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JEE Main 2015 Question Paper With Answer Key (10th-April-2015)


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90 Questions MCQ Test JEE Main & Advanced Mock Test Series | JEE Main 2015 Question Paper With Answer Key (10th-April-2015)

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JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 1

x and y displacements of a particle are given as x(t) = a sinωt and y(t) = a sin2ωt. Its trajectory will look like :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 2

If a body moving in a circular path maintains constant speed of 10 ms-1, then which of the following correctly describes relation between acceleration and radius ?

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 3

A block of mass m =10 kg rests on a horizontal table. The coefficient of friction between the block and the table is 0.05. When hit by a bullet of mass 50 g moving with speed v, that gets embedded in it, the block moves and comes to stop after moving a distance of 2 m on the table. If a freely falling object were to acquire speed v/10 after being dropped from height H, then neglecting energy losses and taking g = 10 ms-2 , the value of H is close to :

Detailed Solution for JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 3

Momentum conservation 0.05V=10V0


None of the options match.

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 4

A block of mass m = 0.1 kg is connected to a spring of unknown spring constant k. It is compressed to a distance x from its equilibrium position and released from rest. After approaching half the distance (x/2) from equilibrium position, it hits another block and comes to rest momentarily, while the other block moves with a velocity 3 ms-1 . The total initial energy of the spring is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 5

A uniform solid cylindrical roller of mass 'm' is being pulled on a horizontal surface with force F parallel to the surface and applied at its centre. If the acceleration of the cylinder is 'a' and it is rolling without slipping then the value of 'F' is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 6

Consider a thin uniform square sheet made of a rigid material. If its side is 'a', mass m and moment of inertia I about one of its diagonals, then :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 7

A very long (length L) cylindrical galaxy is made of uniformly distributed mass and has radius R (R<<L). A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is T and its distance from the galaxy's axis is r, then :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 8

If it takes 5 minutes to fill a 15 litre bucket from a water tap of diameter cm then the Reynolds number for the flow is (density of water =103 kg/m3 and viscosity of water = 10-3 Pa.s) close to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 9

If two glass plates have water between them and are separated by very small distance (see figure), it is very difficult to pull them apart. It is because the water in between forms cylindrical surface on the side that gives rise to lower pressure in the water in comparison to atmosphere. If the radius of the cylindrical surface is R and surface tension of water is T then the pressure in water between the plates is lower by :

Detailed Solution for JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 9

Excess pressure = 
 = 

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 10

An ideal gas goes through a reversible cycle a → b → c → d has the V - T diagram shown below. Process d → a and b → c are adiabatic.

The corresponding P - V diagram for the process is (all figures are schematic and not drawn to scale) :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 11

In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as Tq . A good estimate for q is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 12

A simple harmonic oscillator of angular frequency 2 rad s-1 is acted upon by an external force F = sint N. If the oscillator is at rest in its equilibrium position at t = 0, its position at later times is proportional to : 

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 13

A bat moving at 10 ms-1 towards a wall sends a sound signal of 8000 Hz towards it. On reflection it hears a sound of frequency f. The value of f in Hz is close to (speed of sound = 320 ms-1)

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 14

A thin disc of radius b = 2a has a concentric hole of radius 'a' in it (see figure). It carries uniform surface charge 'σ' on it. If the electric field on its axis at height 'h' (h << a) from its centre is given as 'Ch' then value of 'C' is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 15

Shown in the figure are two point charges +Q and -Q inside the cavity of a spherical shell. The charges are kept near the surface of the cavity on opposite sides of the centre of the shell. If σ1 is the surface charge on the inner surface and Q1 net charge on it and σ2 the surface charge on the outer surface and Q2 net charge on it then :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 16

If the capacitance of a nanocapacitor is measured in terms of a unit 'u' made by combining the electronic charge 'e', Bohr radius 'a0', Planck's constant 'h' and speed of light 'c' then :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 17

Suppose the drift velocity vd in a material varied with the applied electric field E as . Then V - I graph for a wire made of such a material is best given by :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 18

A 10V battery with internal resistance 1Ω and a 15V battery with internal resistance 0.6Ω are connected in parallel to a voltmeter (see figure). The reading in the voltmeter will be close to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 19

A proton (mass m) accelerated by a potential difference V flies through a uniform transverse magnetic field B. The field occupies a region of space by width 'd'. If 'α' be the angle of deviation of proton from initial direction of motion (see figure), the value of sin α will be :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 20

A 25 cm long solenoid has radius 2 cm and 500 total number of turns. It carries a current of 15 A. If it is equivalent to a magnet of the same size and magnetization (magnetic moment/volume), then is:

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 21

When current in a coil changes from 5 A to 2 A in 0.1 s, an average voltage of 50 V is produced. The self - inductance of the coil is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 22

In the circuits (a) and (b) switches S1 and S2 are closed at t=0 and are kept closed for a long time. The variation of currents in the two circuits for t ≥ 0 are roughly shown by (figures are schematic and not drawn to scale) :
  

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 23

An electromagnetic wave travelling in the x-direction has frequency of 2 x 1014 Hz and electric field amplitude of 27 Vm-1 .From the options given below, which one describes the magnetic field for this wave ?

