Part Test - 10 (JEE Main 2018)


90 Questions MCQ Test | Part Test - 10 (JEE Main 2018)


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This mock test of Part Test - 10 (JEE Main 2018) for JEE helps you for every JEE entrance exam. This contains 90 Multiple Choice Questions for JEE Part Test - 10 (JEE Main 2018) (mcq) to study with solutions a complete question bank. The solved questions answers in this Part Test - 10 (JEE Main 2018) quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Part Test - 10 (JEE Main 2018) exercise for a better result in the exam. You can find other Part Test - 10 (JEE Main 2018) extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index
of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an
instant, when the ball is 12.8 m above the water surface, the fish sees the speed of ball as-

Solution:

QUESTION: 2

A ray of unpolarised light is incident on a glass plate at the polarising angle 57º. Then -

Solution:

polarization by refraction.

QUESTION: 3

Two identical charged spheres suspended from a common point by two massless strings of length l
are initially a distance d(d<<1) apart because of their mutual repulsion. The charge begins to leak
from both the spheres at a constant rate. As a result the charges approach each other with a
velocity v. Then as a function of distance x between them,

Solution:

QUESTION: 4

C = 8μF capacitor is charged to V0 = 120 volt. The charging battery is then removed and the capacitor is connected to a series combination of two uncharged capacitor of 4 μF each. The ratio of
final energy stored in 8μF capacitor and each 4μF capacitor is-

Solution:

QUESTION: 5

The current I and potential difference between X and Y as VXY are:

Solution:

QUESTION: 6

A particle (q, m) enter a  with velocity v, find derivation path of particle (Magnetic field is in
circular region and its direction is –ve z)

Solution:

QUESTION: 7

Two identical wires A and B have the same length L and carry the same current I. Wire A is bent into a
circle of radius R and wire B is bent to form a square of side a. If B1 and B2 are the values of magnetic
induction at the centre of the circle and the centre of the square respectively, then the ratio of B1/B2 is:

Solution:

QUESTION: 8

An electron is confined to a tube of length L. The electron’s potential energy in one half of the tube is zero, while the potential energy in the other half is 10 eV. If the electron has a total energy E =15 eV, then the ratio of the de-Broglie wavelength of the electron in the 10 eV region of the tube to that in the other half is -

Solution:

QUESTION: 9

The cathode of a photoelectric cell is changed such that the work function changes from W1 to W2
(W2 > W1). If the current before and after changes are I1 and I2 all other conditions remaining
unchanged, then (assuming hv > W2) -

Solution:

Theory Photocurrent depends on intensity of
light (intensity is same in both cases)

QUESTION: 10

The current through an ideal PN junction shown in the following circuit diagram will be -

Solution:

QUESTION: 11

In YDSE experiment, intensity at some point on central fringe is 1/4th of the maximum intensity
then angular position of this point is (d : separation between the slits & λ is the wavelength of light)

Solution:

QUESTION: 12

A plastic disc of radius R has a charge q uniformly distributed over its surface. If the disc is rotated
with a frequency f about its axis, then the magnetic induction at the centre of the disc is given by:

Solution:

Magnetic field at centre of element

QUESTION: 13

Two stretched membranes of areas 2 and 3 m2 are placed in a liquid at the same depth. The ratio of the pressure on them is -

Solution:

Pressure on the membrance does not depend
on the area of the membrane.

QUESTION: 14

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface, the radius of this circle in cm is-

Solution:

QUESTION: 15

A body cools in surrounds of temperature θ0. It’s temperature is plotted against t. Tangent drawn
at point P & Q then-

Solution:

QUESTION: 16

Under the action of a force a 2kg mass moves such that its position x as a function of time is given by
x = t3/3 where x is in metres and t in seconds. The work done by the force in first two seconds is-

Solution:

QUESTION: 17

A and B are two points on a uniform metal ring of centre C. The angle ACB = θ. A and B are maintained at two different constant temperature. When θ = 180º, the rate of total heat flow from A to B is 1.2 W. When θ = 90ºC this rate will be-

