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Test: BITSAT Mock Test- 7 - Question 1

Test: BITSAT Mock Test- 7 - Question 2

Ionization potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. the spectral lines emitted by hydrogen atoms according to Bohr's theory will be

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 2

Test: BITSAT Mock Test- 7 - Question 4

Two coils are placed close to eachother. The mutual inductance of the pair of coils depends upon

Test: BITSAT Mock Test- 7 - Question 5

An infinite number of identical capacitors, each of capacitance 1 μ F, are connected as in the figure. The equivalent capacitance between 'A' and 'B' is

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 5

Test: BITSAT Mock Test- 7 - Question 6

Consider the following statements concerning electrons :(I) Electrons are universal constitutents of matter (II) J.J. Thomson received the very first Nobel Prize in Physics for discovering the electron (III) The mass of the electron is about 1/2000 of that of a neutron (IV) According to Bohr the linear momentum of the electron is quantised in the hydrogen atom. Which of the above statements are NOT correct ?

Test: BITSAT Mock Test- 7 - Question 7

A cell of emf E has a resistance R connected across it, and a voltmeter measures the potential difference across the terminals of the cell is V. The internal resistance of the cell is

Test: BITSAT Mock Test- 7 - Question 8

If work function of metal is 3 eV then threshold wavelength will be

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 8
Work function = hvoTherefore vo = WO/h = 3 x 1.602 x 10^-19 / 6.626 x 10^-34= 0.724 x 10^15/secThreshold Wavelength: λo =c/vo = 3x10^8 / 0.724 x 10^15 = 4.143 x 10^7 m

Test: BITSAT Mock Test- 7 - Question 10

If 4 * 10^{20} eV of energy is required to move a charge of 0•25 coluomb between two points, the p.d between them is

Test: BITSAT Mock Test- 7 - Question 11

On a rough horizontal surface, a body of mass 2 kg is given a velocity of 10 m/s. If the coefficient of friction is 0.2 and g=10 m/s^{2}, the body will stop after covering a distance of

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 11

Test: BITSAT Mock Test- 7 - Question 12

If acceleration due to gravity on the surface of a planet is two times that on surface of earth and its radius is double that of earth. Then escape velocity from the surface of that planet in comparison to earth will be

Test: BITSAT Mock Test- 7 - Question 13

If 10% of the current passes through a moving coil galvanometer of resistance 99 ohm, then the shunt resistance will be

Test: BITSAT Mock Test- 7 - Question 16

The temperature of a body falls from 50^{o}C to 40^{o}C in 10 minutes. If the temperature of the surroundings is 20^{o}C Then temperature of the body after another 10 minutes will be

Test: BITSAT Mock Test- 7 - Question 17

A river water is flowing at 0.5 m-s⁻^{1}. The shearing stress between horizontal layers at a distance of 10 cm of the river water is (Viscosity of water = 0.01 poise)

Test: BITSAT Mock Test- 7 - Question 18

If an air-bubble of radius 0.4 mm at a depth h in water having surface tension of 72*10⁻^{3} N-m⁻^{1} and density 1000 kg-m⁻^{3} is in equilibrium then, the value of h is (Take g=10 m-s⁻^{2})

Test: BITSAT Mock Test- 7 - Question 19

Which of the following affets the elasticity of a substance?

Test: BITSAT Mock Test- 7 - Question 20

A rocket is fired upward from the earth's surface such that it creates an acceleration of 19.6 m/sec^{2}. If after 5 sec its engine is switched off, the maximum height of the rocket from earth's surface would be

Test: BITSAT Mock Test- 7 - Question 21

A stone projected with a velocity u at an angle θ with the horizontal reaches maximum height H₁. When it is projected with velocity u at an angle (π/2 -θ) with the horizontal, it reaches maximum height H₂. The relation between the horizontal range R of the projectile, H₁ and H₂ is

Test: BITSAT Mock Test- 7 - Question 22

An impulse applied to a moving object with the force at an angle of 120 ^{o} with respect to the velocity vector. The angle between impulse vector and change in momentum vector is

Test: BITSAT Mock Test- 7 - Question 23

The horizontal range is four times the maximum height attained by a projectile. The angle of projection is

Test: BITSAT Mock Test- 7 - Question 24

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- 7 - Question 25

The length of a simple pendulum is increased by 1%. Its time period will

Test: BITSAT Mock Test- 7 - Question 26

A simple pendulum executing simple harmonic motion is falling freely along with the support. Then

