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Test: BITSAT Mock Test- 9 - Question 1

A radioactive substance emits

Test: BITSAT Mock Test- 9 - Question 2

If M = mass, L =length,T =time and I = electric current then the dimensional formula for electrical resistance R is given by

Test: BITSAT Mock Test- 9 - Question 3

When the speed of electrons increases, then the value of its specific charge

Test: BITSAT Mock Test- 9 - Question 4
A strip of copper and another of germanium are cooled from room temperature to 80 K. The resistance of
Test: BITSAT Mock Test- 9 - Question 5
The first line in the Lyman series has wavelength λ. The wavelength of the first line in Balmer series is
Test: BITSAT Mock Test- 9 - Question 6
Energies of electrons can be increased by allowing them
Test: BITSAT Mock Test- 9 - Question 7
In an A.C. circuit, the current is given by i = 5 sin (100t - π/2) ampere and the A.C. potential is V = 200 sin (100t) volt. Then the power consumption is
Test: BITSAT Mock Test- 9 - Question 8

An inductance L having a resistance R is connected to an alternating source of angular frequency ω. The quality factor (Q) of the inductance is L/R

Test: BITSAT Mock Test- 9 - Question 9
The two point charges of 2C are -6C attract each other with a force of 12N. A -ve charge of 2C is added to each of the above charges. Now the force between them is
Test: BITSAT Mock Test- 9 - Question 10
A charge q is located at the centre of a cube. The electric flux through any face is
Test: BITSAT Mock Test- 9 - Question 11
To aviod slipping while walking on ice, one should take smaller steps because of the
Test: BITSAT Mock Test- 9 - Question 12
The time-period of a satellite of earth is 5 h. If the separation between the earth and satellite is increased to 4 times the previous value, the new time-period will become
Test: BITSAT Mock Test- 9 - Question 13
An electric current passes through a long straight copper wire. At a distance 5 cm from the straight wire, the magnetic field is B. The magnetic field at 20 cm from the straight wire would be
Test: BITSAT Mock Test- 9 - Question 14

A thin rectangular magnet suspended freely has a period of oscillation equal to T. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is T ′ the ratio T ′/T is

Test: BITSAT Mock Test- 9 - Question 15
A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If entire arrangement is put in a freely elevator, the length of water column in the capillary tube will be
Test: BITSAT Mock Test- 9 - Question 16
The ratio of tangential stress to the shearing strain is called
Test: BITSAT Mock Test- 9 - Question 17

Thiefs car is moving with a speed of 10 ms⁻1. A police van chasing this car with a speed of 5 ms⁻1 fires a bullet at the thief's car with muzzle velocity 72 km/h. Find the speed with which the bullet will hit the car.

Test: BITSAT Mock Test- 9 - Question 18
The angular velocity of a wheel is 70 rad/sec. If the radius of the wheel is 0.5 m, then linear velocity of the wheel is
Test: BITSAT Mock Test- 9 - Question 19

A boy of 50 kg is in a lift moving down with an accleration 9.8 ms⁻2. The apparent weight of the body is (g=9.8 ms⁻2)

Test: BITSAT Mock Test- 9 - Question 20

A particle of mass m is projected with velocity ν making an angle of 45o with the horizontal . When the particle lands on the level ground the magnitude of the changes in its momentum will be

Test: BITSAT Mock Test- 9 - Question 21
A chimpanzee, swinging on a swing in a sitting position, stands up suddenly. The time period will
Test: BITSAT Mock Test- 9 - Question 22

A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 0.5 m long. The speed of the bob, when the length makes an angle of 60o to the verticle, will be (If g=10 m/s2)

