y)
D.
y = C + cos(x + y)

Solution:

QUESTION: 12

(d²y/dx²)² + x(dy/dx)² is a differential equation of

A.
degree 2, order 2
B.
degree 3, order 3
C.
order 2, degree 3
D.
None of these

Solution:

QUESTION: 13

4[cot^-13 + cosec^-1(√5)] is equal to

A.
π
B.
π/2
C.
π/4
D.
3π/4

Solution:

QUESTION: 14

The function f(x) = x³- 3x²- 24x + 5 is increasing in the interval

A.
(-∞,-2)∪(4,∞)
B.
(-2,∞)
C.
(-2,4)
D.
(-∞,4)

Solution:

QUESTION: 15

The solution of differential equation 2y sin x(dy/dx)=2 sinx cosx - y² cosx; x=(π/2), y=1, is

A.
y²=sinx
B.
y=sin²x
C.
y²= cosx+1
D.
none of these

Solution:

QUESTION: 16

The value of is equal to

A.
1/2 tan hx
B.
1/4 tan hx
C.
1/2 cot h/x
D.
1/4 cot hx

Solution:

QUESTION: 17

Solution:

QUESTION: 18

If a , b , c are positive then

A.
0
B.
π
C.
π/2
D.
π/4

Solution:

QUESTION: 19

then a =

A.
0
B.
1
C.
3
D.
2e

Solution:

QUESTION: 20

A.
π/2
B.
π
C.
2/π
D.
0

Solution:

QUESTION: 21

The order of the matrix A is 3 x 5 and that of B is 2x3 . The order of the matrix BA is

A.
2 x 3
B.
3 x 2
C.
2 x 5
D.
5 x 2

Solution:

QUESTION: 22

Which of the following is not a statement in logic ?
1. Earth is planet .
2. Plants are living object .
3. √-3 is rational number .
4. x² - 5x + 6 < 0, where x ∈ − R

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

Solution:

QUESTION: 23

If all the elements of a 3 x 3 matrix A are 1, then A² → 3 A is

A.
A null matrix
B.
A unit matrix
C.
A scalar matrix
D.
A diagonal matrix

Solution:

QUESTION: 24

How many words can be formed by taking letters 4 at a time out of letters of the word MATHEMATICS?

A.
2500
B.
2550
C.
2454
D.
3000

Solution:

QUESTION: 25

A die is thrown 100 times. If getting an even number is considered a success, then the variance of the number of successes is

A.
50
B.
25
C.
10
D.
100

Solution:

QUESTION: 26

A card is taken out of a pack of 52 cards numbered 2 to 53. The probability that the number on the card is a prime number less than 20 is

A.
1/13
B.
2/13
C.
3/13
D.
4/13

Solution:

QUESTION: 27

Of cigarette smoking population 70% are men and 30% are women, 10% of these men and 20% of women smoke wills. Probability that a person seen smoking a wills to be male is

A.
1/5
B.
7/13
C.
5/13
D.
7/10

Solution:

QUESTION: 28

If in any ∆ABC, a=(√3+1)cm and ∠B=30⁰, ∠C=45⁰, then the area of triangle is

A.
[(√3+1)/3]cm²
B.
[(√3+1)/2]cm²
C.
[(√3+1)/2√2]cm²
D.
[(√3+1)/3√2]cm²

Solution:

QUESTION: 29

a, b, c are three unequal numbers such that a, b, c are in A.P. ; b - a, c - b, a are in G.P., then a : b : c : :

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

Solution:

Since a, b, c are in A.P.,
∴ b - a = c - b
Also b - a, c - b, a are in G.P
∴ (c - b)² = (b - a)a
⇒ (b - a)² = (b - a)a
⇒ b - a = a
⇒ b = 2a
Also c = 2b - a = 2(2a) - a = 3a
∴ a : b : c = a : 2a : 3a = 1 : 2 : 3

QUESTION: 30

The median of 10, 14, 11, 9, 8, 12, 6 is

A.
10
B.
12
C.
14
D.
11

Solution:

QUESTION: 31

The mode of the following items is 0,1,6,7,2,3,7,6,6,2,6,0,5,6,0, is

A.
0
B.
5
C.
6
D.
2

Solution:

QUESTION: 32

If the roots of 4x³ − 12x² + 11 x + k = 0 are in A.P. then k =

A.
− 3
B.
1
C.
2
D.
3

Solution:

QUESTION: 33

If the roots of the equation (2k+1)x² - (7k-3)x+k+2=0 are reciprocal of each other, the value of k is

