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JEE Main 2013 Question Paper with Solutions


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JEE Main 2013 Question Paper with Solutions - Question 1

PART A

Q. No. 1 -30 carry 4 marks each and 1 mark is deducted for every wrong answer.

Q. An unknown alcohol is treated with the “Lucas reagent” to determine whether the alcohol is primary,
secondary or tertiary. Which alcohol reacts fastest and by what mechanism:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 1

Reaction proceeds through carbocation formation as 30 carbocation is highly stable, hence reaction proceeds
through SN1 with 30 alcohol.

JEE Main 2013 Question Paper with Solutions - Question 2

The first ionization potential of Na is 5.1 eV. The value of electron gain enthalpy of Na+ will be:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 2

 here the backward reaction releases same amount of energy and known as Electron gain enthalpy.

JEE Main 2013 Question Paper with Solutions - Question 3

Stability of the species  increases in the order of:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 3

  is more stable than    has more numbers of antibonding electrons

JEE Main 2013 Question Paper with Solutions - Question 4

The molarity of a solution obtained by mixing 750 mL of 0.5 (M) HCl with 250 mL of 2(M)HCl will be:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 4

JEE Main 2013 Question Paper with Solutions - Question 5

Which of the following is the wrong statement?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 5

(All the options are correct statements)

(2) Correct, as ozone is violet-black solid.
(3) Correct, as ozone is diamagnetic.
(4) Correct, as ONCl = 32 electrons and

ONO = 24 electron hence are not isoelectronic.

JEE Main 2013 Question Paper with Solutions - Question 6

Four successive members of the first row transition elements are listed below with atomic numbers. Which
one of them is expected to have the highest  value?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 6

JEE Main 2013 Question Paper with Solutions - Question 7

A solution of (–) –1 – chloro –1 – phenylethane is toluene racemises slowly in the presence of a small
amount of SbCl5, due to the formation of :

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 7

JEE Main 2013 Question Paper with Solutions - Question 8

The coagulating power of electrolytes having ions Na+, Al3+ and Ba2+ for arsenic sulphide sol increases in
the order:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 8

As2S3 is an anionic sol (negative sol) hence coagulation will depend upon coagulating power of cation, which is directly proportional to the valency of cation (Hardy-Schulze rule).

JEE Main 2013 Question Paper with Solutions - Question 9

How many litres of water must be added to 1 litre of an aqueous solution of HCl with a pH of 1 to create an
aqueous solution with pH of 2?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 9

*Multiple options can be correct
JEE Main 2013 Question Paper with Solutions - Question 10

Which one of the following molecules is expected to exhibit diamagnetic behaviour?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 10

C→ Dimagametic

JEE Main 2013 Question Paper with Solutions - Question 11

Which of the following arrangements does not represent the correct order of the property stated against it?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 11

The exothermic hydration enthalpies of the given trivalent cations are:
Sc+3 = 3960 kJ/mole
Fe+3 = 4429 kJ/mole
Co+3 = 4653 kJ/mole
Cr+3 = 4563 kJ/mole
Hence Sc+3 is least hydrated; so least stable (not most stable)
Fe+2 contains 4 unpaired electrons where as Mn+2 contains 5 unpaired electrons hence (4) is incorrect.

JEE Main 2013 Question Paper with Solutions - Question 12

Experimentally it was found that a metal oxide has formula M0.98O. Metal M, is present as M2+ and M3+ in
its oxide. Fraction of the metal which exists as M3+ would be:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 12

Metal oxide = M0.98O
If ‘x’ ions of M are in +3 state, then
3x + (0.98 – x) × 2 = 2
x = 0.04
So the percentage of metal in +3 state would be 

JEE Main 2013 Question Paper with Solutions - Question 13

compound with molecular mass 180 is acylated with CH3COCl to get a compound with molecular mass
390. The number of amino groups present per molecule of the former compound is:

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JEE Main 2013 Question Paper with Solutions - Question 14

Given

Based on the data given above, strongest oxidising agent will be:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 14

As per data mentioned
 is strongest oxidising agent as it has maximum SRP value.

