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Test: BITSAT Mock Test- 10 - Question 1

Detailed Solution for Test: BITSAT Mock Test- 10 - Question 1
Electric power is transferred at high potential because to minimize power losses as:According to Joule’s first law electrical current passing through a conductor generates heat with power proportional to conductor’s electrical resistance and square of the current:P ~ I^2 x RSo in order to minimize this power, which would otherwise be lost to warming up the atmosphere, it is needed to reduce the current. In order to still transmit the same power to the destination with lower current we need to increase the voltage as evident from the electrical power equation:P = V x IThat is if it is needed to keep the power (P) the same, but lower the current (I) we have to proportionally increase voltage (V).

Test: BITSAT Mock Test- 10 - Question 2

The ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectra is

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Test: BITSAT Mock Test- 10 - Question 3

Test: BITSAT Mock Test- 10 - Question 4

An ammeter reads upto 1 ampere. Its internal resistance is 0.81 ohm. To increase the range to 10 A the value of the required shunt is

Test: BITSAT Mock Test- 10 - Question 5

A 220 V, 1000 W bulb is connected across a 110 V mains supply. The power consumed will be

Test: BITSAT Mock Test- 10 - Question 6

Energy of photon whose frequency is 10^{12}MHz, will be

Test: BITSAT Mock Test- 10 - Question 7

A photo cell is illuminated by a source of light which is placed at a distance d from cell. If distance becomes d/2, then number of electrons emitted per second will

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Test: BITSAT Mock Test- 10 - Question 8

When the no. of turns in a coil is triplled, without any change in the length of coil, its self-inductance becomes

Test: BITSAT Mock Test- 10 - Question 9

Three point charges -q, Q and -q are placed at equal distances on a straight line. If total potential energy of the system is zero, then the ratio of Q/q is

Test: BITSAT Mock Test- 10 - Question 10

Three capacitors of capacitances 1 μF, 2 μF and 4 μF are connected first in a series combination, and then in a parallel combination. The ratio of their equivalent capacitances will be

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Test: BITSAT Mock Test- 10 - 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

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Test: BITSAT Mock Test- 10 - Question 13

A black body radiates 20 W at temperature 227^{o}C. If temperature of the black body is changed to 727^{o}C then its radiating power will be

Test: BITSAT Mock Test- 10 - Question 14

For one gram mol of gas, the value of R in the equation PV= RT is nearly

Test: BITSAT Mock Test- 10 - Question 16

Work done in turning a magnet of magnetic moment M by an angle of 90^{o} from the magnetic meridian is n times the corresponding work done to turn through an angle of 60^{o}, where n is

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Test: BITSAT Mock Test- 10 - Question 17

Oil spreads over the surface of water, whereas water does not spread over the surface of oil, because

Test: BITSAT Mock Test- 10 - Question 18

The surface tension of a liquid decreases with rise in

Test: BITSAT Mock Test- 10 - Question 20

Four persons K,L,M and N are initially at the corners of a square of side of length d. If every person starts moving. such that K is always headed towards L,L towards M.M is headed directly towards N and N towards K, then the four persons will meet after

Test: BITSAT Mock Test- 10 - Question 21

A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is

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Test: BITSAT Mock Test- 10 - Question 22

The parametric equations of a curve traced by a projectile on a certain planet with no surrounding are given by :y = (8t-5t^{2}) metre and x = 6t metre, where t is in seconds. The velocity with which the projectile is projected, is

Test: BITSAT Mock Test- 10 - Question 23

A man is standing on a weighing machine placed in a lift. When stationary his weight is recorded as 40 kg. If the lift is accelerated upwards with an acceleration of 2 m/s^{2}, then the weight recorded in the machine will be (g=10m/s^{2})

Test: BITSAT Mock Test- 10 - Question 24

To increase both the resolving power and magnifying power of a telescope

Test: BITSAT Mock Test- 10 - Question 25

A particle is viberating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and kinetic ?