Test: BITSAT Mock Test- 7 - Question 27

A body A of mass M while falling vertically downwards under gravity breaks into two parts, a part B of mass M/3 and body C of mass 2M/3. The centre of mass of the bodies B and C taken together

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 27
No horizontal external force is acting

∴ a_{cm} = 0

since v_{cm} = 0

∴ Δx_{cm} = 0

∴ a

since v

∴ Δx

Test: BITSAT Mock Test- 7 - Question 28

The moment of inertia of a thin uniform circular disc about one of the diameters is *I*. Its moment of inertia about an axis perpendicular to the circular surface and passing through the centre is

Test: BITSAT Mock Test- 7 - Question 29

Moment of inertia of a uniform horizontal solid cylinder of mass *M* about an axis passing through its edge and perpendicular to the axis of the cylinder when its length is 6 times its radius *'R'* is

Test: BITSAT Mock Test- 7 - Question 30

A point object O is placed at 15 cm in front of a glass rod having spherical end of radius of curvature 30 cm. The image would be formed at

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 30

Here, μ_{1} = 1, μ_{2} = 1.5, u = - 15 cm,

R = + 30 cm, v = ?

Refraction from rearer to denser medium,

Test: BITSAT Mock Test- 7 - Question 31

A fuse wire with radius 1 mm blows at 1.5 amp. The radius of the fuse wire of the same material to blow at 3A will be

Test: BITSAT Mock Test- 7 - Question 33

In which of the following systems of unit, Weber is the unit of magnetic flux.

Test: BITSAT Mock Test- 7 - Question 34

A reversible engine converts one-sixth of the heat into work. When temperature of sink is reduced by 62^{o}C, the efficiency of the engine is doubled. The temperature of source and sink are

Test: BITSAT Mock Test- 7 - Question 36

If the two slits in Young's experiment have width ratio 1:4, the ratio of intensity at maxima and minima in the interference pattern in

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 36

Test: BITSAT Mock Test- 7 - Question 37

A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance 1.21 Å between them. The wavelength of the standing wave is

Test: BITSAT Mock Test- 7 - Question 38

In a sinusoidal wave, the time required for a particular point to move from maximum displacement is 0.5 s. The frequency of wave is

Test: BITSAT Mock Test- 7 - Question 39

A stationary particle explodes into two particles of masses m₁ and m₂, which move in opposite directions, with velocities ν₁ and ν₂. The ratio of their kinetic energies (E₁/E₂) is

Test: BITSAT Mock Test- 7 - Question 40

A ball of mass 'm' moving with velocity 'V' collides with an identical ball at rest. After collision the first ball comes to rest. The speed of the other ball is

Test: BITSAT Mock Test- 7 - Question 41

Which of the following compounds does not react with metallic sodium?

Test: BITSAT Mock Test- 7 - Question 42

The organic compound which will answer the Fehling solution test is

Test: BITSAT Mock Test- 7 - Question 43

If r is the radius of first orbit, the radius of nth orbit of the H atom will be

Test: BITSAT Mock Test- 7 - Question 44

The no. of unpaired electrons in an element with electronic configuration 1s^{2},2s^{2},3p^{2} is

Test: BITSAT Mock Test- 7 - Question 45

Heterolytic fission of a covalent bond in organic molecules gives

Test: BITSAT Mock Test- 7 - Question 47

Which of the following does not have sp^{2}-hybridised carbon?

Test: BITSAT Mock Test- 7 - Question 49

The aldehyde which is formed during photosynthesis in plants is

Test: BITSAT Mock Test- 7 - Question 51

In a reaction involving ring substitution of C_{6}H_{5}Y, the major product is meta isomer. The group Y can be

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 51
Electron withdrawing groups favour meta substitution

- COOH group is metadirecting group

- COOH group is metadirecting group

Test: BITSAT Mock Test- 7 - Question 54

when a catalyst is added to a reversible reaction in equilibrium state, the value of equilibrium constant

Test: BITSAT Mock Test- 7 - Question 55

1 dm^{3} of 2 M CH₃COOH is mixed with 1 dm^{3} of 3 M ethanol to form ester. The decrease in the initial rate if each solution is diluted with an equal volume of water would be

Test: BITSAT Mock Test- 7 - Question 56

Which of the following has highest first ionization potential?

