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# Part Test- 6 (JEE Main 2018)

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## 90 Questions MCQ Test | Part Test- 6 (JEE Main 2018)

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Part Test- 6 (JEE Main 2018) - Question 1

### A radioactive nuclide A decays to nuclide B which further decays to C. Their disintegration constant are λ1 and λ2 respectively. At t = 0 only nuclei A are present. Number of nuclei A at t = 0  is N0.

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 1

Part Test- 6 (JEE Main 2018) - Question 2

### An enclosure filled with helium is heated to a temperature of 400 K. Helium atom emerges out of the enclosure. The mean debroglie wavelength of the helium atoms is :

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Part Test- 6 (JEE Main 2018) - Question 3

### When a metallic surface is illuminated with monochromatic light of wavelength λ, the stopping potential is 5 V0. When the same surface is illuminated with light of wavelength 3λ, the stopping potential is V0. Then the work function of the metallic surface is :

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Part Test- 6 (JEE Main 2018) - Question 4

No. of identical photons incident on a perfectly black body of mass m kept at rest on smooth horizontal surface. Then the acceleration of the body if n number of photons incident per second is (Assume wavelength of photon to be λ) :

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Part Test- 6 (JEE Main 2018) - Question 5

If we assume that penetrating power of any radiation/particle is inversely proportional to wavelength of the particle then :

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Part Test- 6 (JEE Main 2018) - Question 6

Two radioactive sources A and B initially contain equal number of radioactive atoms. Source A has a half-life of 1 hour and source B has a half-life of 2 hours. At the end of 2 hours, the ratio of activity of source A to that of B is :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 6

Part Test- 6 (JEE Main 2018) - Question 7

The radionuclide 238U decays by emitting an alpha particle.

What is the maximum kinetic energy of the emitted alpha particle? Express your answer in Joule.

(1amu =1.67 x 10-27 kg)

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Part Test- 6 (JEE Main 2018) - Question 8

Choose the correct statement.

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Part Test- 6 (JEE Main 2018) - Question 9

A beam of electrons striking a copper target produces X-rays.Its spectrum is as shown. Keeping the voltage same if the copper target is replaced with a different metal, the cut-off wavelength and characteristic lines of the new spectrum will change in comparision with old as :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 9

Cut- off wavelength of emitted X-rays depends on maximum kinetic energy of incident electrons on the target and is independent of nature of target. The characteristic lines depend on nature of material of target.

Part Test- 6 (JEE Main 2018) - Question 10

Both the frequency and the intensity of a beam of light falling on the surface of photoelectric material are increased by a factor of two. This will :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 10

Part Test- 6 (JEE Main 2018) - Question 11

The photon radiated from hydrogen corresponding to 2nd line of Lyman series is absorbed by a hydrogen like atom ‘X’ in 2nd excited state. As a result the hydrogen like atom ‘X’ makes a transition to nth orbit. Then,

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Part Test- 6 (JEE Main 2018) - Question 12

The angular momentum of an electron in first orbit of Li++ ion is :

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Part Test- 6 (JEE Main 2018) - Question 13

An electron is accelerated through a potential difference of V volt. It has a wavelength λassociated with it. Through what potential difference must an electron be accelerated so that its de-Broglie wavelength is the same as that of a proton? Take mass of a proton to be 1837 times larger than the mass of electron.

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 13

Part Test- 6 (JEE Main 2018) - Question 14

Two hydrogen atoms are in excited state with electrons residing in n = 2. First one is moving towards left and emits a photon of energy E1 towards right. Second one is moving towards left with same speed and emits a photon of energy E2 towards left. Taking recoil of nucleus into account during emission process

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 14

Part Test- 6 (JEE Main 2018) - Question 15

In a hydrogen atom following the Bohr’s postulates the product of linear momentum and angular momentum is proportional to (n)x where ‘n’ is the orbit number. Then ‘x’ is :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 15

Part Test- 6 (JEE Main 2018) - Question 16

One of the lines in the emission spectrum of Li2+ has the same wavelength as that of the 2nd line of Balmer series in hydrogen spectrum. The electronic transition corresponding to this line is :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 16

Part Test- 6 (JEE Main 2018) - Question 17

The ratio of wave length of a photon of energy E and deBroglie wavelength of an electron of mass 'm' having the kinetic energy also E is : (Speed of light = c)

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Part Test- 6 (JEE Main 2018) - Question 18

An orbital electron in the ground state of hydrogen has an angular momentum L1 and an orbital electron in the first orbit in the ground state of lithium (double ionised positively charged) has an angular momentum L2 .Then :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 18