Test: BITSAT Mock Test- 10 - Question 26

Two masses m₁ and m₂ are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m₁ is removed without disturbing the system, then the angular velocity of oscillation of m₂ is

Test: BITSAT Mock Test- 10 - Question 27

In a spectrometer experiment three prisms *A*, *B*, *C* with same angle of prism but of different materials of refractive indices μ A = 1.33 , μ B = 1.55 and μ C = 1.44 are used. The corresponding angles of minimum deviation D A , D B , D C measured will be such that

Test: BITSAT Mock Test- 10 - Question 28

A circular disc is to be made by using iron aluminium, so that it acquires maximum moment of inertia about its geometrical axis. It can be obtained with

Test: BITSAT Mock Test- 10 - Question 29

The linear acceleration of centre of gravity of a ball which rolls down without slipping over an inclined plane with an angle of inclination of 30^{o} will be

Test: BITSAT Mock Test- 10 - Question 30

A meter stick is held vertically with one end on the floor and is then allowed to fall. If the end touching the floor is not allowed to slip, the other end will hit the ground with a velocity of (g = 9.8 m/s^{2})

Detailed Solution for Test: BITSAT Mock Test- 10 - Question 30

C. G. of the metre scale is at its midpoint P.E. of stick is converted into rotational K. E. Thus

Test: BITSAT Mock Test- 10 - Question 32

When a copper voltmeter is connected with a battery of e.m.f. 12 V, 2 g of copper is deposited in 30 min. If the same voltameter is connected across a 6 V bettery, then mass of copper deposited in 45 min would be

Test: BITSAT Mock Test- 10 - Question 33

The internal energy change in a system that has absorbed 2 KCals of heat and done 500 J of work is:

Test: BITSAT Mock Test- 10 - Question 34

In planetary motion the areal velocity of position vector of a planet depends on angular velocity ′ ω ′ and the distance of the planet from sun *(r)*. If so the correct relation for areal velocity is

Test: BITSAT Mock Test- 10 - Question 35

Which of the following phenomena establish the wave nature of light?

Test: BITSAT Mock Test- 10 - Question 37

A stretched string of length l, fixed at both ends can sustain stationary waves of wavelength λ, given by

Test: BITSAT Mock Test- 10 - Question 38

Two wires are fixed in a sonometer. Their tensions are in the ratio 8:1. The lengths are in the ratio 36 : 35. The diameters are in the ratio 4:1. Densities of the mateirals are in the ratio 1:2. If the higher frequency in the setting is 360 Hz. the beat frequency when the two wires are sounded together is

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Test: BITSAT Mock Test- 10 - Question 39

A body of mass 6 kg is under a force which causes displacement in it given by S = t ^{2}/4 metres where *t* is time. The work done by the force in 2 seconds is

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Test: BITSAT Mock Test- 10 - Question 40

A machine, which is 75% efficient, uses 12 J of energy in lifting up a 1 kg mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall is (in m/s)

Test: BITSAT Mock Test- 10 - Question 41

An organic compound A reacts with methyl magnesium iodide to form an addition product which on hydrolysis forms the compound B. Compound B gives blue colour salt in Victor Meyer's test. The compounds A and B are respectively

Test: BITSAT Mock Test- 10 - Question 42

Aldehydes and ketones will not form crystalline derivatives with

Test: BITSAT Mock Test- 10 - Question 43

The first use of quantum theory to explain the structure of atom, was given by

Test: BITSAT Mock Test- 10 - Question 46

The ratio of the molar amounts of H₂S needed to precipitate the metal ions from 20 mL each of 1M Cd(NO₃)₂ and 0.5 M CuSO₄ is

Detailed Solution for Test: BITSAT Mock Test- 10 - Question 46
As Cd^{2+} and Cu^{2+}, both are dipositive ions but Cu^{2+} has one half of the concentration compared to that of the Cd^{2+}. Thus, the molar amount of the H_{2}S used to precipitate the metals ions Cd^{2+} and Cu^{2+} is 2 : 1.

Test: BITSAT Mock Test- 10 - Question 47

which of the following hybridisation occurs in the formation of methane molecule?

Test: BITSAT Mock Test- 10 - Question 49

The segment of DNA which acts as the instructional manual for the synthesis of the protein is

Test: BITSAT Mock Test- 10 - Question 53

What is the entropy change (in JK⁻^{1} mol⁻^{1}) When one mol of ice is converted into water at 0^{o}C. The enthalpy change for the conversion of ice to liquid water is 6.0 KJ mol⁻^{1} at )0^{o}C.

