Test: BITSAT Past Year Paper- 2012

A horizontal overhead powerline is at height of 4m from the ground and carries a current of 100A from east to west. The magnetic field directly below it on the ground is (μ₀ = 4π × 10^–7 Tm A^–1)

A man of mass 100 kg. is standing on a platform of mass 200 kg. which is kept on a smooth ice surface. If the man starts moving on the platform with a speed 30 m/sec relative to the platform then calculate with what velocity relative to the ice the platform will recoil?

If the unit of force and length be each increased by four times, then the unit of energy is increased by

Which of the following must be known in order to determine the power output of an automobile?

If the force is given by F = at + bt² with t as time. The dimensions of a and b are

A wheel of radius R rolls on the ground with a uniform velocity v. The relative acceleration of topmost point of the wheel with respect to the bottom most point is

If the radius of the earth were to shrink by one per cent, its mass remaining the same, the value of g on the earth’s surface would

The Young’s modulus of a perfectly rigid body is

An ice block floats in a liquid whose density is less than water. A part of block is outside the liquid. When whole of ice has melted, the liquid level will

A large drop of oil (density 0.8 g/cm³ and viscosity η₀) floats up through a column of another liquid (density 1.2 g/cm³ and viscosity η_L).
Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on:

A solid body of constant heat capacity 1 J/°C is being heated by keeping it in contact with reservoirs in two ways:
(i) Sequen tially keepin g in con tact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequen tially keepin g in con tact with 8 reservoirs such that each reservoir supplies same amount of heat.
In both the cases body is brought from initial temperature 100°C to final temperature 200°C.
Entropy change of the body in the two cases respectively is :

Which of the following process is possible according to the first law of thermodynamics?

For an isothermal expansion of a perfect gas, the value of ΔP/P is equal to

A sample of ideal monoatomic gas is taken round the cycle ABCA as shown in the figure. The work done during the cycle is

The average translational kinetic energy of O₂ (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of N₂ (molar mass 28) molecules in eV at the same temperature is

For a gas if ratio of specific heats at constant pressure and volume is γ then value of degrees of freedom is

One end of a long metallic wire of length L tied to the ceiling. The other end is tied with a massless spring of spring constant K. A mass hangs freely from the free end of the spring. The area of cross section and the young’s modulus of the wire are A and Y respectively. If the mass slightly pulled down and released, it will oscillate with a time period T equal to :

The transverse displacement y(x, t) of a wave on a string is given by

This represents a

A sound source is moving towards stationary listener with 1/10th of the speed of sound. The ratio of apparent to read frequency is

In a region of space having a uniform electric field E, a hemispherical bowl of radius r is placed.The electric flux ϕ through the bowl is

The electric field intensity just sufficient to balance the earth’s gravitational attraction on an electron will be: (given mass and charge of an electron respectively are 9.1 × 10^–31 kg and 1.6 × 10^–19 C.)

Two capacitors C₁ and C₂ are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then

Three voltmeters A, B and C having resistances R, 1.5 R and 3R, respectively, are connected as shown. When some potential difference is applied between X and Y, the voltmeter readings are V_A, V_B and V_C respectively. Then –

The range of the particle when launched at an angle of 15º with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of 45º to the horizontal.

If m is magnetic moment and B is the magnetic field, then the torque is given by

Magnetic moment of bar magnet is M. The work done to turn the magnet by 90° of magnet in direction of magnetic field B will be

The laws of electromagnetic induction have been used in the construction of a

The impedance of a circuit consists of 3 Ω resistance and 4Ω reactance. The power factor of the circuit is

The r.m.s. value of potential difference V shown in the figure is

A ray of light is incident at the glass-water interface at an angle i, it emerges finally parallel to the surface of water, then the value of μ_g would be

A mica slit of thickness t and refractive index µ is introduced in the ray from the first source S₁. By how much distance of fringes pattern will be displaced?

In a Young’s double slit experiment the angular width of a fringe formed on a distant screen is 1°. The wavelength fo the light used is 6280 Å. What is the distance between the two coherent sources?

A light having wavelength 300 nm fall on a metal surface. The work function of metal is 2.54 eV, what is stopping potential ?

If the total binding energies of  nuclei are 2.22, 28.3, 492 and 1786 MeV respectively, identify the most stable nucleus of the following.

