Test: BITSAT Mock Test- 4

Which of the following statements is correct

An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If lengths and radii of the wires are in the ratio of 4 : 3 and 2 : 3, then ratio of the currents passing through the wires will be

A nucleus ruptures into two nuclear parts which have their velocity ratio equal to 2:1. What will be the ratio of their nuclear radius

The positron was discovered in the year

A uniform chain of length 'L' hangs partly from a table which is kept in equilibrium by friction. The maximum length that can stand without slipping is l then coefficient of friction between the table and the chain is

A series combination of R,L,C is connected to an a.c. source. If the resistance is 3Ω and the reactance is 4Ω, the power factor of the circuit is

If r represents the radius of the orbit of the satellite of mass m moving around the planet of mass M, then velocity of the satellite ν is obtained from the relation

An infinite number of charge of equal magnitude q, but of opposite sign are placed along the X-axis at x = 1, x = 2, x = 4, x = 8... and so on. The electric potential at the point x = 0 due to these charge will be

An electric dipole has the magnitude of its charge as q, and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, then force acting on it and its potential energy are respectively

At constant volume the specific heat of a gas is 3R/2, then the value of 'γ' will be

Newton's law of cooling holds good only, if the temperature difference between the body and its surrounding is

A proton and an electron both moving with the same velocity ν enter into a region of magnetic field directed perpendicular to the velocity of the particles. They will now move in circular orbits such that

The material used for permanent magnet should have

The normal density of gold is ρ and its bulk modulus is K. The increase in density of a lump of gold, when a pressure P is applied uniformly on all sides, is

The surface tension of soap solution is 25*10⁻³ N-m⁻¹. The excess pressure inside a soap bubble of diameter 1 cm is

The co-ordinates of a moving particle at any time 't' are given by x = αt³ and y = βt³. The speed of the partcle at time 't' is given by

A hollow sphere has radius 6.4 m. Minimum velocity required by a motor cyclist at bottom to complete the circle will be

A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time? (Given g = 9.8 m/s)

A solid of density ρ₁ is floating in a liquid of density ρ₂. If ν is the volume of solid submerged in the liquid and V is the total volume of the solid, the ν/V is equal to

A body of mass 2 kg has an initial velocity of 3 metres per second along OE and it is subjected to a force of 4 N in a direction perpendicular to OE. The distance of the body from O after 4 seconds will be

The normal magnifying power of a simple microscope is 6. The focal length of the convex lens used is

Two simple pendulums of length 0.5 m and 20 m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed... oscillations

A convex lens has a focal length f. It is cut into two parts along a line perpendicular to principal axis. The focal length of each part will be

A dics of radius 1 m is rotating with an angular velocity of 10 rad-s⁻¹. The linear velocity of the dics on a point 0.5 m from its centre is

To make the frequency double of a spring oscillator, we have to

A man is sitting with folded hands on a revolving table. Suddenly, he stretches his arms. Angular speed of table would

The current inside a copper voltameter

If the moment of inertia of a wheel, having radius of gyration 60 cm, is 360 kg-m², then mass of the wheel is

Consider the following statements:
Assertion (A) : The internal energy of an ideal gas does not change during an isothermal process
Reason (R) : The decrease in volume of a gas is compensated by a corresponding increase in pressure when its temperature is held constant
Of these statements :

In adiabatic expansion

Weber is the unit of

In soap bubble, colouration is obtained when illuminated by white light due to

If ratio of amplitude of two waves is 4:3, then ratio of maximum and minimum intensity is

Two closed organ pipes, when sounded simultaneously gave 4 beats per sec. If longer pipe has a length of 1m. Then length of shorter pipe will be, (υ = 300 m/s)

A particle is subjected to two mutually perpendicular simple harmonic motions such that its x and y coordinates are given by x = 2 sin ωt y = 2 sin (ωt + π/4) The path of the particle will be

The force constant of a spring is k. And that of another spring of the same material is 2 k. If both the springs are streched through the same distance, then ratio between the works done by the springs is

Two masses of 'M' and '4M' are moving with equal kinetic energy. The ratio of their linear moments is

The reaction of Ethanol with H₂SO₄ does not give

The equation ∆x.∆p ≥ h/4π shows

Which of the following reactions is used for detecting presence of carbonyl group ?

