Welcome to your IOE Entrance model set 4

Date: September 26, 2022

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Questions are according to the respective syllabus. This quiz is intended purely for practice, so questions are randomized.

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An electron and a proton are placed in a uniform electric field. The ratio of their acceleration will be

An alkene "X" on ozonolysis gave acetone and acetaldehyde. The product formed by reacting X with HBr in presence of peroxide is

Work function for photo electric effect

If the temperature of sun were increases from T to 2T and it's radius R to 2R then ratio of radiant energy received on earth to that it was previously will be

How many syllable are there in 'admission' ?

If lim x-> 0 (sin4x)/tanax = 5 then the value of a is

If A and B are two matrices and (A+B).(A-B0 = A^2 -B^2

A person of normal range 25 cm to infinity use spectacle of +4D then range of vision while wearing a spectacle is

The number of carbon atoms present in 112 ml of CO gas at STP is

A mixture consists two radioactive materials A1 and A2 with half lives 20 s and 10 s respectively. Initially A1 has 40 g and A2 has 160 g. the amount of two in mixture will be equal after.

General solution of 3cosec^2 X - 4 =0 is

A parallel plate capacitor with an air between two plates has capacitance of 9 micro farad. If the space between capacitor is filled by dielectric of dielectric constant 3 with thickness d/3 and another dielectric of dielectric constant 6 with space 2d/3 then capacitance is

A wire of resistance 10 Ohm is stretched by one tenth of original length. The resistance will be

If y = x-x^2/2 + x^3 / 3 - x^4 / 4 ............∞, then the value of y/1! + y^2/2! +y^3/3! +.......................∞ is

The equation of x = (e^t + e^-t)/2, y = (e^t - e^-t)/2 , t ∈ R is

Two slits having width 1:25 then ratio of intensity at the maxima and minima in the interference pattern will be

Two pieces of metal are suspended from arms of balance and are found to be in equilibrium when kept immersed in water. The mass of one piece is 32 g and it's density is 8 g/cc then density of other is 5 g/cc then mass will be

A ball whose KE is thrown at an angle 45° with horizontal. The KE of ball at highest point is

If a circle touches y-axis and cuts off an intercept of length 2l from x-axis then the locus of the center is

The correct passive voice of 'I know you.' is

The salt which is least likely to be found in mineral is

If a->, b->, c-> are three unit vectors with a-> + b-> + c-> = 0 then the angle between the vectors a and b is

A ball is dropped. After 1 second another ball is dropped from same point. The distance between them after 3 second of 1st ball is

The circumcenter of a right angled Δ with vertices A(0, 0), B(3, 0) and C(0,4) is

The displacement time graph for two particles A and B are straight lines making an angle of 30° and 60° with time axis. If the velocity of A is Va and velocity of B us Vb, then value of Va/Vb is

The current gain of transistor is 60 and load resistance is 5000 Ohm. The input resistance is 500 Ohm then voltage gain will be

It can be inferred from the passage that

IN 1920 after some thirty-nine years of problems with disease, high costs, politics the Panama canal was officially opened, finally linking the atlantic and the pacific oceans by allowing ships to pass through. The fifty mile canal zone instead of travelling some seven thousands miles around Cape Horn. It takes a ship approximately eight hours to complete the trip through the canal and costs an average of fifteen thousand dollars, one tenth of what it would cost an average ship to round the horn. MOre than fifteen thousand ships pass through it's locks every years.

The French initiated the project but sold their rights to the United States, which actually began construction of the project. The later will control it until the end of 2010 when panama takes over it's duties.

The domain and range of the gunction y = 1/(3-cos2x) is

If a, b, c are in A.P 3^a, 3^b, 3^c are in

A tuning fork of 256 Hz is in resonance with 0.4 m length of wire when an iron of mass 2 kg is attached to it's end. The length of wire to resonance if the load is immersed in water is (when density if metal is 8 g/cc)

When two charged metal ball are connected by a connecting wire the charge doesnot flow from one ball to another ball if

If the volume of a cube is increasing at a constant rate then the rate of increase of surface area varies

The volume of water required to dilute 200 ml of 0.12 N NaOH to exactly decinormal NaOH is

In Nessler's reagent the ion present is

In ΔABC, the value of (cosC + cosA)/c+a + cosB/b is

Volume of 4.4 gm of CO2 at STP is

A source of sound is moving with uniform speed along the circumference of circle. The frequency of sound heard by listener at center of circle

The angles of a triangle are in A.P. and the sides are in G.P. Then a^2, b^2, c^2 are in

The number of electrons present in 1 gm of helium is

If sin-1 x + sin-1 y + sin-1 z = π then value of x√(1-y^2) + y√(1-x^2) =

The potential energy of satellite of mass m and revolving at height R equal to radius of earth is

A ball is projected at such an angle that the horizontal range is 3 times the maximum height. The angle of projection of ball is

If the equation x^2 + y^2 + 2gx + 2fy + 1 = 0 represents a pair of lines then

The distance between the parallel planes 2x-2y+z+1 = 0 and 4x-4y+2z+3 = 0 is

If the line lx + my + n = 0 is a normal to the circle x^2 + y^2 = a^2 then

The value of k for which the equation 2x^2 -(5+k)x + 8 = 0 has roots numerically equal 9 = 0 has equal but opposite sign is

Which of the following turns lead acetate paper black ?

Climb.......the stairs into basement.