Test: BITSAT Mock Test- 10 - Question 54

1 mole of hydrogen and 2 moles of iodine are taken initially in a 2 litre vessel. The number of moles of hydrogen at equilibrium is 0.2. Then the number of moles of iodine and hydrogen iodide at equilibrium are

Test: BITSAT Mock Test- 10 - Question 55

The activation energy of a reaction can be determined by

Test: BITSAT Mock Test- 10 - Question 56

As per the modern periodic law the physical and chemical properties of elements are periodic function of their

Detailed Solution for Test: BITSAT Mock Test- 10 - Question 56
Modern periodic law states " If the elements are arranged in order of their increasing atomic numbers, the elements with similar properties are repeated after certain regular intervals.

Test: BITSAT Mock Test- 10 - Question 57

The heat of formation of the compound in the following reaction is H₂(g) + Cl₂(g) → 2HCl(g) + 44 kcal

Test: BITSAT Mock Test- 10 - Question 58

Which of the following could act as a propellant for rockets?

Test: BITSAT Mock Test- 10 - Question 61

Which lanthanide compound, after dissolving in selenium oxychloride, is used as a powerful liquid lasers?

Test: BITSAT Mock Test- 10 - Question 62

A certain quantity of elecricity is passed through an aqueous solutions of *AgNO*_{3} and *CuSO*_{4} connected in series. The amount of silver (at wt. = 108) deposited at the cathode is 1.08 *gram*. The amount of copper (at wt. = 63.54) deposited is

Test: BITSAT Mock Test- 10 - Question 63

In which of the following molecules hydrogen is more acidic?

Test: BITSAT Mock Test- 10 - Question 64

Which of these does not follow Anti-Markownikoff's rule?

Test: BITSAT Mock Test- 10 - Question 65

What is formed when calcium carbide reacts with heavy water?

Test: BITSAT Mock Test- 10 - Question 68

Formaldehyde gives an additive product with methyl magnesium iodide which on aqueous hydrolysis gives

Test: BITSAT Mock Test- 10 - Question 69

Which of the following has the highest calorific value?

Test: BITSAT Mock Test- 10 - Question 70

If HNO₃ changes into N₂O, the oxidation number is changed by

Test: BITSAT Mock Test- 10 - Question 72

Identify the statement that is not correct as far as structure of diborane is concerned

Test: BITSAT Mock Test- 10 - Question 73

H₂S gas when passed through a solution of cations containing HCl precipitates the cations of second Group of qualitative analysis, but not those belonging to fourth Group. It is because

Test: BITSAT Mock Test- 10 - Question 77

Vapour pressure of CCl₄ at 25^{o}C is 143 mm Hg. 0.5 gm of a non-volatile solute (mol.wt.65) is dissolved in 100 ml of CCl₄. Find the vapour pressure of the solution . (Density of CCl₄=1.58 g/cm^{3}).

Test: BITSAT Mock Test- 10 - Question 78

50 ml of a gas A diffuse through a membrane in the same time as for the diffusion of 40 ml of a gas B under identical pressure temperature conditions. If the molecular weight of A = 4, that of B would be

Test: BITSAT Mock Test- 10 - Question 79

When 10 g of 90% pure limestone is heated completely, the volume (in litres) of carbon dioxide liberated at STP is

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Test: BITSAT Mock Test- 10 - Question 81

The are bounded by the curve with *x*-axis and the ordinates at *x = 2* and *x = 4* is

Test: BITSAT Mock Test- 10 - Question 82

If the coefficient of x^{7} and x^{8} in [2+(x/3)]^{n} are equal, then n is

Test: BITSAT Mock Test- 10 - Question 83

The centre and radius of the circle with the segment of the line *x+y=1* cut of by the coordinate axes as diameter are

Test: BITSAT Mock Test- 10 - Question 84

If two distinct chords, drawn from the point *(p,q)* on the circle *x*^{2} + y^{2} - px - qy = 0 (where $pq\ne 0$) are bisected by the *x*-axis, then

Test: BITSAT Mock Test- 10 - Question 85

The value of (1 - ω + ω^{2})(1 - ω^{2} + ω^{6}), where ω,ω^{2} are cube roots of unity ,is

Test: BITSAT Mock Test- 10 - Question 86

The differential equation of family of lines which passes (1,-1) is

Test: BITSAT Mock Test- 10 - Question 87

The degree of the differential equation d^{2}y/dx^{2}+(dy/dx)^{3}+6y=0 is

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Test: BITSAT Mock Test- 10 - Question 89

Differential of log_{(1-√x)}sin⁻^{1}(1-√x) w.r.t. 2^{2(1-√x)} at x=(1/4) is equal to