An oscillator is nothing but an amplifier with

In an experiment on photoelectric effect photons of wavelength 300 nm eject electrons from a metal of work function 2.25eV. A photon of energy equal to that of the most energetic electron corresponds to the following transition in the hydrogen atom:

A letter 'A' is constructed of a uniform wire with resistance 1.0 Ω per cm, The sides of the letter are 20 cm and the cross piece in the middle is 10 cm long. The apex angle is 60. The resistance between the  ends of the legs is close to:

Number of atoms of He in 100 amu of He (atomic wt. of He is 4) are :

If the radius of H is 0.53 Å, then what will be the radius of ₃Li²⁺ ?

Which of the following does not have valence electron in 3d-subshell?

The vapour pressure of

due to

An ideal gas can’t be liquefied because

In which of the following reactions, standard entropy change (ΔS°) is positive and standard Gibb’s energy change (ΔG°) decreases sharply with increasing temperature ?

Bond enthalpies of H₂, X₂ and HX are in the ratio 2 : 1 : 2. If enthalpy of formation of HX is –50 kJ mol^–1, the bond enthalpy of X₂ is

The pOH value of a solution whose hydroxide ion concentration is 6.2 × 10^–9 mol/litre is

Which of the following combinations would not result in the formation of a buffer solution?

The reaction, SO₂ + Cl₂ → SO₂Cl₂ is exothermic and reversible. A mixture of SO₂ (g), Cl₂ (g) and SO₂Cl₂ (l) is at equilibrium in a closed container. Now a certain quantity of extra SO₂ is introduced into the container, the volume remaining the same. Which of the following is/ are true?

In the reaction

The boiling point of water is exceptionally high because

Which of the following has correct increasing basic strength?

The following two compounds are

In paper chromatography :

In which case the NO₂ will attack at the meta position

Which alkene on ozonolysis gives CH₃CH₂CHO and 

Formation of ozone in the upper atmosphere from oxygen takes place by the action of

CO₂ goes to air, causes green house effect and gets dissolved in water. What will be the effect on soil fertility and pH of the water?

The van’t Hoff factor i for an electrolyte which undergoes dissociation and association in solvents are respectively

If the elevation in boiling point of a solution of 10 g of solute (mol. wt. = 100) in 100 g of water is ΔTb, the ebullioscopic constant of water is

The ionic conductance of Ba²⁺ and Cl^– respectively are 127 and 76Ω^–1cm² at infinite dilution.The equivalent conductance of BaCl₂ at infinite dilution will be

2N₂O₅ ⇌ 4NO₂ + O₂
If rate and rate constant for above reaction are 2.40 × 10^–5 mol L^–1 s^–1 and 3 × 10^–5 s^–1 respectively, then calculate the concentration of N₂O₅.

Which of the following gas molecules have maximum value of enthalpy of physisorption?

Which of the following will be the most effective in the coagulation of Fe(OH)₃ soil?

When chlorine water is exposed to sunlight, O₂ is liberated. Hence,

An extremely hot copper wire reacts with steam to give

Among the following the lowest degree of paramagnetism per mole of the compound at 298 K will be shown by

The following reaction is known as

Which of the following is process used for the preparation of acetone?

The preparation of ethyl acetoacetate involves:

Which one of the following pairs is not correctly matched?

Identify ‘C’ in the following reaction:

The helical structure of protein is stabilised by

Complete hydrolysis of cellulose gives

Alizarin is an example of

2,4-Dichlorophenoxyacetic add is used as

0.45 g of acid  molecular weight 90 is neutralised by 20 ml of 0.5N caustic potash. The basicity of acid is

In the reaction of KMnO₄ with an oxalate in acidic medium, MnO^-₄ is reduced to Mn²⁺ and  is oxidised to CO₂. Hence, 50 mL of 0.02 M KMnO₄ is equivalent to

Which of the following is soluble in yellow ammonium sulphide?

Direction: In the following questions choose the word opposite in meaning to the given word.

Florid

Direction: In the following questions choose the word opposite in meaning to the given word.

Verity 

Direction: In the following questions choose the word opposite in meaning to the given word.

Perspicuity

Direction: In question  out of the four alternative, choose the one which best expresses the meaning of the given word.

Disgrace

Direction: In question  out of the four alternative, choose the one which best expresses the meaning of the given word.

Striking 

Direction: In question  out of the four alternative, choose the one which best expresses the meaning of the given word.