Part Test- 6 (JEE Main 2018) - Question 19

If in the first orbit of a hydrogen atom the total energy of the electron is -21.76 x 10-19J, then its electric potential energy will be :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 19

Part Test- 6 (JEE Main 2018) - Question 20

In an x - ray tube, if the accelerating potential difference is changed, then:

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 20

As the accelerating potential difference is changed only the minimum wavelength changes.
It has no effect on wavelengths of characteristic x-rays (whether they are produced or not)

Part Test- 6 (JEE Main 2018) - Question 21

All electrons ejected from a surface by incident light of wavelength 200 nm can be stopped before travelling 1 m in the direction of uniform electric field of 4 N/C. The work function of the surface is:

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 21

Part Test- 6 (JEE Main 2018) - Question 22

The energy ratio of two Kα  photons obtained in x-ray from two metal targets of atomic numbers Z1 and Z2 is:

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 22

The energy of Kα x-ray photons is directly propotional to (z-1)2.The energy ration of two Kα photons obtained in x-ray from two metal targets of atomic number z1 and z2 is

Part Test- 6 (JEE Main 2018) - Question 23

A cobalt (atomic no. = 27) target is bombarded with electrons, and the wavelengths of its characteristic x-ray spectrum are measured. A second weak characteristic spectrum is also found, due to an impurity in the target. The wavelengths of the Kα lines are 225.0 pm (cobalt) and 100.0 pm (impurity).  Atomic number of the impurity is (take b = 1)

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 23

Part Test- 6 (JEE Main 2018) - Question 24

A hydrogen atom is in the 4th excited state, then:

Part Test- 6 (JEE Main 2018) - Question 25

In the photoelectric experiment, if we use a monochromatic light, the I - V curve is as shown. If work function of the metal is 2eV, estimate the power of light used. (Assume efficiency of photo emission = 10–3%, i.e. number of photoelectrons emitted are 10–3% of number of photons incident on metal.)

Part Test- 6 (JEE Main 2018) - Question 26

If first excitation potential of a hydrogen like atom is V volt, then the ionization energy of this atom will be :

Part Test- 6 (JEE Main 2018) - Question 27

The element which has a ka  x-rays line of wavelength 1.8 Å is     (R =1.1 x 10m-1 , b=1 and   = 0.39)

Part Test- 6 (JEE Main 2018) - Question 28

The radii of nuclei of two atoms are in ratio 3/2 . Assuming them to be Hydrogen like atom, the ratio of their orbital radius for K shell will be (assume no. of proton = No. of neutron for each atom)

Part Test- 6 (JEE Main 2018) - Question 29

A radioactive nucleus can decay by either emitting an α particle or by emitting a β particle. Probability of α decay is 75% while that of β decay is 25%. The decayconstant of α  decay  is λ1 and that of b decay is λ2 .  is

Part Test- 6 (JEE Main 2018) - Question 30

A radioactive nucleus ' X ' decays to a stable nucleus ' Y '. Then the graph of rate of formation of ' Y' against time ' t ' will be :

Part Test- 6 (JEE Main 2018) - Question 31

Match column-I with column-II and select the correct answer using the codess given below :
Column-I (Metals)        Column-II (Ores)
(a) Tin                        (p) Calamine
(b) Zinc                      (q) Cassiterite
(c) Iron                       (r)  Cerrusite

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 31

(a) Tin-cassiterite,SnO2           (b)Zinc-calamine,ZnCO3                             (c) Iron-siderite,FeCO3                                      (d)Lead-Cerrusite,PbCO3                        Therefore ,(B) option is correct

Part Test- 6 (JEE Main 2018) - Question 32

Which is not a correct statement ?

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 32

Sulphide ore is roasted in presence of excess of air or O2 below its melting point to convert into the the oxide and to remove the impurities of S,P,Sb etc ,as their volatile oxides.In some cases roasting of certain sulphide ores provide directly the  metals.

Part Test- 6 (JEE Main 2018) - Question 33

Which metal is extracted using a hydrometallurgical process involving complexation ?

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Part Test- 6 (JEE Main 2018) - Question 34

Which of  the following acids is monobasic?

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Part Test- 6 (JEE Main 2018) - Question 35

ClO2 is the anhydride of :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 35

As it gives mixture of two acids ,HClO2 and HClO3,it is called as mixed anhydride of HClO2 and HClO3. 2ClO2 + H2O→HClO2 + HClO3

Part Test- 6 (JEE Main 2018) - Question 36

.... is obtained when ammonium dichromate is heated.