A.
0
B.
1
C.
2
D.
3

Solution:

QUESTION: 34

A tetrahedron has vertices at O (0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C (-1, 1, 2). Then the angle between the faces OAB and ABC will be

A.
cos^-1(17/31)
B.
30⁰
C.
90⁰
D.
cos^-1(19/35)

Solution:

QUESTION: 35

The equation of the sphere concentric with the sphere
x² + y² + z² - 4x - 6y - 8z - 5 = 0 and which passes through the point (0, 1, 0) is

A.
x² + y² + z² + 4x + 6y - 8z - 7 = 0
B.
x² + y² + z² - 4x - 6y - 8z = 0
C.
x² + y² + z² - 4x - 6y - 8z + 5 = 0
D.
x² + y² + z² - 4x + 6y - 8z - 7 = 0

Solution:

QUESTION: 36

If tan (cotx) = cot(tanx), then sin2x is equal to

A.
2/(2n+1)π
B.
4/(2n+1)π
C.
2/n(n+1)π
D.
4/n(n+1)π

Solution:

QUESTION: 37

Locus of mid point of the portion between the axes of x cosα + y sinα = p where p is constant is

A.
x² + y² = 4/p²
B.
x² + y² = 4p²
C.
(1/x²) + (1/y²) = 2/p²
D.
(1/x²) + (1/y²) = 4/p²

Solution:

QUESTION: 38

Two tangents are drawn from the point (-2, -1) to the parabola y² = 4x. If α is the angle between these tangents, then tan α =

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

Solution:

QUESTION: 39

A unit vector perpendicular to each of the vectors (-6î+8k̂), (8î+6k̂) forming a right handed system is

A.
-ĵ
B.
ĵ
C.
1/10(6î+8k̂)
D.
1/10(-6î+8k̂)

Solution:

QUESTION: 40

The projection of the vector î - 2 ĵ + k̂ on the vector 4 î - 4 ĵ + 7 k̂ is

A.
5√6/10
B.
19/9
C.
9/19
D.
√6/19

Solution:

QUESTION: 41

A circuit consists of a resistor, an inductor and a capacitor connected in series. If resistance of the resistor is 25 Ω and the value of inductive reactance is equal to capacitive reactance, then net impedance of the circuit will be

A.
5 Ω
B.
25 Ω
C.
125 Ω
D.
625 Ω

Solution:

QUESTION: 42

The force experienced by the cathode rays when they pass through an electric field of intensity E → is

A.
In the direction of electric field
B.
In the direction opposite to the electric field
C.
At right angles to the electric field
D.
Zero, because the cathode rays do not have any electric charge

Solution:

QUESTION: 43

In photo electric effect the stopping potential is

A.
Increases with increase of frequency of incident light
B.
Decreases with increase of frequency of incident light
C.
First increases and then becomes constant with increase of frequency of incident light
D.
Is independent of frequency of incident light

Solution:

In the photoelectric effect is that the stopping potential is a function of the frequency of the incident light. As shown in Figure, there is even a cutoff frequency ν₀ below which there is no photoelectric effect occurs, regardless of the intensity of the light.

A plot of stopping potential vs. frequency of incident light (Cathode: Sodium ; Cutoff frequency νo =4.39x 10¹⁴ Hz
Hence option (A) is correct.

QUESTION: 44

A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor

A.
decreases
B.
remains unchanged
C.
becomes infinite
D.
increases

Solution:

The thickness of the foil is negligible

QUESTION: 45

For electroplating a spoon, it is placed in the voltameter at

A.
the position of anode
B.
the position of cathode
C.
exactly in the middle of anode and cathode
D.
anywhere in the electrolyte

Solution:

QUESTION: 46

In short wave communication waves of which of the following frequencies will be reflected back by the ionospheric layer having electron density 10¹¹ per m^-3?

A.
2 MHz
B.
10 MHz
C.
12 MHz
D.
18 MHz

Solution:

N max = 10¹¹per m^-3

QUESTION: 47

Which statement is true ?
(i) Kirchhoff's law is not equally applicable to both AC and DC.
(ii) Semiconductors have a positive temperature coefficient of resistance.
(iii) Meter bridge is least sensitive when the resistance of all the four arms of the bridge are of the same order .
(iv) The emf of a cell depends upon the size and area of electrodes.