Fiasco

Direction: In the following questions a part of the sentence is bold. Below are given alternatives to the Underline part at (a), (b) and (c) which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (d).

Q. Power got with money is the most craved for today.

Direction: In the following questions a part of the sentence is bold. Below are given alternatives to the Underline part at (a), (b) and (c) which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (d).

Q. You are asked to copy this letter word by word.

Direction: Sentences are given with blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four:

Q. Let us quickly __________.

Direction: Sentences are given with blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four:

Q. Rajesh’s car wasn’t __________ Ramesh’s, so we were too exhausted by the time we reached home.

Direction: In the following questions, the 1st and the last sentences of the passage are numbered 1 and 6. The rest of the passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence and find out which of the four combinations is correct. Then find the correct answer.

1. The most vulnerable section of the society are the students.
P. Revolutionary and new fledged ideas have a great appeal to them.
Q. Agitations may be non-violent methods of protest.
R. They cannot resist the charm of persuasion.
S. They are to be taught that without discipline they cannot get proper education.
6. However if th ese become violent , the antisocial elements get encouraged and they put all proper working out of gear.

Direction: In the following questions, the 1st and the last sentences of the passage are numbered 1 and 6. The rest of the passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence and find out which of the four combinations is correct. Then find the correct answer.

1. Venice is a strange city.
P. There are about 400 odd bridges connecting the islands of Venice.
Q. There are no motor cars, no horses and no buses there.
R. Th ese small islands ar e close to on e another.
S. It is not one island but a hundred islands.
6. This is because Venice has no streets.

The World health Organisation is briefly called W.H.O. It is a specialised agency of the United Nations and was established in 1948.
International health workers can be seen working in all kinds of surroundings in deserts, jungles, mountains, coconut groves, and rice fields. They help the sick to attain health and the healthy to maintain their health.
This global health team assists the local health workers in stopping the spread of what are called communicable diseases, like cholera. These diseases can spread from one country to another and so can be a threat to world health.
W.H.O. assists different national health authorities not only in controlling diseases but also in preventing them altogether. Total prevention of diseases is possible in a number so ways. Everyone knows how people, particularly children, are vaccinated against one disease or another. Similarly, most people are familiar with the spraying of houses with poisonous substances which kill disease-carrying insects.

Q. "It is a specialised agency of the United Nations and was established in 1948". Here specialised means :

The World health Organisation is briefly called W.H.O. It is a specialised agency of the United Nations and was established in 1948.
International health workers can be seen working in all kinds of surroundings in deserts, jungles, mountains, coconut groves, and rice fields. They help the sick to attain health and the healthy to maintain their health.
This global health team assists the local health workers in stopping the spread of what are called communicable diseases, like cholera. These diseases can spread from one country to another and so can be a threat to world health.
W.H.O. assists different national health authorities not only in controlling diseases but also in preventing them altogether. Total prevention of diseases is possible in a number so ways. Everyone knows how people, particularly children, are vaccinated against one disease or another. Similarly, most people are familiar with the spraying of houses with poisonous substances which kill disease-carrying insects.

Q. "International health workers can be seen working in all kinds of surroundings: in deserts, jungles, mountains, coconout groves, and rice fields". Here International means

The World health Organisation is briefly called W.H.O. It is a specialised agency of the United Nations and was established in 1948.
International health workers can be seen working in all kinds of surroundings in deserts, jungles, mountains, coconut groves, and rice fields. They help the sick to attain health and the healthy to maintain their health.
This global health team assists the local health workers in stopping the spread of what are called communicable diseases, like cholera. These diseases can spread from one country to another and so can be a threat to world health.
W.H.O. assists different national health authorities not only in controlling diseases but also in preventing them altogether. Total prevention of diseases is possible in a number so ways. Everyone knows how people, particularly children, are vaccinated against one disease or another. Similarly, most people are familiar with the spraying of houses with poisonous substances which kill disease-carrying insects.

Q. They help the sick to attain health and the healthy to maintain their health. here they stands for:

In a code language, if SUMMER is coded as SDNLVR, then the word WINTER will be coded as:

Direction: In question number, select the missing number from the given responses.

Today is Monday. After 61 days, it will be:

Rahul and Nitesh are standing in a row of persons. Rahul is 12th from left side and Nitesh is 18th from the right side of the row. If they interchanged their positions Rahul becomes 25th from left. Find the new position of Nitesh from right side?