Solution:

QUESTION: 18

An electron is moving in a circular orbit of radius R with an angular acceleration α. At the centre of the orbit is kept a conducting loop of radius r, (r << R). The e.m.f., induced in the smaller loop due to the motion of the electron is -

Solution:

QUESTION: 19

When temperature of a body increases from t to t + Δt, its moment of inertia increases from I to I+ ΔI. Coefficient of linear expansion of the body is α, then ΔI/I  is equal to-

Solution:

QUESTION: 20

Tow smooth cylindrical bars weighing W N each lie next to each other in contact. A similar third bar is placed over the two bars as shown in figure. Neglecting friction, the horizontal force on each lower bar necessary to keep them together is

Solution:

QUESTION: 21

A uniform rod of length L and mass M lies on a frictionless table is free to move on the table. A particle of mass m moving with velocity u collides elastically with the rod at a distance L/3 from its centre and comes to
rest immediately after collision. The ratio M/m is 

Solution:

QUESTION: 22

Two blocks each of mass m are connected to a spring of spring constant k. If both are given velocity v in opposite directions, then the maximum elongation of the spring is :

Solution:

QUESTION: 23

The moment of inertia of a uniform rod of mass M and length L about an axis through centre and
perpendicular to length L is given by ML2/12. Now, consider one such rod pivoted at its centre free
to rotate in a vertical plane. The rod is at rest in the vertical position. A bullet of mass M moving
horizontally at a speed u strikes and gets embedded in one end of the rod. The angular velocity ω
of the rod after collision will be :

Solution:

QUESTION: 24

A body travelling along a straight line traversed one-third of the total distance with a velocity v1. The
remaining part of the distance was covered with a velocity v2 for half the time and with velocity v3 for
the other half of time. The mean velocity averaged over the whole time of motion is :

Solution:

QUESTION: 25

Let g be acceleration due to gravity on the surface of the earth and KR be the rotational kinetic energy
of the earth. Suppose the earth’s radius decreases by 2%, keeping all other quantities same (even ω) :

Solution:

QUESTION: 26

Three particles A, B and C are thrown from the top of a tower with the same speed. A is thrown up,
B is thrown down and C is thrown horizontally. They hit the ground with speeds vA, vB and vC
respectively :
 

Solution:

QUESTION: 27

The potential energy of a particle of mass m is given by U(x) = 
λ1 and λ2 are the de-Broglie wavelength of the particle, when 0  x  1 and x > 1 respectively if the
total energy of the particle is 2E0 the ratio of λ1 /λ2 will be -

Solution:

QUESTION: 28

The de-broglie wavelength of the electron in the second Bohr orbit is (given the radius of the first
orbit r1 = 0.53 Å)

Solution:

QUESTION: 29

Reading of the spring scale in figure is, if lift is moving vertically
upward with acceleration g/2

Solution:

QUESTION: 30

The masses and the radii of earth and moon are respectively Me, Re and Mm, Rm. The distance between
the centres is r. At what minimum velocity a particle of mass m be projected from the mid point of the
distance between their centres so that it may escape into space ?

Solution:

QUESTION: 31

Among Al2O3, SiO2, P2O3 and SO2 the correct order of acid strength is :

Solution:

Acid strength of oxide increases from left to
right in a P.T. because electronegativity increases,hence the order of acid strength will be Al2O3 < SiO2 < P2O3 < SO2

QUESTION: 32

Ce3+, La3+, Pm3+ and Yb3+ have ionic radii in the increasing order as –

Solution:

Order of ionic radius Yb3+ < Pm3+ < Ce3+ < La3+

QUESTION: 33

Which one of the following sets of ions represents the collection of isoelectronic species ?

Solution:

QUESTION: 34

Which one of the following arrangements represents the correct order of electron gain enthalpy (with negative sign) of given atomic species ?