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 56

Nitrogen has highest first ionization potential. This is because N contains exactly half-filled p-orbitals which is extra stable. hence its first ionisation potential is high.

Electronic configuration of N:

Test: BITSAT Mock Test- 7 - Question 57

The densities of graphite and diamond at 298 K are 2.25 and 3.31 g-cm^{-3} respectively. If the standard free energy difference (ΔG^{o})is equal to 1895 J-mol^{-1}, then pressure at which graphite will be transformed into diamond at 298 K is

Test: BITSAT Mock Test- 7 - Question 59

Which of the following is an inner orbital complex as well as diamagnetic in behaviour?

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 59
Co^{3+} has 3d^{6} configuration and in the formation of the complex it assumes d^{2}sp^{3} hybrid state and is, therefore, inner orbital complex

Test: BITSAT Mock Test- 7 - Question 60

The aqueous solution containing which of the following ions will be colourless?

Test: BITSAT Mock Test- 7 - Question 62

The standard reduction potentials of 4 elements are given below.Which of the following will be the most suitable reducing agent?

I = -3.04 V, II = -1.90 V, III =0 V,IV = 1.90 V

I = -3.04 V, II = -1.90 V, III =0 V,IV = 1.90 V

Test: BITSAT Mock Test- 7 - Question 63

Of the five isomeric hexanes,the isomer which can give two monochlorinated compounds is

Test: BITSAT Mock Test- 7 - Question 64

A war gas Lewisite is formed by reaction of arsenic chloride with

Test: BITSAT Mock Test- 7 - Question 66

Silver nitrate solution is gradully added to an aqueous solution containing 0.01 M each of chloride ,bromide and iodide ions .The correct sequence in which the halides will be precipitated is

Test: BITSAT Mock Test- 7 - Question 70

Oxygen will directly react with each of the following elements except

Test: BITSAT Mock Test- 7 - Question 77

The vapour pressure of two liquids P ans Q are 80 and 60 torr, respectively. The total vapour pressure of solution obtained by mixing 3 moles of P and 2 moles of Q would be

Test: BITSAT Mock Test- 7 - Question 78

Select one correct statement. In the gas equation, PV = nRT

Test: BITSAT Mock Test- 7 - Question 79

Atomic weight of bromine is 80,0.1 mole of ethylene absorbs following gram of bromine

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 79

Test: BITSAT Mock Test- 7 - Question 80

Which of the following collodial solution used in photography?

Test: BITSAT Mock Test- 7 - Question 81

The area bounded by the x-axis and the curve y = 4x - x^{2} - 3, is

Test: BITSAT Mock Test- 7 - Question 82

The term independent of x in the expansion of [(x^{1/3}/2)+(x^{-1/5})]^{8} is

Test: BITSAT Mock Test- 7 - Question 83

The coordinates of a point from which tangents drawn to three circles x^{2}+y^{2}=1, x^{2}+y^{2}+8x+15=0, x^{2}+y^{2}+10y+24=0 are equal in length, are

Test: BITSAT Mock Test- 7 - Question 84

The number of common tangents to the circles x^{2} + y^{2} = 4 and x^{2} + y^{2} - 8x + 12 = 0 is

Test: BITSAT Mock Test- 7 - Question 86

The number of points at which the function f(x)=|x-0.5|+|x-1|+tanx is not differentiable in (0,2) is

Test: BITSAT Mock Test- 7 - Question 87

The differential equation of the family of curves y^{2}=4a (x+a) is

Test: BITSAT Mock Test- 7 - Question 88

The general solution of the differential equation dy/dx=y/x is

Test: BITSAT Mock Test- 7 - Question 89

y = Ae^{x} + Be^{2x} + Ce^{3 x}

satisfies the diferential equation

Test: BITSAT Mock Test- 7 - Question 92

The area of the region bounded by the curves y = |x-1| and y = 3-|x| is

Test: BITSAT Mock Test- 7 - Question 93

If f(x) = 0, when x is rational

x, when x is irrational,

g(x) = x, when x is rational

0, when x is irrational

then f - g is

x, when x is irrational,

g(x) = x, when x is rational

0, when x is irrational

then f - g is

Test: BITSAT Mock Test- 7 - Question 94

A house subtends a right angle on the window of its opposite house and the angle of elevation of the window from the foot of the former houses is 60^{o}. If the distance between houses is 6 metres, then the height of the former house is

