**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 2020 Exam details from below page.

**Highlights of IIT JAM 2020: **

Name of Conducting Body | Indian Institute of Technology, Kharagpur |

Name of Exam | Joint Admission Test for M.Sc |

Opening Date for IIT JAM Registration | 1st Week of September 2019 |

IIT JAM Online Registration Last Date | 2nd Week of October 2019 |

IIT JAM release | 1st Week of January 2020 |

IIT JAM Mock Test availability | 2nd Week of January 2020 |

IIT JAM 2020 Exam Date | 2nd Week of February 2020 |

IIT JAM Answer Key release | Last Week of February 2020 |

Announcement of IIT JAM Result | 3rd Week of March 2020 |

IIT JAM Score card availability | 1st Week of April 2020 |

Submission of application for IIT JAM Admission | 3rd Week of April 2020 |

Declaration of first admission list | 1st Week of June 2020 |

Official Website | jam.iitkgp.ac.in |

**IIT JAM Question Papers**

**IIT JAM Question Papers Download PDF:**

Name of Subject | 2019 | 2018 |

Biological Sciences (BL) | BL | BL |

Biotechnology (BT) | BT | BT |

Chemistry (CY) | CY | CY |

Geology (GG) | GG | CG |

Mathematics (MA) | MA | MA |

Mathematical Statistics (MS) | MS | MS |

Physics (PH) | PH | PH |

** **_

Subjects/ Year | 2017 | 2016 |

Biological Sciences (BL) | BL | BL |

Biotechnology (BT) | BT | BT |

Chemistry (CY) | CY | CY |

Geology (GG) | GG | GG |

Mathematics (MA) | MA | MA |

Mathematical Statistics (MS) | MS | MS |

Physics (PH) | PH | PH |

** **_

Subjects/ Year | 2015 | 2014 | 2013 |

Biological Sciences (BL) | BL | BL | BL |

Biotechnology (BT) | BT | BT | BT |

Chemistry (CY) | CY | CY | CY |

Geology (GG) | GG | GG | GG |

Mathematics (MA) | MA | MA | MA |

Mathematical Statistics (MS) | MS | MS | MS |

Physics (PH) | PH | PH | PH |

**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

- Have same number of valence electrons
- Have same magnitude of effective nuclear charge
- Have same magnitude of first ionization potential
- Are isoelectronic species

**Ans. 1, 4**

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

- If G is an infinite group then G/N is an infinite group
- If G is a nonabelian group then G/N is a nonabelian group
- If G is a cyclic group then G/N is an abelian group
- If G is an abelian group then G/N is a cyclic group

**Ans. 3**

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**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

- 293 Hz
- 586 Hz
- 1172 Hz
- 2344 Hz

**Ans. 3**

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

- Mars
- Uranus
- Venus
- Mercury

**Ans. 2**

**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?

- Non-random mating
- Gene flow
- Out-breeding within the population
- 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

- 0024 N
- 0032 N
- 004 N
- 006 N

**Ans. 3**

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**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

- V
- 2v
- 2 v
- 2

**Ans. 2**

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**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

- L
- 1 L
- 2 1 L
- 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)

- 100°C
- 278°C
- 0°C
- 6°C

**Ans. 4**

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**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-

- 487
- 470
- 467
- 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:

- 5
- 10
- 15
- 16

**Ans. 1**

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

- 3
- 9
- 1
- 7

**Ans.1**

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**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

- The total energy becomes zero
- The average momentum becomes zero
- The wave function becomes zero everywhere
- 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**

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

- There exists a subsequence of {xn} that diverges
- There may exist a subsequence of {xn} that is not monotone
- All subsequences of {xn} converge to the same limit
- 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

- can be
- Empty
- Singleton
- A finite set containing more than one element
- Countable but not finite

**Ans. 1**

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**How to Download IIT JAM Previous Question Papers?**

- To download the IIT JAM Sample Papers, candidates first visit the official site that is jam.iitkgp.ac.in
- Then on home page of official site select and hit “Question Papers and Ans.Key” tab.
- Then on next page, you need to hit the appropriate link for IIT JAM Previous Year Question Papers as per desirability.
- Now IIT JAM Question Papers PDF will be displayed on computer screen.
- Download IIT JAM Solved Papers on your desktop
- Take print out of IIT JAM Model Papers and start preparation accordingly.

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**IIT JAM Question Papers 2020 Download:**

For boosting your IIT JAM Preparations and enhancing your strategy skills, we have brought you a set of IIT JAM Sample Papers. They are a helpful tool for measuring performance, weak and strong areas. IIT JAM Previous Model Papers will also benefit you in gaining speed & precision required to score well in JAM 2020.

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