JEE Main 2013 Question Paper with Solutions - Question 15

Arrange the following compounds in order of decreasing acidity:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 15

Correct order of acidic strength is III > I > II > IV

JEE Main 2013 Question Paper with Solutions - Question 16

The rate of a reaction doubles when its temperature changes from 300K to 310K. Activation energy of such
a reaction will be:

(R = 8.314 JK–1 mol–1 and log 2 = 0.301)

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 16

JEE Main 2013 Question Paper with Solutions - Question 17

Synthesis of each molecule of glucose in photosynthesis involves:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 17

JEE Main 2013 Question Paper with Solutions - Question 18

Which of the following complex species is not expected to exhibit optical isomerism?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 18

[Co(NH3)3Cl3] exists in two forms (facial and meridonial)

Both of these forms are achiral. Hence, [Co(NH3)3Cl3] does not show optical isomerism

JEE Main 2013 Question Paper with Solutions - Question 19

A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant
temperature of 37.00C. As it does so, it absorbs 208J of heat. The values of q and w for the process will be:

(R = 8.314 J/mol K) ( l n 7.5 = 2.01)

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 19

Process is isothermal reversible expansion, hence ΔU = 0.
q = −W
As q = +208 J
Hence W = −208 J

 

JEE Main 2013 Question Paper with Solutions - Question 20

A gaseous hydrocarbon gives upon combustion 0.72 g of water and 3.08 g of CO2. The empirical formula of
the hydrocarbon is:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 20

JEE Main 2013 Question Paper with Solutions - Question 21

The order of stability of the following carbocations:

 is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 21

Order of stability is III > I > II.

JEE Main 2013 Question Paper with Solutions - Question 22

Which of the following represents the correct order of increasing first ionization enthalpy for Ca, Ba, S, Se
and Ar?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 22

Increasing order of first ionization enthalpy is
Ba < Ca < Se < S < Ar

JEE Main 2013 Question Paper with Solutions - Question 23

For gaseous state, if most probable speed is denoated by C*, average speed by  and mean square speed by C, then for a large number of molecules the ratios of these speeds are:

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JEE Main 2013 Question Paper with Solutions - Question 24

The gas leaked from a storage tank of the Union Carbide plant in Bhopal gas tragedy was:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 24

It was methyl isocyanate (CH3NCO)

JEE Main 2013 Question Paper with Solutions - Question 25

Consider the following reaction: 

The values of x, y and z in the reaction are, respectively:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 25

JEE Main 2013 Question Paper with Solutions - Question 26

Which of the following exists as covalent crystals in the solid state?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 26

Silicon (Si) – covalent solid
Sulphur (S8) – molecular solid
Phosphorous (P4) – Molecular solid
Iodine (I2) – Molecular solid

JEE Main 2013 Question Paper with Solutions - Question 27

Compound (A), C8H9Br, gives a white precipitate when warmed with alcoholic AgNO3. Oxidation of (A)
gives a acid (B), C8H6O4. (B) easily forms anhydride on heating. Identify the compound (A).

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 27

JEE Main 2013 Question Paper with Solutions - Question 28

Energy of an electron is given by  Wavelength of light required to excite an
electron in an hydrogen atom from level n = 1 to n = 2 will be

(h = 6.62 × 10−34 Js and c = 3.0 × 108 ms−1)

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 28

JEE Main 2013 Question Paper with Solutions - Question 29

An organic compound A upon reacting with NH3 gives B. On heating B gives C. C in presence of KOH
reacts with Br2 to give CH3CH2NH2. A is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 29

JEE Main 2013 Question Paper with Solutions - Question 30

In which of the following pairs of molecules/ions, both the species are not likely to exist?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 30

Bond order of  and He2 is zero, thus their existence is not possible.

JEE Main 2013 Question Paper with Solutions - Question 31

The circle passing through (1, −2) and touching the axis of x at (3, 0) also passes through the point

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 31

JEE Main 2013 Question Paper with Solutions - Question 32

ABCD is a trapezium such that AB and CD are parallel and BCCD. If ADB = q, BC = p and CD = q,
then AB is equal to

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JEE Main 2013 Question Paper with Solutions - Question 33

Given : A circle, 2x2 + 2y2 = 5 and a parabola, y2 =  x.

