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Content Writer | Updated On - Jul 3, 2024
IIT JAM 2021 Question Paper with solutions PDF can be downloaded from the links provided below. Based on the pattern, 3 types of questions areΒ asked in paper i.e. MCQs, MSQs, and NAT. For a better understanding ofΒ these three types of questions, solve the question papers provided below.
IIT JAM 2021 Question Paper with Solution PDF
Paper Name | Question Paper with Solutions PDF |
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Biotechnology (BT) | Check Here |
Chemistry (CY) | Check Here |
Economics (EN) | Check Here |
Geology (GG) | Check Here |
Mathematics (MA) | Check Here |
Mathematical Statistics (MS) | Check Here |
Physics (PH) | Check Here |
IIT JAM 2021 Questions
1. The value of the line integral for the vector,
\(\overrightarrowπ£=2π₯Μ +π¦π§ ^2π¦Μ +(3π¦+π§ ^2 )π§Μ \)
along the closed path OABO (as shown in the figure) is:
(Path AB is the arc of a circle of unit radius)
\(\overrightarrowπ£=2π₯Μ +π¦π§ ^2π¦Μ +(3π¦+π§ ^2 )π§Μ \)
along the closed path OABO (as shown in the figure) is:
(Path AB is the arc of a circle of unit radius)
- \(\frac{1}{4}(3\pi-1)\)
- \(3\pi-\frac{1}{4}\)
- \(\frac{3\pi}{4}-1\)
- \({3\pi}-1\)
2. If the electric field of an electromagnetic wave is given by,
πΈβ = (4π₯Μ + 3π¦Μ)π π(ππ‘+ππ₯β600π¦)
then the value of a is: (all values are in the SI units)
πΈβ = (4π₯Μ + 3π¦Μ)π π(ππ‘+ππ₯β600π¦)
then the value of a is: (all values are in the SI units)
- 450
- --450
- 800
- β800
3. A vector field is expressed in the cylindrical coordinate system (s, Ο, z) as,
\(\overrightarrowπΉ=\frac{π΄}{π } π Μ+ \frac{π΅}{π } π§Μ. \)
If this field represents an electrostatic field, then the possible values of A and B, respectively, are:
\(\overrightarrowπΉ=\frac{π΄}{π } π Μ+ \frac{π΅}{π } π§Μ. \)
If this field represents an electrostatic field, then the possible values of A and B, respectively, are:
- 1 and 0
- 0 and 1
- β1 and 1
- 1 and β1
4. A plane electromagnetic wave is incident on an interface AB separating two media (refractive indices π1 = 1.5 and π2 = 2.0) at Brewster angle ππ΅, as schematically shown in the figure. The angle πΌ (in degrees) between the reflected wave and the refracted wave is:
- 120
- 116
- 90
- 74
5. A tank, placed on the ground, is filled with water up to a height β. A small hole is made at a height β1 such that β1 < β. The water jet emerging from the hole strikes
the ground at a horizontal distance D, as shown schematically in the figure. Which of the following statements is correct? (g is the acceleration due to gravity)
the ground at a horizontal distance D, as shown schematically in the figure. Which of the following statements is correct? (g is the acceleration due to gravity)
- Velocity at β1 is \(\sqrt{2πβ_1}\)
- π· = 2(β β β1)
- D will be maximum when β1 = \(\frac{2}{3}\) β
- The maximum value of D is h
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.
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