A.
(i) and (iv)
B.
(ii) and (iv)
C.
(iii) and (iv)
D.
None of these

Solution:

QUESTION: 48

The resistance of series combination of two equal resistances is S. When they are joined in parallel, the total resistance is P. If S=nP, then the possible value of n is

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

Solution:

QUESTION: 49

The electrical resistance of a mercury column in a cylindrical container is R. When the same mercury is poured into another cylindrical container twice the radius of the first, then resistance of mercury column is

A.
R/2
B.
R/4
C.
R/8
D.
R/16

Solution:

QUESTION: 50

A beam of electrons is moving with constant velocity in a region having electric and magnetic fields of strength 20 Vm^-1 and 0.5 T at right angles to the direction of motion of the electrons. What is the velocity of the electrons ?

A.
20 ms^-1
B.
40 ms^-1
C.
8 ms^-1
D.
5.5 ms^-1

Solution:

QUESTION: 51

The internal resistance of a cell is the resistance of

A.
Electrodes of the cell
B.
Vessel of the cell
C.
Electrolyte used in the cell
D.
Material used in the cell

Solution:

QUESTION: 52

A transformer is employed to

A.
Obtain a suitable d.c. voltage
B.
Convert d.c. into a.c.
C.
Obtain a suitable alternating voltage
D.
Convert a.c. into d.c

Solution:

QUESTION: 53

The induced e.m.f. produced in the primary and secondary coils is 2 mV and 5 mV respectively. If the rate of change of current is 20 A-s^-1, then coefficient of mutual induction of the secondary coil is

A.
0.25 mH
B.
0.5 mH
C.
1 mH
D.
5 mH

Solution:

QUESTION: 54

A transformer is having 2100 turns in primary and 4200 turns in secondary. An a.c. source of 120 V, 10 A is connected to its primary. The secondary voltage and current are :

A.
240 V,5A
B.
120 V,10A
C.
240 V,10A
D.
120 V,20A

Solution:

QUESTION: 55

Which of the following has the minimum frequency?

A.
radio wave
B.
micro wave
C.
audible wave
D.
ultrasonic wave

Solution:

QUESTION: 56

Eight dipoles of charges of magnitude e are placed inside a cube. The total electric flux coming out of the cube will be

A.
8 e/∈₀
B.
16 e/∈₀
C.
e/∈₀
D.
zero

Solution:

QUESTION: 57

Two equal charges, q each are placed at a distance of 2a, and a third charge -2q is placed at the mid point. The potential energy of the system is

A.
q²/8 π ∈₀ a
B.
6q²/8 π ∈₀ a
C.
-7q²/8 π ∈₀ a
D.
9q²/8 π ∈₀ a

Solution:

QUESTION: 58

Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p. If P is a point at a distance r from the centre of the dipole and the line joining centre to this point makes an angle θ with the axis of the dipole, then potential at the point P is given by

A.
V = p cos θ/4 π ∈₀ r²
B.
V = p cos θ/4 π ∈₀ r
C.
V = p sin θ/4 π ∈₀ r
D.
V = p cos θ/4 π ∈₀ r²

Solution:

QUESTION: 59

An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will be

A.
8 μF
B.
6 μF
C.
4 μF
D.
2 μF

Solution:

QUESTION: 60

A point charge Q is placed at a distance d from the centre of an uncharged conduction sphere of radius R. The potential of the sphere is d > R :

Solution:

QUESTION: 61

A long solenoid has a radius a and number of turns per unit length is n. If it carries a current I, then the magnetic field on its axis is directly propotional to

A.
an I
B.
n I
C.
n I/a
D.
n²I

Solution:

QUESTION: 62

In a nuclear reactor, material used for control rods is

A.
Uranium
B.
Graphite
C.
Liquid sodium
D.
Cadmium

Solution:

QUESTION: 63

When P₁₅³⁰ decays to become Si₁₄³⁰ the particle released is

A.
Electron
B.
α - particle
C.
Neutron
D.
Positron

Solution:

QUESTION: 64

A body of capacity 4 μ F is charged to 80V and another body of capacity 6 μ F is charged to 30V. When they are connected the energy lost by 4 μ F is

A.
7.8 mJ
B.
4.6 mJ
C.
3.2 mJ
D.
2.5 mJ

Solution:

E₁ = 1/2 C₁V²; E₂ = 1/2 C₂V²

QUESTION: 65

The photoelectric work function of a metal is 5 eV. Its threshold wavelength will be approximately

A.
2000Å
B.
2500Å
C.
3000Å
D.
5000Å

Solution:

QUESTION: 66

If M(A;Z), M p and M n denote the masses of the nucleus Z A X , proton and neutron respectively in units of u (1u=931.5 MeV/C²) and BE represents its bonding energy in MeV, then

A.
M(A,Z) = ZM p + (A − Z)M n + BE ∕ C²
B.
M(A,Z) = ZMp + (A − Z)Mn − BE ∕ C²
C.
M(A,Z) = ZMp + (A − Z)Mn + BE
D.
M(A,Z) = ZMp + (A − Z)Mn − B E

Solution:

QUESTION: 67

Which one of the following is true in photoelectric emission

A.
photoelectric current is directly proportional to the amplitude of ight of a given frequency
B.
photoelectric current is directly proportional to the intensity of light of a given frequency at moderate intensities
C.
Above the threshold frequency, the maximum K.E. of photoelectrons is inversely proportional to the frequency of incident light
D.
The threshold frequency depends upon the wavelength of incident light

Solution:

QUESTION: 68

When a beam of light is used to determine the position of an object, the maximum accuracy is achieved if the light is

A.
Polarised
B.
Of longer wavelength
C.
Of shorter wavelength
D.
Of high intensity

Solution:

QUESTION: 69

Fraunhofer spectrum is a

A.
Line absorption spectrum
B.
Band absorption spectrum
C.
Line emission spectrum
D.
Band emission spectrum

Solution:

QUESTION: 70

When A is the internal stage gain of an amplifier and β is the feedback ratio, then the amplifier becomes as oscillator if

A.
β is negative and magnitude of β = 1/A
B.
β is positive and magnitude of β = 1/A
C.
β is negative and magnitude of β = A
D.
β is positive and magnitude of β = 1/A

Solution:

QUESTION: 71

In a common-base amplifier, the phase difference between the input signal voltage and output voltage is

A.
0
B.
π/4
C.
π/2
D.
π

Solution:

A common-emitter amplifier is shown in the figure (A).
In this Circuit , the output signal is an amplified version of the input signal and is 180 degrees out of phase with the input signal.

Common emitter Amplifier

Common Base Amplifier

Figure (B) is a common-base amplifier. In this circuit the output signal is an amplified version of the input signal and is in phase with the input signal. In both of these circuits, the output signal is controlled by the base-to-emitter bias. As this bias changes (because of the input signal) the current through the transistor changes.

QUESTION: 72

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: 73

To obtain p - type extrinsic semiconductor, the impurity element to be added to Germanium should be of valence

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

Solution:

QUESTION: 74

Which of the following statement is true about p-type semiconductors?

A.
holes are majority charge cariers
B.
holes are minority charge carriers
C.
electrons are majority charge carriers
D.
neutrons are majority charge carriers

Solution:

QUESTION: 75

When the conductivity of a semiconductor is only due to breaking of covalent bonds, the semiconductor is called

A.
extrinsic
B.
intrinsic
C.
n-type
D.
p-type

Solution:

QUESTION: 76

In P-type semiconductor, there is

A.
An excess of one electron
B.
Absence of one electron
C.
A missing atom
D.
A donar level

Solution:

QUESTION: 77

Bright colours exihibited by spider's web exposed to sun light are due to

A.
diffraction
B.
polarisation
C.
interference
D.
resolution

Solution:

QUESTION: 78

When distance between source of light and observer decreases, then the apparent frequency of light

A.
decreases
B.
increases
C.
remains same
D.
first '1' then '2'

Solution:

QUESTION: 79

Who was the first to demonstrate the phenomenon of interference of light?

A.
Huygen
B.
Thomas young
C.
Fresnel
D.
Louis de Broglie

Solution:

QUESTION: 80

A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of slit is

A.
Zero
B.
π
C.
π/2
D.
2π

Solution:

QUESTION: 81

Which of the following compounds can exist in optically active form?