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 24

You are asked to design a shaving mirror assuming that a person keeps it 10 cm from his face and views the magnified image of the face at the closest comfortable distance of 25 cm. The radius of curvature of the mirror would then be :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 25

A parallel beam of electrons travelling in x-direction falls on a slit of width d (see figure). If after passing the slit, an electron acquires momentum py in the y-direction then for a majority of electrons passing through the slit (h is Planck's constant) :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 26

A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 27

de-Broglie wavelength of an electron accelerated by a voltage of 50 V is close to (|e| = 1.6 x 10-19 C, me = 9.1 x 10-31 kg, h = 6.6 x 10-34 Js) : 

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 28

If one were to apply Bohr model to a particle of mass 'm' and charge 'q' moving in a plane under the influence of a magnetic field 'B', the energy of the charged particle in the nth level will be :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 29

In an unbiased n-p junction electrons diffuse from n - region to p - region because :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 30

Diameter of a steel ball is measured using a Vernier callipers which has divisions of 0.1 cm on its main scale (MS) and 10 divisions of its vernier scale (VS) match 9 divisions on the main scale. Three such measurements for a ball are given as :

If the zero error is -0.03cm, then mean corrected diameter is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 31

A sample of a hydrate of barium chloride weighing 61 g was heated until all the water of hydration is removed. The dried sample weighed 52 g. The formula of the hydrated salt is : (atomic mass, Ba = 137 amu, Cl = 35.5 amu)

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 32

Which of the following is not an assumption of the kinetic theory of gases ?

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 33

If the principal quantum number n = 6, the correct sequence of filling of electrons will be :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 34

After understanding the assertion and reason, choose the correct option.
Assertion : In the bonding molecular orbital (MO) of H2, electron density is increased between the nuclei.
Reason : The bonding MO is, which shows destructive interference of the combining electron waves.

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 35

The heat of atomization of methane and ethane are 360 kJ/mol and 620 kJ/mol, respectively. The longest wavelength of light capable of breaking the C - C bond is (Avogadro number = 6.02 x 1023, h = 6.62 x 10-34Js):

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 36

A solution at 20°C is composed of 1.5 mol of benzene and 3.5 mol of toluene. If the vapour pressure of pure benzene and pure toluene at this temperature are 74.7 torr and 22.3 torr, respectively, then the total vapour pressure of the solution and the benzene mole fraction in equilibrium with it will be, respectively :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 37

Gaseous N2O4 dissociates into gaseous NO2 according to the reaction

At 300 K and 1 atm pressure, the degree of dissociation of N2O4 is 0.2. If one mole of N2O4 gas is contained in a vessel, then the density of the equilibrium mixture is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 38

A variable, opposite external potential (Eext) is applied to the cell
Zn|Zn2+ (1 M) || Cu2+ (1 M) | Cu, of potential 1.1 V.
When Eext < 1.1 V and Eext > 1.1 V, respectively electrons flow from :

Detailed Solution for JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 38

When Eext​<1.1 V, the electrons will flow from anode to cathode, the cell will act as the galvanic cell.


when Eext​>1.1 V, electrons will flow from cathode to anode and the cell will act as electrolytic cell.

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 39

The reaction 2N2O5(g) → 4NO2(g) + O2(g) follows first order kinetics. The pressure of a vessel containing only N2O5 was found to increase from 50 mm Hg to 87.5 mm Hg in 30 min. The pressure exerted by the gases after 60 min. will be (Assume temperature remains constant) :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 40

The following statements relate to the adsorption of gases on a solid surface. Identify the incorrect statement among them:

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 41

In the long form of the periodic table, the valence shell electronic configuration of 5s2 5p4 corresponds to the element present in :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 42

In the isolation of metals, calcination process usually results in :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 43

Permanent hardness in water cannot be cured by :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 44

The correct order of thermal stability of hydroxides is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 45

The least number of oxyacids are formed by :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 46

The geometry of XeOF4 by VSEPR theory is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 47

An aqueous solution of a salt X turns blood red on treatment with SCNand blue on treatment with K4 [Fe(CN)6 ]. X also gives a positive chromyl chloride test. The salt X is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 48

Which molecule/ion among the following cannot act as a ligand in complex compounds ?