Electronic configuration of deuterium atom is

The reaction, CH₂ = CH-CH₃ + HBr → CH₃CHBr - CH₃ is

In the process of nitration, the electrophile formed is

The four bonds in methane are directed in space at an angle of

The most stable carbonium ion is:

The reason for double helical structure of DNA is operation of

The final product 'C' in the above reaction is

Sweetest sugar is

Given : C + 2S→CS₂ ; ∆H = 117 KJ
C + O₂→CO₂; ∆H = -393 KJ
S + O₂→ ; ∆H = -297 KJ
The heat of combustion of CS₂ to form CO₂ and SO₂ is

The bond angle around the central atom is maximum for

In which of the following case,does the reaction go farthest completion ?

The rate of reaction is doubled for every 10^o rise in temperature. The increase in reaction rate as a result of temperature rise from 10^o to 100^o is

The hybird propellant consists of

In an electrochemical cell, if E^o is the EMF of the cell involving 'n' mole of electrons, then ∆G^o is

Which of the following has least electron affinity?

The geometry of the compound [Pt(NH₃)₂Cl₂] is

Nickel is purified by

When acidified solution of K₂Cr₂O₇ is shaken with aqueous solution of FeSO₄, then

4gram of hydrocarbon on complete combustion gave 12 • 571 gram of CO₂ and 5 •143 gram of water. What is the empirical formula of the hydrocarbon

The equivalent conductance of NaCl, HCl and C₂H₅COONa at infinite dilution are 126.45, 426.16 and 91 ohm⁻¹ cm² respectively. The eq. conductance of C₂H₅COOH is

What is formed when calcium carbide reacts with heavy water?

Acidic hydrogens are present in

Isomers have essentially identical :

sym-Tetrabromoethane on heating with Zn gives

The pink colour of phenolphthalein, in alkaline medium, is due to

BCl₃ is planar molecule because in this molecule boron is

In graphite, electrons are

Bio-gas and producer gas are made up of

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

Which of the following is amphoteric?

In the extraction of sodium by Down's process, cathode and anode are respectively.

Which is an example of thermosetting polymer?

The movement of solvent molecules through a semipermeable membrane is called

KO₂ (potassium super oxide) is used in oxygen cylinders in space and submarines because it

Copper metal adopts ccp arrangement, the co-ordination number of Cu is

An organic compound having carbon and hydrogen has 80% carbon. The empirical formula of the hydrocarbon is

Crystalloids differ from colloids mainly in respect of

In the expansion of [(x²)-(2x)]¹⁰ coefficient of x¹⁶ is

The area bounded by the curve y = x and y = x³ is

The tangent line x=0 to the circles x²+y²-2x-6y+9 touches y-axis at the point

Given the circles x² + y² - 4x - 5 = 0 and x² + y² + 6x - 2y + 6 = 0. Let P be a point (α, β) such that the tangents from P to both the circles are equal. Then

If |z| = 4 and arg z = (5π/6), then the value of z is

The differential equation of family of curves y=Ae^3x+Be^5x where A,B are constants, is

The solution of the equation (1-x²)dy+xydx=xy²dx is

If f(x)=cosx, 0≤x≤(π/2), the value of 'c' for which f(x) satisfies Mean Value theorem is

Find the sum of the series

The latus rectum of the hyperbola 16x² - 9y² = 144 is

From the top and the foot of a house h metres high the angles of elevation of the top of a tower are β and α respectively, then the height of the tower is

If y = y(x) and [(2 + sin x)∕(y + 1)(dy∕dx)] = -cos x, y(0) = 1, then y (π∕2) equals