Test: BITSAT Mock Test- 9 - Question 23
The resolving power of a telescope depends on
Test: BITSAT Mock Test- 9 - Question 24
Three identical metal balls each of radius r are placed touching each other on a horizontal surface such that an equilateral triangle is formed when centers of three balls are joined. The centre of mass of system is located at
Test: BITSAT Mock Test- 9 - Question 25
Two identical particles move towards eachother with velocity 2ν and ν respectively. The velocity of centre of mass is
Test: BITSAT Mock Test- 9 - Question 26
Ratio of K.E. and R.E.in the motion of a disc is
Test: BITSAT Mock Test- 9 - Question 27
On giving 220 V to a resistor the power dissipated is 40 W then value of resistance is
Test: BITSAT Mock Test- 9 - Question 28
When there is no heat change from surroundings in a system, then the process taking place is
Test: BITSAT Mock Test- 9 - Question 29
On opening the door of refrigerator, the room temperature
Test: BITSAT Mock Test- 9 - Question 30
The unit of force is a
Test: BITSAT Mock Test- 9 - Question 31
The golden view of sea shell is due to
Test: BITSAT Mock Test- 9 - Question 32
In young's double slit experiment, the intensity of central maximum is I. It one slit is closed, the intensity at the same place will become
Test: BITSAT Mock Test- 9 - Question 33
Through which character we can distinguish the light waves from sound waves?
Test: BITSAT Mock Test- 9 - Question 34
Two waves are propagating with same amplitude and nearly same frequency. They result in
Test: BITSAT Mock Test- 9 - Question 35
A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is
Test: BITSAT Mock Test- 9 - Question 36
The kinetic energy of a body is four times it momentum. Its velocity is
Test: BITSAT Mock Test- 9 - Question 37
The IUPAC name of the an unsymmetrical ether with the molecular formula C4H10O
Test: BITSAT Mock Test- 9 - Question 38

The energy of second Bohr orbit of hydrogen atom is -328 kJ mol⁻1, hence energy of fourth Bohr orbit would be

Test: BITSAT Mock Test- 9 - Question 39

Which of the following reagents reacts differently with HCHO, CH3CHO and CH3COCH3?

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 39

Test: BITSAT Mock Test- 9 - Question 40
Consider the ground state of Cr atom (Z=24), the number of electrons with the azimuthal quantum numbers l=1 and 2 respectively:
Test: BITSAT Mock Test- 9 - Question 41
Which of the following has the smallest heat of hydrogenation per mole?
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 41 Conjugated double bond being most stable has the least heat of hydrogenation
Test: BITSAT Mock Test- 9 - Question 42
Complete combustion of 0.858 g of compound X gives 2.63 g of CO₂ and 1.28 g of H₂O. The lowest molecular mass X can have
Test: BITSAT Mock Test- 9 - Question 43
Which of the following does not show electromeric effect?
Test: BITSAT Mock Test- 9 - Question 44
A σ - bond is
Test: BITSAT Mock Test- 9 - Question 45
The enzyme pepsin hydrolyses
Test: BITSAT Mock Test- 9 - Question 46
The protein which maintains blood sugar level is
Test: BITSAT Mock Test- 9 - Question 47
Which of the following cannot convert carboxylic acid into its acyl chloride?
Test: BITSAT Mock Test- 9 - Question 48
The bonds in K4[Fe(CN)6] are
Test: BITSAT Mock Test- 9 - Question 49
When one mole of the gas is heated at constant volume ,temperature get raised from 298 K to 308 K.Heat supplied to the gas is 500 J.Then which among the following is a correct statements ?
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 49 As the gas is heated at constant volume. Therefore ΔV = 0, and W = 0 and at the same time q = ΔU
Test: BITSAT Mock Test- 9 - Question 50
The equilibrium constant in a reversible chemical reaction at a given temperature
Test: BITSAT Mock Test- 9 - Question 51
The rate constant is given by the equation K = P Ze(-E/RT). Which factor should register a decrease for the reaction to proceed more rapidly?
Test: BITSAT Mock Test- 9 - Question 52
The number of periods in the long form of periodic table is
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 52 Seven horizontal rows in the periodic table are called periods. These are numbered from 1 to 7.
Test: BITSAT Mock Test- 9 - Question 53

A Carnot engine, working between 500 K to 300 K has a work output of 800 J-cycle⁻1. What is the amount of heat energy supplied to the engine from the source per cycle?

Test: BITSAT Mock Test- 9 - Question 54
Which of the following is used as an antiseptic?
Test: BITSAT Mock Test- 9 - Question 55

Which of the following compounds shows optical isomerism?