Test: BITSAT Mock Test- 7 - Question 95

The product of the perpendicular, drawn from any point on a hyperbola to its asymptotes is

Test: BITSAT Mock Test- 7 - Question 96

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

Test: BITSAT Mock Test- 7 - Question 97

The slope of the tangent at (x, y) to a curve passing through (2, 1) is (x^{2} + y^{2})/2xy, then the equation of the curve is

Test: BITSAT Mock Test- 7 - Question 100

If each element of a 3 * 3 matrix is multiplie by 3, then the determinant of the newly formed matrix is

Test: BITSAT Mock Test- 7 - Question 101

If *x + y* = 12, then the minimum value of *x*^{2} + y^{2} is

Test: BITSAT Mock Test- 7 - Question 103

The angle between pair of lines represented by x^{2}+2xy-y^{2}=0 is

Test: BITSAT Mock Test- 7 - Question 104

If in a Binomial Distribution n = 4, P(X = 0) = 16/81, then P(X = 4)

Test: BITSAT Mock Test- 7 - Question 105

Two finite sets have m and n elements, the total number of subsets of the first set is 56 more than the total number of subsets of the second. The value of m and n are respectively

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 105

Let A denote the first set and B denote the second set

We have, n(A) = 2^{m} and n(B) = 2^{n}

As per the question, we have

n(A) = 56 + n(B)

⇒ n(A) - n(B) = 56

⇒ 2^{m} - 2^{n} = 56

⇒ 2^{n} (2^{m - n} - 1)

⇒ 2^{n} (2^{m - n} - 1) = 8 * 7

⇒ 2^{n} = 8 = 2^{3} or (2^{m - n} - 1) = 7

⇒ n = 3 or 2^{m - n} = 8 = 2^{3} = 2^{6 - 3}

⇒ n = 3 or m - n = 3

⇒ n = 3 or m = 6

Hence, the required values of m and n are 6 and 3 respectively

Test: BITSAT Mock Test- 7 - Question 106

The equation of the normal to the curve *x*^{2} = 4*y* at (1, 2) is

Test: BITSAT Mock Test- 7 - Question 107

The parabola (y + 1)^{2} = a x − 2 passes through the point 1, − 2 . The equation of its directrix is

Test: BITSAT Mock Test- 7 - Question 108

P,Q,R and S have to deliver lecture, then in how many ways can the lectures be arranged?

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 108
Total no. of ways delivering lectures = ^{4}P_{4} = 4! = 24

Test: BITSAT Mock Test- 7 - Question 109

A speaks truth in 75% cases and B speaks truth in 80% cases. The probability that they contradict each other in a statement is

Test: BITSAT Mock Test- 7 - Question 110

In Δ A B C , if the line joining the circumcentre 'O' and the incentre *I* is parallel to *BC* ,then cosB + cosC =

Test: BITSAT Mock Test- 7 - Question 111

If the roots of the equation 1/ x + p + 1/ x + q = 1/r are equal in magnitude but opposite in sign, then (p + q) equals

Test: BITSAT Mock Test- 7 - Question 113

The sum of first 24 terms of an A.P. a_{1}, a_{2}, a_{3}, .... ; if it is known that a_{1} + a_{5} + a_{10} + a_{15} + a_{20} + a_{24} = 225, is equal to

Test: BITSAT Mock Test- 7 - Question 114

If x, y, z are positive real numbers, then (x^{3}/z) < (x^{3} + y^{3} + z^{3})/(x + y + z) < (z^{3}/x) if

Test: BITSAT Mock Test- 7 - Question 115

The 6th term of a G.P. is 32 and its 8th term is 128 ; then the common ratio of the G.P. is

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 115

Test: BITSAT Mock Test- 7 - Question 116

The foot of perpendicular from (2,4) on the line x+y=1 is

Test: BITSAT Mock Test- 7 - Question 118

The two curves *x = y ^{2}, xy = a^{3}* cut arthogonally at a point, then

Test: BITSAT Mock Test- 7 - Question 119

The distance between the parallel planes x + 2y - 3z = 2 and 2x + 4y - 6z + 7 = 0 is

Test: BITSAT Mock Test- 7 - Question 120

The shortest distance between the lines (x - 1)/2 = (y - 2)/3 = (z - 3)/4 and (x - 2)/3 = (y - 4)/4 = (z - 5)/5 is

Test: BITSAT Mock Test- 7 - Question 122

If vectors (i+j+k),(5i+3j-3k) and (2i+5j+9k) are the position vectors of vertices of any triangle then its perimeter is

Test: BITSAT Mock Test- 7 - Question 123

Find the Antonym of the word occurring in the sentence in capital letter as per the context.

