# IIT JAM Question Papers

Practicing through IIT JAM Question Papers can help you in scoring well in examination. IIT JAM Previous Year Question Papers PDF is available here to download for convenience of applicants. IIT JAM Previous Year Papers aid applicants identify the important topics and the weightage of marks. Check IIT JAM 2021 Exam details from below page.

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Highlights of IIT JAM 2021:

 Name of Conducting Body Indian Institute of Technology, Kharagpur Name of Exam Joint Admission Test for M.Sc IIT JAM 2021 Exam Date 14th February 2021 Official Website jam.iisc.ac.in

JAM 2021 Examination Test Schedule:

 Examination Date Session & Time Test Papers and Codes February 14, 2021 (Sunday) Session I; Morning Biotechnology (BT), Mathematical Statistics (MS) and Physics (PH) Session II: Afternoon Chemistry (CY), Economics (EN), Geology (GG), and Mathematics (MA)

## IIT JAM Question Papers

IIT JAM Biotechnology Question Paper:

 Year Biotechnology (BT) 2020 BT2020 2019 BT2019 2018 BT2018 2017 BT2017 2016 BT2016

IIT JAM Chemistry Question Paper:

 Year Chemistry (CY) 2020 CY2020 2019 CY2019 2018 CY2018 2017 CY2017 2016 CY2016

IIT JAM Geology Question Paper:

 Year Geology (GG) 2020 GG2020 2019 GG2019 2018 GG2018 2017 GG2017 2016 GG2016

IIT JAM Mathematics Question Paper:

 Year Mathematics (MA) 2020 MA2020 2019 MA2019 2018 MA2018 2017 MA2017 2016 MA2016

IIT JAM Mathematical Statistics Question Paper:

 Year Mathematical Statistics (MS) 2020 MS2020 2019 MS2019 2018 MS2018 2017 MS2017 2016 MS2016

IIT JAM Physics Question Paper:

 Year Physics (PH) 2020 PH2020 2019 PH2019 2018 PH2018 2017 PH2017 2016 PH2016

## IIT JAM Question Paper

Q.1 A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.

Ans. 10.5 to 11.5

Q.2 The common feature(s) of Rb +, Kr and Br − is/are that they

1. Have same number of valence electrons
2. Have same magnitude of effective nuclear charge
3. Have same magnitude of first ionization potential
4. Are isoelectronic species

Ans. 1, 4

Q.3 Supposeܰ is a normal subgroup of a group G. Which one of the following is true?

1. If G is an infinite group then G/N is an infinite group
2. If G is a nonabelian group then G/N is a nonabelian group
3. If G is a cyclic group then G/N is an abelian group
4. If G is an abelian group then G/N is a cyclic group

Ans. 3

Q.4 At room temperature, the speed of sound in air is 340 m/sec. An organ pipe with both ends open has a length L= 29 cm. An extra hole is created at the position L/2. The lowest frequency of sound produced is

1. 293 Hz
2. 586 Hz
3. 1172 Hz
4. 2344 Hz

Ans. 3

Q.5 Which amongst the following planets has the highest number of known satellites?

1. Mars
2. Uranus
3. Venus
4. Mercury

Ans. 2

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Q.6 In a large wild flower population, assume that no new mutations occur and that no natural selection operates. What factor(s) will affect the frequency of a genotype in this population?

1. Non-random mating
2. Gene flow
3. Out-breeding within the population
4. Invasion of a new pathogen that kills a large number of individuals in the population

Ans. 1,2,3,4

Q.7 An observer is located on a horizontal, circular turntable which rotates about a vertical axis passing through its center, with a uniform angular speed of 2 rad/sec. A mass of 10 grams is sliding without friction on the turntable. At an instant when the mass is at a distance of 8 cm from the axis, it is observed to move towards the center with a speed of 6 cm/sec. The net force on the mass, as seen by the observer at that instant, is

1. 0024 N
2. 0032 N
3. 004 N
4. 006 N

Ans. 3

Q.8 The power radiated by sun is 3.8 X 1026 and its radius is 7 X 105 km. The magnitude of the Pointing vector (in W/cm2) at the surface of the sun is ___________.

Ans. 6165 to 6180

Q.9 If a particle executes SHM with frequency v, its kinetic energy varies with a frequency

1. V
2. 2v
3. 2 v
4. 2

Ans. 2

Q.10 Consider a particle of mass m which is occupying any one of the energy eigenstates of a one-dimensional box of length L. The force exerted by the particle on the boundary walls is proportional to

1. L
2. 1 L
3. 2 1 L
4. 3 1 L

Ans.4

Q.11 The r.m.s speed of molecules in a sample of helium is 5/7th of that of the molecules of hydrogen. If the temperature of hydrogen sample is 0°C, the temperature of helium sample is – (nearest integer)

1. 100°C
2. 278°C
3. 0°C
4. 6°C

Ans. 4

Q.12 A heat pump working on the carnot’s cycle maintains the inside temperature of a house at 22°C by supplying 450 kJ/s. If the outside temperature is 0°C, then heat taken in kJ/s, from the outside air is approximately-

1. 487
2. 470
3. 467
4. 417

Ans. 4

Q.13 An electron is confined in a 1-D box of 1 nm long. How many energy levels are there with energy less than 10 eV is:

1. 5
2. 10
3. 15
4. 16

Ans. 1

Q.14 The angle between the angular momentum l = 2 and the z-axis for ml = 2 is:

1. 3
2. 9
3. 1
4. 7

Ans.1

Q.15 A particle is in a one-dimensional box with a potential V0 inside the box and infinite outside. An energy state corresponding to n = 0 (n: quantum number) is not allowed because

1. The total energy becomes zero
2. The average momentum becomes zero
3. The wave function becomes zero everywhere
4. The potential V 0

Ans. 3

Q.16 Let X and Y be independent exponentially distributed random variables with means 1/ 4 and 1/ 6 respectively. Let Z = min {X, Y}. Then E (Z) = __________.

Ans. 0.1 to 0.1

Q.17 Let X be a Geom (0.4) random variable. Then P (X=5|X >= 2) = ________

Ans. 0.086 to 0.087

Q.18 If a sequence {xn} is monotone and bounded, then

1. There exists a subsequence of {xn} that diverges
2. There may exist a subsequence of {xn} that is not monotone
3. All subsequences of {xn} converge to the same limit
4. There exist at least two subsequences of {xn} which converge to distinct limits

Ans. 2

Q.19 The number of distinct normal subgroups of S3 is ______________

Ans. 3 to 3

Q.20 Let A be a nonempty subset of R. Let I (A) denote the set of interior points of A. Then I

1. can be
2. Empty
3. Singleton
4. A finite set containing more than one element
5. Countable but not finite

Ans. 1

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