A.
1-Butanol
B.
2-Butanol
C.
3-Pentanol
D.
4-Heptanol

Solution:

QUESTION: 82

Treatment of furfural with NaOH yields

A.
Furoin
B.
Furoic acid
C.
Furfuryl alcohol and sodium salt of furan-2-carboxylic acid
D.
No reaction

Solution:

QUESTION: 83

When acetaldehyde is treated with Fehling's solution, the following precipitate is formed

A.
CuO
B.
Cu₂O
C.
Cu
D.
Ag

Solution:

QUESTION: 84

Wurtz reaction involves the interaction of alkyl halides in dry ether with

A.
Sodium
B.
Zinc
C.
Copper
D.
Platinum

Solution:

QUESTION: 85

Carbonyl compounds undergo nucleophilic addition because of

A.
electronegativity difference of carbon and oxygen atoms
B.
electromeric effect
C.
more stable anion with negative charge on oxygen atom and less stable carbonium ion
D.
none of the above

Solution:

QUESTION: 86

1-Butene may be converted to butane by reaction with

A.
Zn-HCl
B.
Sn-HCl
C.
Zn-Hg
D.
Pd/H₂

Solution:

QUESTION: 87

The number of atoms contained in 11.2 L of SO₂ at S.T.P. are

A.
3/2 x 6.02 x 10²³
B.
2 x 6.02 x 10²³
C.
6.02 x 10²³
D.
4 x 6.02 x 10²³

Solution:

QUESTION: 88

The most stable free radical among the following is

A.
C₆H₅CH₂CH₂
B.
C₆H₅CHCH₃
C.
CH₃CH₂
D.
CH₃CHCH₃

Solution:

QUESTION: 89

Which carbohydrate is used in silvering of mirrors?

A.
sucrose
B.
fructose
C.
glucose
D.
starch

Solution:

QUESTION: 90

Which amino acid is achrial?

A.
Alanine
B.
Valine
C.
Proline
D.
None of the above

Solution:

QUESTION: 91

Cane sugar on hydrolysis gives

A.
Glucose
B.
Fructose
C.
Both
D.
None

Solution:

QUESTION: 92

Melting points are normally the highest for

A.
Tertiary amides
B.
Secondary amides
C.
Primary amides
D.
amines

Solution:

QUESTION: 93

From the following values of dissociation constants of four acids which value represents the strongest acid ?

A.
2x10^-2
B.
0.02 x 10^-1
C.
3 x 10^-3
D.
none of these

Solution:

QUESTION: 94

What is the main reason for the fact that carboxylic acids can undergo ionization?

A.
Absence of alpha-hydrogen
B.
Resonance stabilization of the carboxylate ion
C.
High reactivity of alpha-hydrogen
D.
Hydrogen bonding

Solution:

QUESTION: 95

A reversible reaction is said to have attained equilibrium, when

A.
backward reaction stops
B.
both backward and forward reactions stop
C.
both backward and forward reactions take place at equal speed
D.
concentration of each of the reactants and products becomes equal

Solution:

QUESTION: 96

A reaction reaches a state of chemical equilibrium only when

A.
The reactants and the products are reacting
B.
The concentrations of the reactants and products become equal
C.
The products react together at the same rate at which they are formed
D.
All the reactants and the products are in the same state of matter

Solution:

QUESTION: 97

100cc of 0.1M HCl and 100cc of 0.1 M NaOH solutions are mixed in a calorimeter. If the heat liberated is 'Q' kcal, the heat of neutralization ( Δ H ) (in kcal) of HCl(aq) and NaOH(l) is

A.
10 Q
B.
− 100 Q
C.
− 1000
D.
Q

Solution:

QUESTION: 98

Which of the following is an extensive property?

A.
no. of moles
B.
molarity of substance
C.
molar volume of substance
D.
molar fraction of substance

Solution:

QUESTION: 99

What is the amount of heat liberated (in k.cal) when one mole of aquesous NaOH reacted with one mole of aqueous HCl solution?

A.
22.4
B.
13.7
C.
2.303
D.
0.693

Solution:

QUESTION: 100

Synthetic detergents are sodium salts of long chain

A.
oxalates
B.
sulphates
C.
sulphonates
D.
both 2 and 3

Solution:

QUESTION: 101

A chiral compound is

A.
2,3,4-Trimethylhexane
B.
n-Hexane
C.
Methane
D.
n-Butane

Solution:

QUESTION: 102

In the compound lithium tetrahydroaluminate, the ligands are

A.
Al⁺
B.
H
C.
H⁻
D.
None of these

Solution:

QUESTION: 103

In Fe(CO)₅ , the Fe ---- C bond possesses

A.
ionic character
B.
σ -character only
C.
π -character only
D.
both σ and π characters

Solution:

QUESTION: 104

Diazo coupling is useful to prepare

A.
Dyes
B.
Pesticides
C.
Vitamins
D.
Proteins

Solution:

QUESTION: 105

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

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

Solution:

QUESTION: 106

The equivalent conductivity of 0.1 M weak acid is 100 times less than that at infinite dilution.The degree of dissociation is

A.
100
B.
10
C.
0.01
D.
0.001

Solution:

QUESTION: 107

A current liberates 0.504 g of hydrogen in 2 hours, the amount of copper liberated from a solution of CuSO₄ by the same current flowing for the same time would be

A.
31.8 g
B.
63.6 g
C.
15.9 g
D.
6.36 g

Solution:

QUESTION: 108

Faraday constant

A.
is a numerical constant
B.
depends on equivalent
C.
depends upon the current passed
D.
depends on the number of electrons

Solution:

QUESTION: 109

Which of the following statements is incorrect?