The criminal was known to the police by VARIOUS names.

The criminal was known to the police by VARIOUS names.

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 123
'Various' means several and different

Test: BITSAT Mock Test- 7 - Question 124

The sine of the angle between the vectors 3i+2j-k and 12i+5j-5k is

Test: BITSAT Mock Test- 7 - Question 125

The value of cos 12^{o}+cos 84^{o}+cos 156^{o}+cos 132^{o} is

Test: BITSAT Mock Test- 7 - Question 126

All the values of x satisfying sin 2 x + sin 4 x = 2 sin 3 x are

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 127
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- 7 - Question 128

Choose the one which can be substituted for the given words/sentences

The raison d' etre of a controversy is

The raison d' etre of a controversy is

Test: BITSAT Mock Test- 7 - Question 129

Fill in the blank with appropriate word.

Freedom and equality are the.....rights of every human being.

Freedom and equality are the.....rights of every human being.

Test: BITSAT Mock Test- 7 - Question 130

Choose the one which can be substituted for the given words/sentences

Study of birds

Study of birds

Test: BITSAT Mock Test- 7 - Question 131

Fill in the blank with appropriate word.

This is a.........translation of the speech.

This is a.........translation of the speech.

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 132
correct form is leading the blind instead of leading the blinds

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 133
The correct statement would be 'besides your profession'

Test: BITSAT Mock Test- 7 - Question 134

Find the Synonym of the word occurring in the sentence in capital letter as per the context.

Valiant Vicky used to BOAST of his bravery to his beloved wife.

Valiant Vicky used to BOAST of his bravery to his beloved wife.

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 134
Meaning of BOAST

To speak of (one's own achievements, possessions, etc) arrogantly adding things that may be false

Brag is also similar in meaning it is also speaking boastfully

Sentence is about the boastful nature of Vicky about is bravery

To speak of (one's own achievements, possessions, etc) arrogantly adding things that may be false

Brag is also similar in meaning it is also speaking boastfully

Sentence is about the boastful nature of Vicky about is bravery

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 135
The correct statement is 'oil has been'

Test: BITSAT Mock Test- 7 - Question 136

Find the Synonym of the word occurring in the sentence in capital letter as per the context.

His ALLEGIANCE to the party was suspected from the very beginning.

His ALLEGIANCE to the party was suspected from the very beginning.

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 136
'Allegiance' means continued support for somebody

Test: BITSAT Mock Test- 7 - Question 137

Complete the analogous pair.

Men : Messers :: ? : Women

Men : Messers :: ? : Women

Test: BITSAT Mock Test- 7 - Question 138

Choose the word that does NOT match with the two given words.

Querulous : Peevish

Querulous : Peevish

Test: BITSAT Mock Test- 7 - Question 139

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

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 139

1,6,9, are all triangles.

3,4,7, are all four-sided figures.

2,5,8 are all five-sided figures.

Test: BITSAT Mock Test- 7 - Question 140

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.

C _ B _ D _ A _ B B D D

2 _ _ 4 _ 3 4 _ ? ? ? ?

_ a _ c b a _ d _ _ _ _

C _ B _ D _ A _ B B D D

2 _ _ 4 _ 3 4 _ ? ? ? ?

_ a _ c b a _ d _ _ _ _

Test: BITSAT Mock Test- 7 - Question 141

Find out the term in the number series which is wrong.

5, 27, 61, 122, 213, 340, 509

5, 27, 61, 122, 213, 340, 509

Detailed Solution for Test: BITSAT Mock Test- 7 - Question 141
The terms of the series are (2^{3} - 3), (3^{3} - 3), (4^{3} - 3), (5^{3} - 3), (6^{3} - 3), (7^{3} - 3), (8^{3} -3).

So, 27 is wrong and must be replaced (3^{3} - 3) i.e. 24

So, 27 is wrong and must be replaced (3