Test: BITSAT Mock Test- 9 - Question 56
Which of the following is a synthetic element?
Test: BITSAT Mock Test- 9 - Question 57
Which of the following factors may be regarded as the main cause of lanthanide contraction?
Test: BITSAT Mock Test- 9 - Question 58
If specific conductance and conductance of a solution is same, then its cell constant is equal to
Test: BITSAT Mock Test- 9 - Question 59
Acidic hydrogens are present in
Test: BITSAT Mock Test- 9 - Question 60

Among the following compounds (I-III), the correct order in reaction with electrophile is

Test: BITSAT Mock Test- 9 - Question 61
A metal which does not liberate H₂(g) from acids is;
Test: BITSAT Mock Test- 9 - Question 62
Hydrogenation of the adjoining compound, in the presence of poisonous palladium, catalyst gives
Test: BITSAT Mock Test- 9 - Question 63
Phenolphthalein shows which of the following colour in acidic medium?
Test: BITSAT Mock Test- 9 - Question 64

In SN1 (Substitution, nucleophilic unimolecular) reaction, the racemization takes place. It is due to

Test: BITSAT Mock Test- 9 - Question 65
Sea divers go deep into the sea water with a mixture of which of the following gases?
Test: BITSAT Mock Test- 9 - Question 66

There is no S - S bonds in

Test: BITSAT Mock Test- 9 - Question 67
A metal X on heating in nitrogen gas gives Y, Y on treatment with H₂O gives a colourless gas which when passed through CuSO₄ soution gives a blue colour. Y is
Test: BITSAT Mock Test- 9 - Question 68

In graphite C atom is in..........state

Test: BITSAT Mock Test- 9 - Question 69
Which one of the following is not correct for N₂O?
Test: BITSAT Mock Test- 9 - Question 70
Polymers have
Test: BITSAT Mock Test- 9 - Question 71
The number of hydroxide ions produced by one molecule of Na2CO3 on hydrolysis
Test: BITSAT Mock Test- 9 - Question 72

The compound formed when gypsum is dissolved in aqueous ammonium sulphate solution

Test: BITSAT Mock Test- 9 - Question 73

The osmotic pressure of 5% (mass-volume) solution of cane sugar at 150oC (mol. mass of sugar = 342) is

Test: BITSAT Mock Test- 9 - Question 74
The temperature below which a gas does not exist is called its
Test: BITSAT Mock Test- 9 - Question 75

A metal oxide is reduced by heating it in a stream of hydrogen. It is found that after complete reduction, 3.15 g of the oxide has yielded 1.05 g of the metal. We may deduce that

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 75

Test: BITSAT Mock Test- 9 - Question 76
The bleeding on a wound is stopped by the application of ferric chloride due to
Test: BITSAT Mock Test- 9 - Question 77

The area bounded by the curve y = x3, the x-axis and the ordiantes at x = -2 and x = 1 is

Test: BITSAT Mock Test- 9 - Question 78

The equation of the circle whose centre is (3,-1) and cut the chord of length of 6 units from the line 2x-5y+18=0 is

Test: BITSAT Mock Test- 9 - Question 79

The locus of the centre of the circle which cuts circles x2+y2+2g₁x+2f₁y+c₁=0 and x2+y2+2g₂x+2f₂y+c₂=0 orthogonally, is

Test: BITSAT Mock Test- 9 - Question 80
If arg (z) = θ, then arg(z̅) =
Test: BITSAT Mock Test- 9 - Question 81

The differential equation for all family of lines which are at a unit distance from the origin is

Test: BITSAT Mock Test- 9 - Question 82

The order and degree of the differential equation d2y/dx2 + (dy/dx)1/3 + x1=0 are respectively

Test: BITSAT Mock Test- 9 - Question 83

The solution of differential equation (dy/dx)=[(x(2logx+1))/(siny+ycosy)] is

Test: BITSAT Mock Test- 9 - Question 84

If cos(x+y)=y sinx, (dy/dx)=

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 84

 

Test: BITSAT Mock Test- 9 - Question 85
If y = √(sin x + y), then dy/dx =
Test: BITSAT Mock Test- 9 - Question 86
The sum of the series 2/1! + 4/3! + 6/5! + .....∞ equals
Test: BITSAT Mock Test- 9 - Question 87

The angle of elevation of the sun, if the length of the shadow of a tower is √3 times the height of the tower, is

Test: BITSAT Mock Test- 9 - Question 88

The foci of the ellipse x2/16 + y2/b2 = 1 and the hyperbola x2/144 - y2/81 = 1/25 coincide, then the value of b2 is

Test: BITSAT Mock Test- 9 - Question 89

The area of the region bounded by the curve y = x - x2 between x = 0 and x = 1 is