The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis is

The order and degree of the differential equation (d⁴y/dx⁴) = y + (dy/dx)⁴ are respectively

Cos⁻¹(1/2) + 2 sin⁻¹(1/2) is equal to

If f(x) is a differentiable function such that f : R → R and f(1/n) = 0 ∀ n ≥1, n ∈ I, then

If A and B are square matrices of order 3 such that ∣A∣ = -1, ∣B∣ = 3, then ∣3 AB∣ =

The system of equation x+y+z = 2, 3x-y+2z = 6 and 3x+y+z = -18 has

The ratio of the altitude of the cone of greatest volume which can be inscribed in a given sphere to the diameter of the sphere is

If a, b, c are distinct positive real numbers and a² + b² + c² = 1, then ab + bc + ca is

The combined equation of bisector of angles between lines represented by (x²+y²)√3=4xy is

The tangents at the points on the parabola y² = 4ax are at right angles if

If P S P ′ is a focal chord of the parabola y² = 4 a x and SL is its semi latus-rectum then S P , S L , S P ′ are in

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

In a Poisson distribution mean is 16, then S.D. is

Two cards are drawn successively with replacement from a pack of 52 cards. The probability of drawing two aces is

How many words are formed from the letters of the word EAMCET so that two vowels are never together?

In Δ A B C , if 3 a = b + c , then cot B/2 • cot C/2 =

In a Δ A B C , the correct formulae among the following are:

If α,β,γ are the roots of the equation x³+4x+1 = 0 then (α+β)⁻¹ + (β+γ)⁻¹ + (γ+α)⁻¹ is equal to

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

Sin⁻¹(3/5) + tan⁻¹(1/7) is equal to

If a, b, c are in A.P., then 10^ax+10, 10^bx+10, 10^cx+10, x ≠ 0 are in

The quadratic function f (x) whose graph goes through the points (-1, 4), (1, 0) and (2, 1) is

The length of the sub normal to the parabola y²=4ax at any point is equal to

The line passing through points (1,0) and (-2,√3) makes following angle with x-axis

The angle between the lines (x - 1)/1 = (y - 1)/1 = (z - 1)/2 and (x - 1)/(- √3 - 1) = (y - 1)/(√3 - 1) = (z - 1)/4 is

If A (1,2,3),B(-1,-1,-1) be the pts., then the distance AB is

The number of roots of the equation 2 sin²θ + 3 sin θ + 1 = 0 in 0,2 π is

The equation 3sin²x + 10cosx - 6 = 0 is satisfied if

cos20^o cos40^o cos80^o=

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.

Find the Antonym of AMBLE.

Fill in the blank with appropriate word.
Even in today's modern society, people.....god to bring rains.

Fill in the blank with appropriate word.
The passengers and crew members of the aeroplane had a.......escape when it was taking off from the runway.

Choose the one which can be substituted for the given words/sentences :
The doctrine that human souls pass from one body to another at the time of death

Let is a unit vector such that eq uals

If are any three mutually perpendicular vectors of equal magnitude a then is equal to

Choose the one which can be substituted for the given words/sentences :
Cutting for stone in the bladder

Spot the error.

Spot the error.

Spot the error.

Find the Synonym of the word occurring in the sentence in capital letter as per the context.
The article was so well written that it MERITED careful study.

Find the Synonym of the word occurring in the sentence in capital letter as per the context.
Very few of our batsman have any real CONSISTENCY.

Complete the analogous pair.
Paddy : Field : : Steel : ?

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

In this letter series, some of the letters are missing. Choose the correct letter given below -
c _ ac _ aa _ aa _ bc _ bcc

Choose the word which is least like the other words in the group .

Find out the term in the number series which is wrong.
1, 5, 14, 30, 55, 93

Find the missing character.