Statement − I : An equation of a common tangent to these curves is y  = 

Statement − II : If the line,  is their common tangent, then m satisfies m4 - 3m2+2=0

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JEE Main 2013 Question Paper with Solutions - Question 34

A ray of light along  gets reflected upon reaching x-axis, the equation of the reflected rays is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 34

Slope of the incident ray is 

So, the slope of the reflected ray must be 

The point of incidence is √30 So, the equation of reflected ray is 

JEE Main 2013 Question Paper with Solutions - Question 35

All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10
to each of the students. Which of the following statistical measures will not change even after the grace
marks were given ?

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JEE Main 2013 Question Paper with Solutions - Question 36

If x, y, z are in A.P. and tan−1x, tan−1y and tan−1z are also in A.P., then

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 36

JEE Main 2013 Question Paper with Solutions - Question 37

if  

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JEE Main 2013 Question Paper with Solutions - Question 38

The equation of the circle passing through the foci of the ellipse and having centre at (0, 3) is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 38

JEE Main 2013 Question Paper with Solutions - Question 39

The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1)
(1, 1) and (1, 0) is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 39

 

JEE Main 2013 Question Paper with Solutions - Question 40

The intercepts on x-axis made by tangents to the curve, are parallel to the line
y = 2x, are equal to

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JEE Main 2013 Question Paper with Solutions - Question 41

The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, ….. , is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 41

JEE Main 2013 Question Paper with Solutions - Question 42

Consider :
Statement − I : is a fallacy.

Statement − II :  is a tautology.

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JEE Main 2013 Question Paper with Solutions - Question 43

The area (in square units) bounded by the curves y = , 2y − x + 3 = 0 , x-axis, and lying in the first
quadrant is

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JEE Main 2013 Question Paper with Solutions - Question 44

The expression  can be written as

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 44

JEE Main 2013 Question Paper with Solutions - Question 45

The real number k for which the equation, 2x3 + 3x + k = 0 has two distinct real roots in [0, 1]

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 45

If 2x3 + 3x + k = 0 has 2 distinct real roots in [0, 1], then f' (x) will change sign
but f'(x) = 6x2 + 3 > 0
So no value of k exists.

JEE Main 2013 Question Paper with Solutions - Question 46

 is equal to

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JEE Main 2013 Question Paper with Solutions - Question 47

Let Tn be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If
Tn+1 − Tn = 10, then the value of n is

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JEE Main 2013 Question Paper with Solutions - Question 48

At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t.
additional number of workers x is given by . If the firm employs 25 more workers, then
the new level of production of items is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 48

JEE Main 2013 Question Paper with Solutions - Question 49

Statement − I : The value of the integral  

Statement − II : 

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 49

JEE Main 2013 Question Paper with Solutions - Question 50

If    is the adjoint of a 3 × 3 matrix A and |A| = 4, then α is equal to

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 50

JEE Main 2013 Question Paper with Solutions - Question 51

The number of values of k, for which the system of equations
(k + 1)x + 8y = 4k
kx + (k + 3)y = 3k − 1
has no solution, is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 51

which means, k has only one value where the equation has no solution

JEE Main 2013 Question Paper with Solutions - Question 52

If   is equal to

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 52

JEE Main 2013 Question Paper with Solutions - Question 53

If the lines  are coplanar, then k can have

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 53

JEE Main 2013 Question Paper with Solutions - Question 54

Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A × B
having 3 or more elements is

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JEE Main 2013 Question Paper with Solutions - Question 55

If the vectors  are the sides of a triangle ABC, then the length of the
median through A is

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JEE Main 2013 Question Paper with Solutions - Question 56

A multiple choice examination has 5 questions. Each question has three alternative answers of which
exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is

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P (correct answer) = 1/3

JEE Main 2013 Question Paper with Solutions - Question 57

If z is a complex number of unit modulus and argument θ, then arg  equals

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 57

JEE Main 2013 Question Paper with Solutions - Question 58

If the equations x2 + 2x + 3 = 0 and ax2 + bx + c = 0, a, b, c R, have a common root, then a : b : c is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 58