Test: BITSAT Mock Test- 9 - Question 90
The order and degree of the differential equation (d4y/dx4) = y + (dy/dx)4 are respectively
Test: BITSAT Mock Test- 9 - Question 91

If sin⁻1x+sin⁻1y=(2π/3), then cos⁻1x+cos⁻1y=

Test: BITSAT Mock Test- 9 - Question 92

The domain of the function f(x) = √(2 - 2x - x2) is

Test: BITSAT Mock Test- 9 - Question 93
(1/1)+(1/(1+2))+(1/(1+2+3))+...up to (n+1) terms is equal to
Test: BITSAT Mock Test- 9 - Question 94
The equation
x + 2y + 3z = 1
x - y + 4z = 0
2x + y + 7z = 1 have
Test: BITSAT Mock Test- 9 - Question 95
If A is a singular matrix, then Adj A is
Test: BITSAT Mock Test- 9 - Question 96
A window of fixed perimeter (including the base of the arc) is in the form of a rectangle surmounted by a semi-circle. The semi-circular portion is fitted with coloured glass while the rectangular part is fitted with clear glass. The clear glass transmits three times as much light per square metre as the coloured glass does. The ratio of the sides of the rectangle so that the window transmits the maximum light is
Test: BITSAT Mock Test- 9 - Question 97

If angle between the lines 2x2+5xy+3y2+6x+7y+4=0 is tan⁻1m, the value of m is

Test: BITSAT Mock Test- 9 - Question 98

On the parabola y2 = 8 x if one extremity of a focal chord is 1 ∕ 2, − 2 then its other extremity is

Test: BITSAT Mock Test- 9 - Question 99

The parabola y2=x is symmetric about

Test: BITSAT Mock Test- 9 - Question 100
The number of 7 digit numbers which can be formed using the digits 1, 2, 3, 2, 3, 3, 4 is
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 100 There are 7 digits 1, 2, 3, 2, 3, 3, 4 in which 2 occurs 2 times and 3 occurs 3 times
Number of 7 digit numbers
= 7! 2! 3! = 420
Test: BITSAT Mock Test- 9 - Question 101

Everybody in a room shakes hands with every body else. The total number of hand shakes is 66. Then the number of persons in the room is

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 101

Test: BITSAT Mock Test- 9 - Question 102
A purse contains 4 copper coins and 3 silver coins, the second purse contains 6 copper coins and 2 silver coins. A coin is taken out from any purse. The probability that it is a copper coin is
Test: BITSAT Mock Test- 9 - Question 103
A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is 1/2, 1/3 and 1/4. Probability that the problem is solved is
Test: BITSAT Mock Test- 9 - Question 104

If in a ΔABC , 3a = b + c then tan B/2 • tan C/2 is equal to

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 104

 

Test: BITSAT Mock Test- 9 - Question 105

Test: BITSAT Mock Test- 9 - Question 106
Remainder of x64+x27+1 divided by x+1, is
Test: BITSAT Mock Test- 9 - Question 107

The coefficient of x3 in the expansion of (x/(ex - 1)) is

Test: BITSAT Mock Test- 9 - Question 108
If the third term of an A.P. is 12 and the seventh term is 24, then the 10th term is
Test: BITSAT Mock Test- 9 - Question 109
On the set Z of all integers define f : Z → Z as follows :
f (x) = {x/2 if x is even} {0 if x is odd}, then f is
Test: BITSAT Mock Test- 9 - Question 110
In Rule Method the null set is represented by
Test: BITSAT Mock Test- 9 - Question 111
For what value of a line x = 3, y = 4 and 4x - 3y + a = 0 are con-current.
Test: BITSAT Mock Test- 9 - Question 112

The angle between the curves x2 = 4y, y2 = 4x at (4, 4) is

Test: BITSAT Mock Test- 9 - Question 113
Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is
Test: BITSAT Mock Test- 9 - Question 114
If a line makes the angles α,β and γ with the axes respectively, then cos 2α+cos2β+cos 2γ
Test: BITSAT Mock Test- 9 - Question 115
The roots of the equation: 1-cosθ=sinθ.sin(θ/2) is
Test: BITSAT Mock Test- 9 - Question 116

