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IIT JAM 2021 Question Papers: Download Previous Year Question Paper with Solutions

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Farjana Basir

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
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,
\(\overrightarrow𝑣=2π‘₯Μ‚ +𝑦𝑧 ^2𝑦̂ +(3𝑦+𝑧 ^2 )𝑧̂ \)
along the closed path OABO (as shown in the figure) is: 
the line integral for the vector-along the closed path OABO
(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,
    𝐸⃗ = (4π‘₯Μ‚ + 3𝑦̂)𝑒 𝑖(πœ”π‘‘+π‘Žπ‘₯βˆ’600𝑦) 
    then the value of a is: (all values are in the SI units)

      • 450
      • --450
      • 800
      • βˆ’800

      3.
      A vector field is expressed in the cylindrical coordinate system (s, Ο•, z) as,
      \(\overrightarrow𝐹=\frac{𝐴}{𝑠} 𝑠̂+ \frac{𝐡}{𝑠} 𝑧̂. \)
      If this field represents an electrostatic field, then the possible values of A and B, respectively, are:

        • 1 and 0
        • 0 and 1
        • βˆ’1 and 1
        • 1 and βˆ’1

        4.
        A plane electromagnetic wave is incident on an interface AB separating two media (refractive indices 𝑛1 = 1.5 and 𝑛2 = 2.0) at Brewster angle πœƒπ΅, as schematically shown in the figure. The angle 𝛼 (in degrees) between the reflected wave and the refracted wave is:
        A plane electromagnetic wave

          • 120
          • 116
          • 90
          • 74

          5.
          A tank, placed on the ground, is filled with water up to a height β„Ž. A small hole is made at a height β„Ž1 such that β„Ž1 < β„Ž. The water jet emerging from the hole strikes
          A tank, placed on the ground
          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 β„Ž1 is \(\sqrt{2π‘”β„Ž_1}\)
            • 𝐷 = 2(β„Ž βˆ’ β„Ž1)
            • D will be maximum when β„Ž1 = \(\frac{2}{3}\) β„Ž
            • 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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