JEE Main 2013 Question Paper with Solutions - Question 59

Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 59

JEE Main 2013 Question Paper with Solutions - Question 60

The term independent of x in expansion of 

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 60

JEE Main 2013 Question Paper with Solutions - Question 61

Q. No. 61 - 90 carry 4 marks each and 1 mark is deducted for every wrong answer

Q. In an LCR circuit as shown below both switches are open initially. Now switch S1 is closed, S2 kept open. (q is charge on the capacitor and t = RC is capacitive time constant). Which of the following statement is correct?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 61

Charge on the capacitor at any time ‘t’ is

JEE Main 2013 Question Paper with Solutions - Question 62

A diode detector is used to detect an amplitude modulated wave of 60% modulation by using a condenser of
capacity 250 pico farad in parallel with a load resistance 100 kilo ohm. Find the maximum modulated
frequency which could be detected by it.

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JEE Main 2013 Question Paper with Solutions - Question 63

The supply voltage to a room is 120 V. The resistance of the lead wires is 6 W. A 60 W bulb is already
switched on. What is the decrease of voltage across the bulb, when a 240 W heater is switched on in parallel
to the bulb?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 63

JEE Main 2013 Question Paper with Solutions - Question 64

A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length
vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of density σ at
equilibrium position. The extension x0 of the spring when it is in equilibrium is:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 64

JEE Main 2013 Question Paper with Solutions - Question 65

Two charges, each equal to q, are kept at x = −a and x = a on the x-axis. A particle of mass m and charge

q0= q/2 is placed at the origin. If charge q0 is given a small displacement  along the y-axis, the net force acting on the particle is proportional to:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 65

JEE Main 2013 Question Paper with Solutions - Question 66

A beam of unpolarised light of intensity I0 is passed through a polaroid A and then through another polaroid
B which is oriented so that its principal plane makes an angle of 45° relative to that of A. The intensity of
the emergent light is:

JEE Main 2013 Question Paper with Solutions - Question 67

The anode voltage of a photocell is kept fixed. The wavelength λ of the light falling on the cathode is
gradually changed. The plate current I of the photocell varies as follows:

JEE Main 2013 Question Paper with Solutions - Question 68

Two coherent point sources S1 and S2 are separated by a small distance ‘d’ as
shown. The fringes obtained on the screen will be:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 68 C)
So, on a circle, path difference will be same locus of points having same path difference will be a circle, so fringes will make concentric circles.
JEE Main 2013 Question Paper with Solutions - Question 69

A metallic rod of length ‘’ is tied to a string of length 2l and made to rotate with angular speed ω on a horizontal table with one end of the string fixed. If there is a vertical magnetic field ‘B’ in the region, the
e.m.f. induced across the ends of the rod is:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 69

JEE Main 2013 Question Paper with Solutions - Question 70

In a hydrogen like atom electron makes transition from an energy level with quantum number n to another
with quantum number (n – 1). If n >> 1, the frequency of radiation emitted is proportional to

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 70

JEE Main 2013 Question Paper with Solutions - Question 71

Assume that a drop of liquid evaporates by decrease in its surface energy, so that its temperature remains
unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is
T, density of liquid is r and L is its latent heat of vaporization.

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 71

JEE Main 2013 Question Paper with Solutions - Question 72

The graph between angle of deviation (d) and angle of incidence (i) for a triangular prism is represented by:

JEE Main 2013 Question Paper with Solutions - Question 73

Let [ε0] denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time
and A = electric current, then:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 73

JEE Main 2013 Question Paper with Solutions - Question 74

The above p-v diagram represents the thermodynamic cycle of an engine, operating with an ideal
monoatomic gas. The amount of heat extracted from the source in a single cycle is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 74

Heat is extracted from the source in path DA and AB is

JEE Main 2013 Question Paper with Solutions - Question 75

A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1 %.
What is the fundamental frequency of steel if density and elasticity of steel are 7.7 × 103 kg/m3 and
2.2 × 1011N/m2 respectively?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 75

JEE Main 2013 Question Paper with Solutions - Question 76

This question has statement I and statement II. Of the four choices given after the statements, choose the
one that best describes the two statements.
Statement- I: Higher the range, greater is the resistance of ammeter.
Statement- II: To increase the range of ammeter, additional shunt needs to be used across it.

