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In a transformer the primary has 500 turns and secondary has 50 turn. 100 volts are applied to the primary coil, the voltage developed in the secondary will be
An oil drop carrying a charge q has a mass m kg. It is falling freely in air with terminal speed ν. The electric field required to make the drop move upwards with the same speed is
If six identical cells each having an e.m.f of 6V are connected in parallel, the E.M.F of the combination is
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
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 Xaxis 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 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 decrease in volume of gold is ΔV = VP/ K .....(i)
If m is the mass of gold, its density ρ = m V . Due to a decrease ΔV in volume, the increase Δρ in the density is
Δρ = m/ ΔV = ρV/ ΔV
or ΔV = ρV/ Δρ .....(ii)
Equating (i) and (ii) we get Δρ = ρK/ P
The surface tension of soap solution is 25*10⁻^{3} Nm⁻^{1}. The excess pressure inside a soap bubble of diameter 1 cm is
The coordinates of a moving particle at any time 't' are given by x = αt^{3} and y = βt^{3}. 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)
Interval of ball throw = 2 sec
If we want that minimum three (more than two) ball remain in air then time of flight of first ball must be greater than 4 sec
T > 4 sec
2u/g > 4 sec
⇒ u > 19.6 m/s
For u = 19.6. First ball will just strike the ground(in sky)
Second ball will be at highest point (in sky)
Third ball will be at point of projection or at ground (not in sky)
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 rads⁻^{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
If the moment of inertia of a wheel, having radius of gyration 60 cm, is 360 kgm^{2}, 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 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
Which of the following reactions is used for detecting presence of carbonyl group ?
In the process of nitration, the electrophile formed is
The four bonds in methane are directed in space at an angle of
The reason for double helical structure of DNA is operation of
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
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
In an electrochemical cell, if E^{o} is the EMF of the cell involving 'n' mole of electrons, then ∆G^{o} is
Ar is an inert gas and the atoms of these elements have completely filled subshells.As a result, there is no room in their valence orbitals and the additional electron has to be placed in an orbital of next higher shell.
When acidified solution of K₂Cr₂O₇ is shaken with aqueous solution of FeSO₄, then
4gram of hydrocarbon on complete combustion gave 12 • 571 gram of CO_{2} 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} cm^{2} respectively. The eq. conductance of C₂H₅COOH is
What is formed when calcium carbide reacts with heavy water?
The pink colour of phenolphthalein, in alkaline medium, is due to
BCl₃ is planar molecule because in this molecule boron is
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
In the extraction of sodium by Down's process, cathode and anode are respectively.
The movement of solvent molecules through a semipermeable membrane is called
KO_{2} (potassium super oxide) is used in oxygen cylinders in space and submarines because it
Because it absorbs CO_{2} and increases O_{2} concentration according to the following reaction
4KO_{2} + 2CO_{2} → 2K_{2}CO_{3} + 3O_{2}
Copper metal adopts ccp arrangement, the coordination number of Cu is
An organic compound having carbon and hydrogen has 80% carbon. The empirical formula of the hydrocarbon is
In the expansion of [(x^{2})(2x)]^{10} coefficient of x^{16} is
The tangent line x=0 to the circles x^{2}+y^{2}2x6y+9 touches yaxis at the point
Given the circles x^{2} + y^{2}  4x  5 = 0 and x^{2} + y^{2} + 6x  2y + 6 = 0. Let P be a point (α, β) such that the tangents from P to both the circles are equal. Then
The differential equation of family of curves y=Ae^{3x}+Be^{5x} where A,B are constants, is
THe given equation is y = Ae^{3x} + Be^{5x} .....(1)
Differentiating w.r.t. x, we get y' = 3Ae^{3x} + 5Be^{5x} .....(2)
Differentiating again w.r.t. x, we get y" = 9Ae^{3x} + 25Be^{5x} .....(3)