Please go through following and answer question no.128 to no.131

The prisoner awaited his chance. For three solid years he had schemed for this opportunity . Now that escape seemed so near at hand, those three years lost some of their monotony . But he would never forget the lashes, the close confinement, low diet , and worse still the mental strain of those black days . Suddenly the warden did what he had hoped . He stopped to unlock the lower padlock. With a dull thud he slumped forward with keys in his hands. Swiftly the prisoner seized his keys, unlocked the cell, and ran into the courtyard. It took him four seconds to reach the rope-ladder secretly placed there by his accomplices , five more to clamber over the wall, and three more to jump into the waiting car to be whisked away to freedom . Even though he was guilty , the prisoner felt he had paid for his crime, for the man he had robbed three years ago was still a millionaire .

Q. For what crime had the prisoner been punished ?

Please go through following and answer question no.128 to no.131

The prisoner awaited his chance. For three solid years he had schemed for this opportunity . Now that escape seemed so near at hand, those three years lost some of their monotony . But he would never forget the lashes, the close confinement, low diet , and worse still the mental strain of those black days . Suddenly the warden did what he had hoped . He stopped to unlock the lower padlock. With a dull thud he slumped forward with keys in his hands. Swiftly the prisoner seized his keys, unlocked the cell, and ran into the courtyard. It took him four seconds to reach the rope-ladder secretly placed there by his accomplices , five more to clamber over the wall, and three more to jump into the waiting car to be whisked away to freedom . Even though he was guilty , the prisoner felt he had paid for his crime, for the man he had robbed three years ago was still a millionaire .

Q. When had the crime been committed ?

Please go through following and answer question no.128 to no.131

The prisoner awaited his chance. For three solid years he had schemed for this opportunity . Now that escape seemed so near at hand, those three years lost some of their monotony . But he would never forget the lashes, the close confinement, low diet , and worse still the mental strain of those black days . Suddenly the warden did what he had hoped . He stopped to unlock the lower padlock. With a dull thud he slumped forward with keys in his hands. Swiftly the prisoner seized his keys, unlocked the cell, and ran into the courtyard. It took him four seconds to reach the rope-ladder secretly placed there by his accomplices , five more to clamber over the wall, and three more to jump into the waiting car to be whisked away to freedom . Even though he was guilty , the prisoner felt he had paid for his crime, for the man he had robbed three years ago was still a millionaire .

Q. Who slumped forward with a dull thud ?

Please go through following and answer question no.128 to no.131

The prisoner awaited his chance. For three solid years he had schemed for this opportunity . Now that escape seemed so near at hand, those three years lost some of their monotony . But he would never forget the lashes, the close confinement, low diet , and worse still the mental strain of those black days . Suddenly the warden did what he had hoped . He stopped to unlock the lower padlock. With a dull thud he slumped forward with keys in his hands. Swiftly the prisoner seized his keys, unlocked the cell, and ran into the courtyard. It took him four seconds to reach the rope-ladder secretly placed there by his accomplices , five more to clamber over the wall, and three more to jump into the waiting car to be whisked away to freedom . Even though he was guilty , the prisoner felt he had paid for his crime, for the man he had robbed three years ago was still a millionaire .

Q. How many seconds did it take for the prisoner to regain his freedom ?

Please go through following and answer question no.145 to no.146

Select the correct mirror image of the figure (X) from amongst the given alternatives.

Q. 

Please go through following and answer question no.145 to no.146

Select the correct mirror image of the figure (X) from amongst the given alternatives.

Q.

Please go through following and answer question no.147 to no.148

Each of the following questions consists of five Problem figures marked 1,2,3,4 and 5 followed by five Answer figures marked A,B,C,D and E . Select a figure from the Answer figures which will continue the same series as given in the Problem figures.

Q.

Please go through following and answer question no.147 to no.148

Each of the following questions consists of five Problem figures marked 1,2,3,4 and 5 followed by five Answer figures marked A,B,C,D and E . Select a figure from the Answer figures which will continue the same series as given in the Problem figures.

Q.