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Part Test- 6 (JEE Main 2018) - Question 37

In the Ostwald’s process, nitric acid is prepared by the catalytic oxidation of :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 37

Part Test- 6 (JEE Main 2018) - Question 38

The thermal stability of hydrides of oxygen family is in order :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 38

Down the group (H-E) bond dissociation enthalpy decreases as (H-E) bond length increases because of increase in size of cation.Thus thermal stability of hydrides also decreases.

Part Test- 6 (JEE Main 2018) - Question 39

Which of the following gaseous molecules is monoatomic ?

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 39

Noble gases exist as monoatomic molecules.

Part Test- 6 (JEE Main 2018) - Question 40

The transition elements have a general electronic configuration :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 40

General electronic configuration of transition elements is [Noble gas]

Part Test- 6 (JEE Main 2018) - Question 41

The stable oxidation state of Cr is :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 41

Cr3+ is most stable because in aqueous solution it has higher CFSE on account of half filled t32g energy level   of 3d orbitals in octahedral spliting.

Part Test- 6 (JEE Main 2018) - Question 42

Which of the following ions gives colourless aqueous solution?

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 42

Cu+ is diamagnetic with 3d10 configuration; so no d-d transition is possible and thus colourless.

Part Test- 6 (JEE Main 2018) - Question 43

The developer used in photography is an alkaline solution of :

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Part Test- 6 (JEE Main 2018) - Question 44

At 300ºC, FeCl3 :

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Part Test- 6 (JEE Main 2018) - Question 45

What is the charge on the complex [Cr(C2O4)2(H2O)2] formed by Cr(III) ?

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Part Test- 6 (JEE Main 2018) - Question 46

The correct IUPAC name for the compound [Co(NH3)4CI(ONO)]Cl is :

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Part Test- 6 (JEE Main 2018) - Question 47

EAN of a metal carbonyl M(CO)x is 36. If atomic number of metal M is 26, what is the value of x ?

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 47

Part Test- 6 (JEE Main 2018) - Question 48

Which one of the following complexes produces three moles of silver chloride when its one mole is treated with excess of silver nitrate ?

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 48

(D) As 3 mole of Cl- are present outside the coordination sphere i.e. in ionisation sphere so according to the following reaction, 3Cl- + 3Ag+→3AgCl ,one mole of complex will give three moles of AgCl precipitate.

Part Test- 6 (JEE Main 2018) - Question 49

Which statement is incorrect ?

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 49

Part Test- 6 (JEE Main 2018) - Question 50

Which has maximum paramagnetic nature ?

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 50

contains maximum number of unpaired electrons i.e five.so it has the maximum paramagnetic character.

Part Test- 6 (JEE Main 2018) - Question 51

Which one of the following complexes has highest stability ?

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 51

It is a chelate complex having three five-membered rings.It attains extra stability through chelation.

Part Test- 6 (JEE Main 2018) - Question 52

[Co(NH3)5NO2]Cl2 and [Co(NH3)5ONO]Cl2 are related to each other as :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 52

Part Test- 6 (JEE Main 2018) - Question 53

When a mixture of solid NaCl, solid K2Cr2O7 is heated with concentrated H2SO4, deep red vapours are obtained. This is due to the formation of :

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Part Test- 6 (JEE Main 2018) - Question 54

Precipitate of PbSO4 is soluble in :

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Part Test- 6 (JEE Main 2018) - Question 55

Nitrate is confirmed by ring test. The brown colour of the ring is due to formation of :

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Part Test- 6 (JEE Main 2018) - Question 56

Nessler’s reagent is :

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Part Test- 6 (JEE Main 2018) - Question 57

In which of the pair the precipitates are red and black coloured respectively and both are soluble in excess KI solution ?

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 57

(soluble colourless complex);   (soluble orange complex).

Part Test- 6 (JEE Main 2018) - Question 58

The solution of sodium meta aluminate on diluting with water and then boiling with ammonium chloride gives:

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 58

Hydroxide ion concentration is reduced owing to the formation of ammonia(a weak base) which escapes on boiling.