One of the numbers does not fit into the series. Find the wrong number.
52, 152, 414, 1312, 5348, 26840

In the following question and Δ stands for any of Mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which when substituted makes the question as correct equation?  24 Δ 4 Δ 5 Δ 4

Which represents carrot, food, vegetable?

"All the members of the Tennis club are members of the badminton club too". No woman plays badminton?

Which answer figure is the exact mirror image of the given figure when the mirror held form the right at PQ?

Let A and B be two sets then (A ∪ B)‘∪ (A ‘∩ B) is equal to

Let x and y be two natural numbers such that xy = 12(x + y) and x ≤ y. Then the total number of pairs (x, y) is

If sin²θ + sin²ϕ = 1/2, cos²θ +cos²ϕ = 3/2, then cos² (q – ϕ) is equal to

Let T(k) be the statement 1 + 3 + 5 + ... +  (2k – 1) = k² +10
Which of the following is correct?

The amplitude of

If x = ω – ω² –2, then the value of x⁴ + 3x³ + 2x² – 11x – 6 is

In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes ?

The number of positive integral solution of abc = 30 is

The coefficient of x²⁰ in the expansion of

If x is positive then the sum to infinity of the series

The nearest point on the line 3x + 4y = 12 from the origin is

The length of the tangent drawn from any point on the circle x² + y² + 2fy + λ = 0 to the circle x² + y² + 2fy + μ = 0, where μ > λ  > 0, is

Find the eccentricity of the conic represented by x² – y² – 4x + 4y + 16 = 0

Let f (x + y) = f (x) . f (y) for all x, y where f (0) ≠  0. If f (5) = 2 and f ' (0) = 3, then f ' (5) is equal to –

If sample A contains 100 observations 101, 102, .... 200 and sample B contains 100 obsections 151, 152, .......... 250, then ratio of variance v_A/v_B =

The probability of simultaneous occurrence of atleast one of two events A and B is p. If the probability that exactly one of A, B occurs is q, then P(A’) + P(B’) is equal to

If f is an even function and g is an odd function, then the function fog is

If k ≤ sin^–1 x + cos^–1 x + tan^–1 x ≤ K, then –

The equations 2x + 3y + 4 = 0; 3x + 4y + 6 = 0 and 4x + 5y  + 8 = 0 are

The value of the determinant

If x = a sin θ and y = b cos θ, then d²y/dx² is

If f(x) = x^α log x and f(0) = 0, then the value of a for which Rolle’s theorem can be applied in [0, 1] is

If the function 
 
is continuous at x = 2 and 4, then the values of a and b are

 is a decreasing function of x in R, then the set of possible values of a (independent of x) is

The diagonal of a square is changing at the rate of 0.5 cm/sec. Then the rate of change of area, when the area is 400 cm², is equal to

If the normal to the curve y = f (x) at the point (3, 4) makes an angle 3π/4 with the positive x-axis, then f'(3) =

The area bounded by the curve y = sinx, x-axis and the ordinates x = 0 and x = π/2 is

The differential equation whose solution is Ax² + By² = 1 where A and B are arbitrary constants is of

The unit vector perpendicular to the vectors

If a.b = a.c and a × b = a × c, then correct statement is

What is the value of n so that the angle between the lines having direction ratios (1, 1, 1) and (1, –1, n) is 60°?

The foot of the perpen dicular from the point (7, 14, 5) to the plane 2x + 4y – z = 2 are

Find the coordinates of the point where the line joining the points (2, –3, 1) and (3, – 4, – 5) cuts the plane 2x + y + z = 7.

A boy is throwing stones at a target. The probability of hitting the target at any trial is 1/2. The probability of hitting the target 5th time at the 10th throw is :

Two dice are thrown together 4 times. The probability that both dice will show same numbers twice is -

In a triangle ABC, if a = 2, B = 60° and C = 75°, then b equals

Prabh at wan ts to invest the total amount of ₹ 15,000 in saving certificates and national saving bonds. According to rules, he has to invest at least ₹ 2000 in saving certificates and ₹ 2500 in national saving bonds. The interest rate is 8% on saving certificate and 10% on national saving bonds per annum. He invest ₹ x in saving certificate and ₹ y in national saving bonds. Then the objective function for this problem is