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 49

The correct statement on the isomerism associated with the following complex ions,
(a) [Ni(H2O)5NH3]2+,
(b) [Ni(H2O)4(NH3)2]2+ and
(c) [Ni(H2O)3 (NH3)3]2+ is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 50

Photochemical smog consists of excessive amount of X, in addition to aldehydes, ketones, peroxy acetyl nitrile (PAN), and so forth. X is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 51

1.4 g of an organic compound was digested according to Kjeldahl's method and the ammonia evolved was absorbed in 60 mL of M/10 H2SO4 solution.The excess sulphuric acid required 20 mL of M/10 NaOH solution for neutralization. The percentage of nitrogen in the compound is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 52

The optically inactive compound from the following is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 53

A is: 

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 54

A compound A with molecular formula C10H13Cl gives a white precipitate on adding silver nitrate solution. A on reacting with alcoholic KOH gives compound B as the main product. B on ozonolysis gives C and D. C gives Cannizaro reaction but not aldol condensation. D gives aldol condensation but not Cannizaro reaction. A is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 55

In the presence of a small amount of phosphorous, aliphatic carboxylic acids react with chlorine or bromine to yield a compound in which α - hydrogen has been replaced by halogen. This reaction is known as :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 56

Arrange the following amines in the order of increasing basicity.

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 57

Match the polymers in column-A with their main uses in column-B and choose the correct answer :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 58

Complete hydrolysis of starch gives :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 59

is used as :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 60

The cation that will not be precipitated by H2S in the presence of dil HCl is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 61

In a certain town, 25% of the families own a phone and 15% own a car ; 65% families own neither a phone nor a car and 2,000 families own both a car and a phone. Consider the following three statements :
(a) 5% families own both a car and a phone.
(b) 35% families own either a car or a phone.
(c) 40,000 families live in the town.
Then,

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 62

The largest value of r for which the region represented by the set  is contained in the region represented by the set is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 63

If 2 + 3i is one of the roots of the equation 2x3 - 9x2 + kx - 13 = 0, k ∈ R, then the real root of this equation :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 64

The least value of the product xyz for which the determinant  is non-negative, is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 65

If A = , then which one of the following statements is not correct ?

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 66

The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman, is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 67

Let the sum of the first three terms of an A.P. be 39 and the sum of its last four terms be 178. If the first term of this A.P. is 10, then the median of the A.P. is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 68

If the coefficients of the three successive terms in the binomial expansion of (1 + x)n are in the ratio 1 : 7 : 42, then the first of these terms in the expansion is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 69

The value of  is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 70

is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 71

The distance, from the origin, of the normal to the curve, x = 2 cost + 2t sint, is:

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 72

If Rolle's theorem holds for the function, at the point x = 1/2 , then 2b + c equals :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 73

Let the tangents drawn to the circle, x+ y2 =16 from the point P(0, h) meet the x-axis at points A and B. If the area of ΔAPB is minimum, then h is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 74

The integral  is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 75

For x > 0, let f(x) = . Then  is equal to:

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 76

The area (in square units) of the region bounded by the curves y + 2x2 = 0 and y + 3x= 1, is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 77

If y(x) is the solution of the differential equation and y(0) = 0, then y(-4) is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 78

The points (0, 8/3) , (0,3) and (82, 30):

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 79

Let L be the line passing through the point P(1, 2) such that its intercepted segment between the co-ordinate axes is bisected at P. If L1 is the line perpendicular to L and passing through the point (-2,1), then the point of intersection of L and L1 is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 80

If y + 3x = 0 is the equation of a chord of the circle, x2 + y2 - 30x = 0, then the equation of the circle with this chord as diameter is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 81

If the tangent to the conic, y - 6 = x2 at (2,10) touches the circle, x2 + y2 + 8x - 2y = k (for some fixed k) at a point (α, β) ; then (α, β) is

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 82

An ellipse passes through the foci of the hyperbola, 9x2 - 4y2 = 36 and its major and minor axes lie along the transverse and conjugate axes of the hyperbola respectively. If the product of eccentricities of the two conics is 1/2 , then which of the following points does not lie on the ellipse ?

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 83

If the points (1, 1, λ) and (-3, 0, 1) are equidistant from the plane, 3x + 4y - 12z + 13 = 0, then λ satisfies the equation :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 84

If the shortest distance between the lines and x + y + z + 1 = 0 = 2x- y + z + 3 is 1/√3 ,  then a value of α is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 85

Let and be two unit vectors such that .If then  is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 86

Let X be a set containing 10 elements and P(X) be its power set. If A and B are picked up at random from P(X), with replacement, then the probability that A and B have equal number of elements, is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 87

A factory is operating in two shifts, day and night, with 70 and 30 workers respectively. If per day mean wage of the day shift workers is Rs. 54 and per day mean wage of all the workers is Rs.60, then per day mean wage of the night shift workers (in Rs.) is :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 88

In a ΔABC, and  Then the ordered pair (∠A, ∠B) is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 89

If x > 1, then f (5) is equal to :

JEE Main 2015 Question Paper With Answer Key (10th-April-2015) - Question 90

The contrapositive of the statement "If it is raining, then I will not come", is :

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