If cotθ+tanθ=2cosecθ, the general value of θ is

Test: BITSAT Mock Test- 9 - Question 117

If a cos θ + b sin θ = c then a sin θ − b cos θ2=

Test: BITSAT Mock Test- 9 - Question 118
If vectors 2i+j+k and i-4j+λk are perpendicular, then λ=
Test: BITSAT Mock Test- 9 - Question 119

The vector equals

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 119

 

Test: BITSAT Mock Test- 9 - Question 120
Find the Antonym of the word occurring in the sentence in capital letter as per the context.
Because of the failure of the monsoon, there was PAUCITY of foodgrains.
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 120 Meaning of Paucity
Smallness of number; fewness
Scarcity; dearth
Synonyms : Scarcity, lack, shortage, rarity, insufficiency
Antonyms : abundance, affluence, plenty
Test: BITSAT Mock Test- 9 - Question 121
Find the Antonym of RISIBLE
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 121 Meaning of the word ‘Risible is fit to be laughed at. Hence ‘Serious’ is the most suitable antonym of the given word. However, grotesque means comically or repulsively ugly or distorted.
Test: BITSAT Mock Test- 9 - Question 122
Fill in the blank with appropriate word.
By this time next year Rajesh will ....... his University Degree in Marketing Management.
Test: BITSAT Mock Test- 9 - Question 123
Fill in the blank with appropriate word.
The chief guest's speech was so.........that I was all ears.
Test: BITSAT Mock Test- 9 - Question 124
Choose the one which can be substituted for the given words/sentences :
Prossessing unlimited powers
Test: BITSAT Mock Test- 9 - Question 125
Choose the one which can be substituted for the given words/sentences
A fixed orbit in space in relation to earth.
Test: BITSAT Mock Test- 9 - Question 126
Spot the error.
Test: BITSAT Mock Test- 9 - Question 127
Spot the error.
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 127 replace ‘in’ with ‘on’
Test: BITSAT Mock Test- 9 - Question 128
Spot the error.
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 128 The correct statement is 'their leaders seems to be in their elements'
Test: BITSAT Mock Test- 9 - Question 129
Find the Synonym of the word occurring in the sentence in capital letter as per the context.
The queen was aware of the INSOLENT behaviour of lords.
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 129 'Insolent' means rude and showing lack of respect
Test: BITSAT Mock Test- 9 - Question 130
Find the synonym of LATENT .
Test: BITSAT Mock Test- 9 - Question 131
Choose the word which is least like the other words in the group .
Detailed Solution for Test: BITSAT Mock Test- 9 - Question 131 All except Diagonal are terms associated with circle
Test: BITSAT Mock Test- 9 - Question 132
Complete the analogous pair.
Advance : Progress :: Grow : ?
Test: BITSAT Mock Test- 9 - Question 133

Group the following figures into three classes on the basis of identical properties.

Test: BITSAT Mock Test- 9 - Question 134

Find the missing character.

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 134

In the first column, 17-11=25-19=6.
In the second column, 12-6=34-28=6.
Let the missing number in the third column be x.
Then, x-8=19-11=8 or x=16.

Test: BITSAT Mock Test- 9 - Question 135
Find out the term in the number series which is wrong.
3, 2, 8, 9, 13, 22, 18, 32, 23, 42
Test: BITSAT Mock Test- 9 - Question 136

The ratio of energy of emitted radiation of a black body at 27oC and 927oC is

Test: BITSAT Mock Test- 9 - Question 137
In each question, three sequences of letters/numerals are given which correspond to each other. Find out the letters/numerals that come in vacant places.
A _ B A C _ D _ B C D C
_ 3 _ 2 _ 1 _ 4 ? ? ? ?
d c _ _ b a c b _ _ _ _
Test: BITSAT Mock Test- 9 - Question 138
If a piston is pushed rapidly into a container of gas, what will happen to the kinetic energy of the molecules of gas and to the temperature of the gas
Test: BITSAT Mock Test- 9 - Question 139
If the radius of a soap bubble is four times that of another, then the ratio of their pressures will be
Test: BITSAT Mock Test- 9 - Question 140
The focal lengths of the objective and eye lenses of a telescope are 200 cm and 5 cm respectively. The maximum power of the telescope will be
Test: BITSAT Mock Test- 9 - Question 141
If A is a singular matrix, then Adj A is
Test: BITSAT Mock Test- 9 - Question 142
If n = 4m + 3, m ∈ I, then i n is equal to