[Now we find Ae^{3x} and Be^{5x} from (2) and (3)]
Multiplying (2) by 5 and subtracting (3) from the result 5y'  y" = 6Ae^{3x}
or Ae^{3x} = 1/6 (5y'  y")
Multiplying (2) by 3 and subtracting the result form (3), y"  3y' = 10Be^{5x}
or Be^{5x} = 1/10 (y"  3y')
Substituting the values of Ae^{3x} and Be^{5x} in (1), we get
The solution of the equation (1x^{2})dy+xydx=xy^{2}dx is
If f(x)=cosx, 0≤x≤(π/2), the value of 'c' for which f(x) satisfies Mean Value theorem is
Sum of the given series:
The latus rectum of the hyperbola 16x^{2}  9y^{2} = 144 is
Correct Answer : b
Explanation : y = 1/4(log(1+x)−log(1−x)) − 1/2tan1x
dy/dx = 1/4 [2/(1−x^{2})) − 1/2(1+x^{2}))
= 1/4(2/(1−x^{2}) − (1/2)*1/(1+x^{2}))
= 1/2[((1+x^{2}) − (1−x^{2}))/(1−x^{4})]
= x^{2}/(1−x^{4})
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 = x2, x = 1, x = 3 and the xaxis is
The order and degree of the differential equation (d^{4}y/dx^{4}) = y + (dy/dx)^{4} are respectively
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, 3xy+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 a^{2} + b^{2} + c^{2} = 1, then ab + bc + ca is
The combined equation of bisector of angles between lines represented by (x^{2}+y^{2})√3=4xy is
The tangents at the points on the parabola y^{2} = 4ax are at right angles if
If P S P ′ is a focal chord of the parabola y^{2} = 4 a x and SL is its semi latusrectum 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 :
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 x^{3}+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
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 y^{2}=4ax at any point is equal to
The line passing through points (1,0) and (2,√3) makes following angle with xaxis
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
Correct Answer : C
Explanation : cosθ = (a_{1}a_{2} + b_{1}b_{2} + c_{1}c_{2})/(a_{1}^{2} + b_{1}^{2} + c_{1}^{2})^{1/2} * (a_{2}^{2} + b_{2}^{2}+ c_{2}^{2})^{½}
=> (xx1)/a = (yy1)/b = (zz1)/c
a_{1} = 1 b_{1} = 1 c_{1} = 2
a_{2} = √31 b_{2} = √31 c_{2} = 4
a_{1}a_{2} + b_{1}b_{2} + c_{1}c_{2} = √3  1 + √3  1 + 8
=> 6
cosθ = 6/[(1+1+4)^{1/2} * (3+2√3+1+32√3+1+16)^{1/2}
cosθ = 6/[√6*√24]
cosθ = 6/√144
cosθ = 6/12
cosθ = 1/2
θ = π/3
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 sin^{2}θ + 3 sin θ + 1 = 0 in 0,2 π is
The equation 3sin^{2}x + 10cosx  6 = 0 is satisfied if
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.
'Various' means several and different
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
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
'It is not only our duty' instead of 'Not only it is our duty'
Correct answer is as the cost of the latter was much less
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.
Merit as a verb means to earn or to deserve
Merit as a noun means to superior quality or worth; excellence.
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.
Meaning of Consistent  A harmonious uniformity or agreement or constancy among things or parts or events.
Complete the analogous pair.
Paddy : Field : : Steel : ?
Group the following figures into three classes on the basis of identical properties.
1,7,8 are all undivided geometrical figures.
3,5,6 are geometrical figures divided into two parts.
2,4,9 are geometrical figures divided into four parts.
In this letter series, some of the letters are missing. Choose the correct letter given below 
c _ ac _ aa _ aa _ bc _ bcc
The series is ccacc/aabaa/bbcbb/cc
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
In the first column, 1711=2519=6.
In the second column, 126=3428=6.
Let the missing number in the third column be x.
Then, x8=1911=8 or x=16.
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 ropeladder 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 ropeladder 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 ropeladder 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 ropeladder 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.
The symbol gets vertically inverted and laterally inverted alternately. It also moves in ACW direction through distances equal to two halfsides (of square boundary) and three halfsides alternately.
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.
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