A layer of ice is formed on the surface of pond in atmosphere of -10°C . The time in which a layer of 1 cm is formed is 7 hours, then time in which layer grow from 1 cm to 2 cm is

The magnetic flux in a closed circuit of 10 Ohm varies with time by Φ = 6t^2 - 5t +1 then current in t = 0.25 sec is

The longest wavelength emitted by hydrogen atom when a photon of wavelength 975 Å fall on it is

The Ksp of CaF2 is 3.95 * 10^11. The concentration of F- ion in saturated solution of CaF2 is

The gas obtained by treating iodoform with silver powder is passed through hot tube then one of the following gas is obtained

A circular coil of 50 turns and area 1.25 * 10^-3 m^2 is pivoted a vertical diameter in magnetic field carries current 2A. When plane of coil is N-S direction then torque acting is 0.04 Nm and plane is EW direction then torque is 0.03 Nm. The magnetic flux is

Which sentence has a phrasal verb?

On heating a mixture of NH4Cl and KNO3 we get

If z = (k+3) + i√(5-k^2) then locus of z is

If (4+3i)(x+iy) = 3-4i then the value of X^2 + y^2 is

A magnetic needle lying parallel to magnetic field requires W units of work to turn through 60°. The torque needed to maintain the needle in this position will be

The word "locks" underlined in the passage is closest in meaning to

IN 1920 after some thirty-nine years of problems with disease, high costs, politics the Panama canal was officially opened, finally linking the atlantic and the pacific oceans by allowing ships to pass through. The fifty mile canal zone instead of travelling some seven thousands miles around Cape Horn. It takes a ship approximately eight hours to complete the trip through the canal and costs an average of fifteen thousand dollars, one tenth of what it would cost an average ship to round the horn. MOre than fifteen thousand ships pass through it's locks every years.

The French initiated the project but sold their rights to the United States, which actually began construction of the project. The later will control it until the end of 2010 when panama takes over it's duties.

The vertex of parabola y^2 +2y +x = 0 lies in ----- quadrant .

Which sentence has a present participle ?

A product formed by roasting of iron pyrite can act as

Electrometallurgy is employed for the extraction of

If x = a + a/r + a/r^2 + .................∞, y= b- b/r + b^2/r^2-.............∞, z = c+ c/r^2 + c/r^4 + ................∞ then,

The minimum value of the function |2x-4| is at point x =

If the roots of the equation x^2 + px + q = 0 and x^2 +qx + p = 0 differ by the same constant then value of p+q is

A Carnot heat engine work with ideal monoatomic gas has adiabatic competition ratio 2. The efficiency is

H.C.F of n!, (n+1)! and (n+2)! is

The pattern of: 'She looks beautiful to me .' is

The cold junction of a thermocouple is maintained at 10°C. The emf become zero when hot junction at 30°C. The neutral temperature is

A voltmeter of resistance 100 Ohm can measure a Pd of 25 V. The resistance required in series to read voltage 250 V is

If (1+x)^n = C0 +C1x +C2x^2+...................+Cnx^n then the value of C0 2C1 + 2^2C2+........+2^nCn is

3.55 gm of hydrated metal carbonate M2CO3.xH2O was dissolved in 100 cc of solution 10 cc of the solution required 8 cc of 0.625 N alkali for neutralization. The value of x is (at. wt. of M = 23)

In Young's experiment the distance between two slits is d/3 and distance between slit and screen is 3D. The no. of fringes in 1/3 rd of screen formed by monochromatic light of wavelength 3λ is:

40 g of ice at 0°C is mixed with 40 g of water at 90°C then the temperature of mixture will be

Who currently controls panama canal?

IN 1920 after some thirty-nine years of problems with disease, high costs, politics the Panama canal was officially opened, finally linking the atlantic and the pacific oceans by allowing ships to pass through. The fifty mile canal zone instead of travelling some seven thousands miles around Cape Horn. It takes a ship approximately eight hours to complete the trip through the canal and costs an average of fifteen thousand dollars, one tenth of what it would cost an average ship to round the horn. MOre than fifteen thousand ships pass through it's locks every years.

The French initiated the project but sold their rights to the United States, which actually began construction of the project. The later will control it until the end of 2010 when panama takes over it's duties.

If α, β, γ are the angles made by the line with the coordinate axes then the value of sin^2 α + sin^2 β + sin^2 γ equals to

The area bounded by the curves y = x and y = x^2 lying in the third quadrant is

The length of the latus rectum of the ellipse 9x^2 + 25Y^2 = 225 is

2 gm of silver were deposited by passing 1A current through AgNO3 solution for 35 minutes. The efficiency of the current is

A glass prism is dipped in water then dispersive power of it

On the average how much would it cost a ship to travel around Cape Horn?

IN 1920 after some thirty-nine years of problems with disease, high costs, politics the Panama canal was officially opened, finally linking the atlantic and the pacific oceans by allowing ships to pass through. The fifty mile canal zone instead of travelling some seven thousands miles around Cape Horn. It takes a ship approximately eight hours to complete the trip through the canal and costs an average of fifteen thousand dollars, one tenth of what it would cost an average ship to round the horn. MOre than fifteen thousand ships pass through it's locks every years.

The French initiated the project but sold their rights to the United States, which actually began construction of the project. The later will control it until the end of 2010 when panama takes over it's duties.

A mass is hanging on a spring balance which is kept in a lift ascends with acceleration then reading of balance.

∫1/(x + x^5) dx = f(x) +c then ∫x^4/(x+x65) dx = ?

If y = c1 e^nx + c2 e^-nx then d2y/dx2 = ?

Which of these pair represents conjugate acid and base ?

The pH value of a solution formed by adding 0.1 M KOH to 100 ml of 0.1 M HCl solution till acid is 3/4 in neutralized

Phonetic transcription of 'King' is

A cylindrical tube open at both ends has fundamental frequency 'f' in air tube is dipped vertically in water so that one fourth of length of tube immersed in water, the fundamental frequency of air column will be