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 76

For Ammeter, S 

So for I to increase, S should decrease, so additional S can be connected across it.

JEE Main 2013 Question Paper with Solutions - Question 77

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass
M and radius R in a circular orbit at an altitude of 2R?

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JEE Main 2013 Question Paper with Solutions - Question 78

A projectile is given an initial velocity of   is along the ground and   is along the
vertical. If g = 10 m/s2, the equation of its trajectory is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 78

x = t
 y = 2t − 5t2
Equation of trajectory is y = 2x − 5x2

JEE Main 2013 Question Paper with Solutions - Question 79

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 :

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 79

120C1= 200C2

6C1= 10C2

3C1= 5C2

JEE Main 2013 Question Paper with Solutions - Question 80

A hoop of radius r and mass m rotating with an angular velocity ω0 is placed on a rough horizontal surface.
The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop
when it ceases to slip?

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 80

From conservation of angular momentum about any fix point on the surface

JEE Main 2013 Question Paper with Solutions - Question 81

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The
piston and cylinder have equal cross sectional area A. When the piston is in equilibrium, the volume of the
gas is V0 and its pressure is P0. The piston is slightly displaced from the equilibrium position and released.
Assuming that the system is completely isolated from its surrounding, the piston executes a simple
harmonic motion with frequency:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 81

JEE Main 2013 Question Paper with Solutions - Question 82

A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric
potential at the point O lying at a distance L from the end A is:

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 82

JEE Main 2013 Question Paper with Solutions - Question 83

A circular loop of radius 0.3 cm lies parallel to a much bigger circular loop of radius 20 cm. The centre of
the small loop is on the axis of the bigger loop. The distance between their centres is 15 cm. If a current of
2.0 A flows through the smaller loop, then the flux linked with bigger loop is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 83

JEE Main 2013 Question Paper with Solutions - Question 84

If a piece of metal is heated to temperature θ and then allowed to cool in a room which is at temperature
θ0 the graph between the temperature T of the metal and time t will be closest to :

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 84

The temperature goes on decreasing with time (non-linearly) The rate of decrease will be more initially which is depicted in the second graph.

JEE Main 2013 Question Paper with Solutions - Question 85

The I – V characteristic of an LED is

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 85

For LED, in forward bias, intensity increases with voltage

JEE Main 2013 Question Paper with Solutions - Question 86

This question has Statement I and Statement II. Of the four choices given after the Statements, choose the
one that best describes the two Statements.
Statement – I : A point particle of mass m moving with speed v collides with stationary point particle of
mass M. If the maximum energy loss possible is given as 

Statement – II : Maximum energy loss occurs when the particles get stuck together as a result of the
collision.

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 86

Loss of energy is maximum when collision is inelastic as in an inelastic collision there will be maximum deformation.

 

JEE Main 2013 Question Paper with Solutions - Question 87

The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s it
will decrease to α times its original magnitude, where α equals.

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 87

JEE Main 2013 Question Paper with Solutions - Question 88

Diameter of plano-convex lens is 6 cm and thickness at the centre is 3 mm. If speed of light in material of
lens is 2 × 108 m/s, the focal length of the lens is :

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 88

 

JEE Main 2013 Question Paper with Solutions - Question 89

The magnetic field in a travelling electromagnetic wave has a peak value of 20 nT. The peak value of
electric field strength is :

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 89

JEE Main 2013 Question Paper with Solutions - Question 90

Two short bar magnets of length 1 cm each have magnetic moments 1.20 Am2 and 1.00 Am2 respectively.
They are placed on a horizontal table parallel to each other with their N poles pointing towards the South.
They have a common magnetic equator and are separated by a distance of 20.0 cm. The value of the
resultant horizontal magnetic induction at the mid - point O of the line joining their centres is close to
(Horizontal component of earth’s magnetic induction is 3.6 × 10–5 Wb/m2)

Detailed Solution for JEE Main 2013 Question Paper with Solutions - Question 90

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