Part Test- 6 (JEE Main 2018) - Question 59

Precipitate of Zn(OH)2 is soluble in :

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Part Test- 6 (JEE Main 2018) - Question 60

If crimson flame is given when an inorganic mixture is tested by flame test. It may be due to the presence of

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 60

Part Test- 6 (JEE Main 2018) - Question 61

ABCD is a parallelogram and L and M are mid-points of BC and CD.Then

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 61

Part Test- 6 (JEE Main 2018) - Question 62

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Part Test- 6 (JEE Main 2018) - Question 63

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Part Test- 6 (JEE Main 2018) - Question 64

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Part Test- 6 (JEE Main 2018) - Question 65

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Part Test- 6 (JEE Main 2018) - Question 66

The angle between the planes 2x + y + 3z = 0 and 5x + 11y – 7z = 0 is

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 66

Part Test- 6 (JEE Main 2018) - Question 67

The graph of the equation y2 + z2 = 0 in three dimensional space is

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 67

Part Test- 6 (JEE Main 2018) - Question 68

Centroid of the tetrahedron OABC (where A = (a, 2, 3), B = (1, b, 2) , C = (2, 1 , c) and O is the origin) is (1, 2, 3) the value of a2 + b2 + c2 is equal to

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 68

Part Test- 6 (JEE Main 2018) - Question 69

If a plane meets co-ordinate axes in A, B, C such that the centroid of the triangle is (1, k, k2) then equation of the plane is

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Part Test- 6 (JEE Main 2018) - Question 70

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 70

Part Test- 6 (JEE Main 2018) - Question 71

Matrix A is of m × (m + 5) type, matrix B is of n × (11 – n) type. If AB and BA exists then value of m + n is

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 71

Part Test- 6 (JEE Main 2018) - Question 72

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 72

Part Test- 6 (JEE Main 2018) - Question 73

If a1, a2, a,.............,an all are real number with a1  0 and are in A.P then the system of equations has

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 73

Part Test- 6 (JEE Main 2018) - Question 74

If a square matrix A satisfies polynomial equation x3 – 5x2 + 4x + k = 0 , then A–1 exists if

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Part Test- 6 (JEE Main 2018) - Question 75

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Part Test- 6 (JEE Main 2018) - Question 76

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Part Test- 6 (JEE Main 2018) - Question 77

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Part Test- 6 (JEE Main 2018) - Question 78

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 78

Part Test- 6 (JEE Main 2018) - Question 79

The coefficient of a quadratic equation ax2 + bx + c = 0 (a, b and c are different) are chosen from first three prime number, the probability that roots of the equation are real is

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 79

First three prime numbers are (2,3,5) so they can be arranged in total 3! ways over three places, n(s)=3!.Roots are real only if (2,5,3) or (3,5,2) are the arrangements so,n(A)=2 P(A)=2/6=1/3

Part Test- 6 (JEE Main 2018) - Question 80

Two dice are rolled one after another. The probability that the number on the first is less than or equal to the number on the second is.

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 80

Part Test- 6 (JEE Main 2018) - Question 81

A boy is throwing stones at a target. The probability of hitting the target at any trial is 1/2 . The probability of hitting the target 5th time at the 10th throw is

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 81

In the 10th throw he hit 5th time if in first 9 throws he hit 4 times and miss 5 times and in 10th throw he hits so if H = Event of hitting then required probability will be

Part Test- 6 (JEE Main 2018) - Question 82

Consider the circuit  If the probability that each switch is closed is P,then the probability of current flowing through AB is

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Part Test- 6 (JEE Main 2018) - Question 83

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 83

Part Test- 6 (JEE Main 2018) - Question 84

The probability that a particular day in the month of July is a rainy day is 3/4. Two person whose credibility are 4/5 and 2/3respectively claim that 15th July  was a rainy day. The probability that it is a rainy day.

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Part Test- 6 (JEE Main 2018) - Question 85

If A and B are two events such that P(A) = 1/2 and P(B) = 2/3 , then

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Part Test- 6 (JEE Main 2018) - Question 86

The co-ordinates of the point where the line joining P(3, 4, 1) and Q(5, 1, 6) crosses the xy-plane are

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Part Test- 6 (JEE Main 2018) - Question 87

The direction ratios of a normal to the plane through (1, 0, 0), (0,1, 0), which makes an angle of  π/4 with the plane x + y = 3 are :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 87

Part Test- 6 (JEE Main 2018) - Question 88

The reflection of the point (2, –1, 3) in the plane 3x – 2y – z = 9 is :

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 88

Part Test- 6 (JEE Main 2018) - Question 89

The plane ax + by + cz = d, meets the coordinate axes at the points A, B and C respectively. Area of triangle ABC is equal to

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 89

Part Test- 6 (JEE Main 2018) - Question 90

Equation of plane which passes through the point of intersection of lines  and    and at greatest distance from the point (0, 0, 0) is:

Detailed Solution for Part Test- 6 (JEE Main 2018) - Question 90

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