Solution:

QUESTION: 35

Consider the following reaction 

Which of the following base will give the best yield of the alkene II as the major product -

Solution:

Bulky base will give the less stable product

QUESTION: 36

1-Butyne on reaction with hot alkaline KMnO4 gives -

Solution:

QUESTION: 37

In [Cr(O2)(NH3)4 (H2O)] Cl2 oxidation number of Cr is + 3, then O2 will be in the form :

Solution:

QUESTION: 38

An example of redox process is –

Solution:

QUESTION: 39

The ionic radii of N-3, O-2 and Fare respectively given by -

Solution:

QUESTION: 40

Which of the compound is least soluble in water

Solution:

QUESTION: 41

Electrophile   attacks the following 

In which cases  will be meta-position :

Solution:

QUESTION: 42

 electrophilic substitution occurs at

Solution:

QUESTION: 43

Which most readily reacts with AgNO3 to give ppt.:

Solution:

QUESTION: 44

Which nitrogen in LSD is most basic

Solution:

QUESTION: 45

Solution:

 

QUESTION: 46

The IUPAC name of  is

Solution:

QUESTION: 47

The unit cell cube length for LiCl (just like NaCl structure) is 5.14 Å. Assuming anion-anion contact,
the ionic radius for chloride ion is-

Solution:

QUESTION: 48

If one strand of DNA has the nitrogenous base sequence 3´-ATGCTTGA-5´ the sequence in the
complementary strand will be:

Solution:

Fact Based

QUESTION: 49

In vulcanisation of rubber-

Solution:

Fact Based

QUESTION: 50

Which of the following is the most stable conformer

Solution:

QUESTION: 51

Hydrogenation of vegetable ghee at 25ºC reduces pressure of H2 from 2 atm to 1.2 atm in 50 minute.
The rate of reaction in terms of molarity per second is -

Solution:

QUESTION: 52

A reaction obeys zero order. The time required to decompose 50 g out of 100 g of the reactant A is 10
minute. Calculate the time required when half of the reactant A is decomposed if its initial mass is 200 g :

Solution:

QUESTION: 53

Hydrazine reacts with KIO3 in presence of HCl as,
N2H+ IO3- + 2H+ + Cl- → ICI + N2 + 3H2O
The equivalent masses of N2H4 and KIO3 respectively are : (K = 39, I = 127)

Solution:

QUESTION: 54

In an experiment, 50 ml of 0.1 M solution of a metallic salt reacted exactly with 25 ml of 0.1 M solution
of sodium sulphite (Na2SO3) In the reaction SO3-2 is oxidised to SO4-2, if the original oxidation number
of metal in the salt was 3, what would be the new oxidation number of the metal?

Solution:

QUESTION: 55

Consider a voltaic cell based on these half-cells
Ag+ (aq) + e→ Ag(s); Eº = +0.80 V
Cd2+ (aq) + 2e- → Cd(s); Eº = –0.40 V
Identify the anode and give the voltage of the cell under standard conditions -

Solution:

QUESTION: 56

Total vapour pressure of mixture of 1 mol volatile component A(pºA = 100 mmHg) and 3 mol of volatile component B (pºB = 60 mmHg) is 75 mm. For such case -

Solution:

QUESTION: 57

Consider the plots, given below, for the type of reaction  nA → B + C  

These plots respectively corresponds to the reaction order

Solution:

QUESTION: 58

A compound is formed by elements A and B. This crystallizes in the cubic structure when atoms A are at the
corners of the cube and atoms B are at the centre of the body. The simplest formula of the compound is :

Solution:

QUESTION: 59

Solution:

Alkenes are more reactive than alkynes towards electrophilic reaction

QUESTION: 60

Solution:

Francis experiment and CAT

QUESTION: 61

If g(x) = 1 + 3√x  then a function f such that f(g(x)) = 3 – 3√x + x is -

Solution:

QUESTION: 62

If α and β are the roots of the quadratic equation ax2 + bx + c = 0, then

Solution:

QUESTION: 63

  is discontinuous at x is equal to -

Solution:

QUESTION: 64

Solution:

 Do yourself

QUESTION: 65

Solution:

QUESTION: 66

Solution:

QUESTION: 67

A line passing through P(4, 2) meets the x and y-axis at A and B respectively. If O is the origin,
then locus of the centre of the circumcircle of ΔOAB is -