Test: BITSAT Mock Test- 10 - Question 91

The sum of (1^{2}.2)/1! + (2^{2}.3)/2! + (3^{2}.4)/3! + (4^{2}.5)/4! + ..... will be

Test: BITSAT Mock Test- 10 - Question 92

From the top of a building of height h metres, the angle of depression of an object on the ground is α. The distance (in metres) of the object from the foot of the building is

Test: BITSAT Mock Test- 10 - Question 93

Equation of the tangent to the hyperbola 2x^{2} - 3y^{2} = 6 which is parallel to the line y = 3x + 4 is

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Test: BITSAT Mock Test- 10 - Question 94

The area bounded by the curve

x = at^{2}, y = 2at and the X-axis is 1 ≤ t ≤ 3 is

Test: BITSAT Mock Test- 10 - Question 95

The area bounded by the curve y^{2} = 9x and the lines x = 1, x = 4 and y = 0 in the first quadrant is

Test: BITSAT Mock Test- 10 - Question 98

If S_{n} = 1^{3} + 2^{3} + … + n3 and T_{n} = 1 + 2 + … + n then

Test: BITSAT Mock Test- 10 - Question 99

The equation

x + 2y + 3z = 1

x - y + 4z = 0

2x + y + 7z = 1 have

x + 2y + 3z = 1

x - y + 4z = 0

2x + y + 7z = 1 have

Test: BITSAT Mock Test- 10 - Question 100

If A and B are square matrices of order 3 such that ∣A∣ = -1, ∣B∣ = 3, then the determinant of 3 AB is equal to

Test: BITSAT Mock Test- 10 - Question 101

For all real x, the minimum value of [(1-x+x^{2})/(1+x+x^{2})] is

Test: BITSAT Mock Test- 10 - Question 102

Which of the following are correct for any two complex numbers z₁ and z₂ ?

Test: BITSAT Mock Test- 10 - Question 103

If bisectors of lines x^{2} - 2pxy - y^{2} = 0 is x^{2} - 2qxy - y^{2}, then

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Test: BITSAT Mock Test- 10 - Question 105

The equation of the tangent to the parabola y^{2}=16x which is ⊥ to the line y=3x+7 is

Test: BITSAT Mock Test- 10 - Question 107

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of there parallel lines is :

Test: BITSAT Mock Test- 10 - Question 108

A box contains 10 good articles and 6 with defects. One item is drawn at random. The probability that it is either good or has a defect is

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Test: BITSAT Mock Test- 10 - Question 109

A sum of money is rounded off to the nearest rupee. The probability that round off error is at least ten paise is

Test: BITSAT Mock Test- 10 - Question 112

If one root of the equation x^{2} = px + q is reciprocal of the other, then the correct relationshup is :

Test: BITSAT Mock Test- 10 - Question 113

The fourth, seventh and tenth terms of a G.P. are p, q and r respectively, then

Test: BITSAT Mock Test- 10 - Question 114

The fourth ,seventh and tenth of a G.P. are p,q,r respectively then

Test: BITSAT Mock Test- 10 - Question 115

The range of the function f (x) = cos [x], where (- π/2) < x < ( π/2), is

Test: BITSAT Mock Test- 10 - Question 116

If A = [a,b], B = [c,d], C = [d,e] then {(a,c), (a,d),(a,e),(b,c),(b,d),(b,e)} is equal to

Test: BITSAT Mock Test- 10 - Question 117

The equation of a line which is passing through (-3,2) and cuts intercepts on axes of opposite signs, is

Test: BITSAT Mock Test- 10 - Question 118

The point on the curve where the normal to the curve 9y^{2} = x^{3} makes equal intercepts with the axes is

Test: BITSAT Mock Test- 10 - Question 119

The direction ratios of the line which is perpendicular to the lines (x - 7)/2 = (y + 17)/-3 = (z - 6)/1 and (x + 5)/1 = (y + 3)/2 = (z - 4)/-2 are

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Test: BITSAT Mock Test- 10 - Question 120

The projections of a line segment on the coordinate are 12, 4 and 3 respectively. The length of the line segment is

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Test: BITSAT Mock Test- 10 - Question 121

The smallest values of θ satisfying the equation √3 cot θ + tan θ = 4 is

Test: BITSAT Mock Test- 10 - Question 124

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