A.
Sodium is the most abundant metal in earth's crust
B.
Sodium is the most abundant metallic element in sea water
C.
Melting and boiling points of alkali metals decreases down the group
D.
Ionic character of alkali metal halides decreases down the group

Solution:

QUESTION: 110

Ether which is liquid at room temperature is

A.
C₂H₅OCH₃
B.
CH₃OCH₃
C.
C₂H₅OC₂H₅
D.
None

Solution:

QUESTION: 111

Which of the following is most dense?

A.
Fe
B.
B
C.
Cu
D.
Pb

Solution:

QUESTION: 112

The internal energy of one mole of an ideal gas is given by

A.
3/2 RT
B.
1/2 KT
C.
1/2 RT
D.
3/2 KT

Solution:

QUESTION: 113

A crystal lattice with alternate positive and negative ions has radius ratio 0.524. Its coordination number is

A.
3
B.
4
C.
6
D.
12

Solution:

Radius ratio of the given crystal lattice is in the range of 0.414 - 0.732. So the coordination number is 6.

QUESTION: 114

Oxidation state of + 1 for P is found in

A.
H₃PO₃
B.
H₃PO₄
C.
H₃PO₂
D.
H₄P₂O₇

Solution:

QUESTION: 115

While phosphorus forms PCl₅, nitrogen does not form NCl₅ because

A.
Nitrogen is more electronegative than phosphorus.
B.
Nitrogen atom is smaller than phosphorus.
C.
The ionisation energy of nitrogen is greater than phosphorus.
D.
Unlike phosphorus, nitrogen has not d-orbitals in valency shell.

Solution:

QUESTION: 116

Which acts as both oxidising as well as reducing agent ?

A.
HNO₃
B.
HNO₂
C.
H₂SO₄
D.
HCl

Solution:

QUESTION: 117

Collodial solution of arsenious sulphide is prepared by

A.
hydrolysis
B.
peptization
C.
double decomposition
D.
electrodispersion method

Solution:

QUESTION: 118

Following configuration of the tartaric acid represents

A.
2R, 3R
B.
2R, 3S
C.
2S, 3S
D.
2S, 3R

Solution:

QUESTION: 119

The + 3 ion of which one of the following has half-filled 4f subshell ?

A.
La
B.
Lu
C.
Gd
D.
Ac

Solution:

QUESTION: 120

An important ore of copper is

A.
Bauxite
B.
Galena
C.
Siderite
D.
Chalcopyrites

Solution:

QUESTION: 121

Find the Antonym of TACTFUL

A.
relaxed
B.
strict
C.
naive
D.
disciplined

Solution:

QUESTION: 122

Fill in the blank with appropriate word.
I.......missed the train this morning as I got up late

A.
quite
B.
scarcely
C.
narrowly
D.
hardly

Solution:

QUESTION: 123

Find the synonym of OBSTREPEROUS

A.
awkward
B.
lazy
C.
unruly
D.
sullen

Solution:

QUESTION: 124

Fill in the blanks with the most suitable idiom/phrase.

Let us now _____ and work for the advancement of the country .

A.
blow our trumpet
B.
feather our own nest
C.
sit on the fence
D.
bury the hatchet

Solution:

QUESTION: 125

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

Let's buy a new sari with the annual bonus, CAN WE ?

A.
can't we
B.
don't we
C.
shall we
D.
No improvement

Solution:

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If x = a (θ + sinθ), y = a(1 - cosθ), then at θ = π/2, the length of the normal is

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Liquid sodium

Cadmium

2000Å

2500Å

3000Å

5000Å

photoelectric current is directly proportional to the amplitude of ight of a given frequency

photoelectric current is directly proportional to the intensity of light of a given frequency at moderate intensities

Above the threshold frequency, the maximum K.E. of photoelectrons is inversely proportional to the frequency of incident light

The threshold frequency depends upon the wavelength of incident light

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