Solution:

QUESTION: 68

The equation of the image of the circle (x – 3)2 + (y – 2)2 = 1 by the mirror x + y = 19 is -

Solution:

QUESTION: 69

The vertex of the parabola whose focus is (–1, 1) and directrix is 4x + 3y – 24 = 0 is

Solution:

QUESTION: 70

The foci of the ellipse
25 (x + 1)2 + 9(y + 2)2 = 225, are at

Solution:

QUESTION: 71

Solution:

QUESTION: 72

The plane through the lines 

Solution:

QUESTION: 73

If (a, a2) falls inside the angle made by the lines y = x/2, x > 0 and y = 3x, x > 0, then a belongs to

Solution:

QUESTION: 74

The equation of two equal sides of an isosceles triangle are 7x – y + 3 = 0 and x + y – 3 = 0 and its
third side is passes through the point (1, –10). The equation of the third side is

Solution:

QUESTION: 75

If tangent at any point of the curve y = x3 + λx2 + x + 5 makes acute angle with x-axis, then

Solution:

QUESTION: 76

Number of ordered pairs (a, x) satisfying the equation sec2 (a + 2) x + a2 – 1 = 0;–π < x < π is-

Solution:

QUESTION: 77

The number of values of x in [0, 5π] satisfying the equation 3cos 2x – 10cos x + 7 = 0 are-

Solution:

QUESTION: 78

If g : [–2, 2] → R where   is a odd function then the value of p where [ ] represent G.I.F.-

Solution:

QUESTION: 79

If |z + 2i|  1, then greatest and least value of |z– √3 + i| are-

Solution:

QUESTION: 80

Let a matrix 

Solution:

QUESTION: 81

If cos A = m cos B, then-

Solution:

QUESTION: 82

The number of values of x in [0, 5π] satisfying the equation 3cos 2x – 10cos x + 7 = 0 are-

Solution:

QUESTION: 83

Solution:

QUESTION: 84

ABCD is a square plot. The angle of elevation of the top of a pole standing at D from A or C is 30º and that from B is θ, then tan θ is equal to 

Solution:

QUESTION: 85

If z be anly point on circle |z – 1| = 1 then  =

Solution:

QUESTION: 86

If positive numbers a, b, c are in HP and c > a, then log (a + c) + log (a – 2b + c) is equal to -

Solution:

QUESTION: 87

How many numbers lying between 999 and 10000 can be formed with the help of the digit 0, 2, 3,
6, 7, 8 when the digit are not be repeated ?

Solution:

QUESTION: 88

The records of a hospital show that 10% of the cases of a certain disease are fatal. If 6 patients
are suffering from the disease, then the probability that only three will die, is -

Solution:

QUESTION: 89

Statement type Questions :
Each of the questions given below consists of Statement-I and Statement-II. Use the following
Key to choose the appropriate answer.
(A) Statement-I is true, Statement-II is true; Statement-II is a correct explanation for
Statement-I
(B) Statement-I is true, Statement-II is true; Statement-II is not a correct explanation for
Statement -1.
(C) Statement-I is true, Statement-II is false.
(D) Statement-I is false, Statement-II is true.

Statement-I: The variance of first n even natural numbers is .

Statement-II: The sum of first n natural numbers is   and the sum of squares of first n
natural numbers is  .

Solution:

QUESTION: 90

Statement type Questions :
Each of the questions given below consists of Statement-I and Statement-II. Use the following
Key to choose the appropriate answer.
(A) Statement-I is true, Statement-II is true; Statement-II is a correct explanation for
Statement-I
(B) Statement-I is true, Statement-II is true; Statement-II is not a correct explanation for
Statement -1.
(C) Statement-I is true, Statement-II is false.
(D) Statement-I is false, Statement-II is true.

Statement I: cot θ – tan θ = 2, then θ = (4n + 1)π/8

Statement II : sin 2x + cos2x + sinx + cos x +1 = 0 has no solution in the Ist quadrant.

Solution:

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