JEE Main Question Paper 2020 (Available): Check Previous Year Question Paper with Solution PDF (2024-2014)

JEE Main 2020 Questions

• 1.

  The sum of all possible values of \( \theta \in [0,2\pi] \), for which the system of equations : \[ x\cos3\theta - 8y - 12z = 0 \] \[ x\cos2\theta + 3y + 3z = 0 \] \[ x + y + 3z = 0 \] has a non-trivial solution, is equal to :

  • \( \pi \)
    
  • \( 2\pi \)
  • \( 3\pi \)
  • \( 4\pi \)
  View Solution

  ---

• 2.

  A solid sphere of mass $5$ kg and radius $10$ cm is kept in contact with another solid sphere of mass $10$ kg and radius $20$ cm. The moment of inertia of this pair of spheres about the tangent passing through the point of contact is ___________ kg$\cdot$m$^2$.

  • $0.18$
    
  • $0.63$
    
  • $0.72$
    
  • $0.36$
    
  View Solution

  ---

• 3.

  Two wires \(A\) and \(B\) made of different materials have lengths \(6.0\) cm and \(5.4\) cm, and areas of cross-sections \(3.0\times10^{-5}\,\text{m}^2\) and \(4.5\times10^{-5}\,\text{m}^2\), respectively. They are stretched by the same magnitude under the same load. If the ratio of Young’s modulus of \(A\) to that of \(B\) is \(x:3\), find the value of \(x\).

  • \(5\)
  • \(4\)
  • \(2\)
  • \(1\)
  View Solution

  ---

• 4.

  For a transparent prism, if the angle of minimum deviation is equal to its refracting angle, the refractive index \(n\) of the prism satisfies:

  • \(\sqrt{2}<n<2\)
    
  • \(\sqrt{2}<n<2\sqrt{2}\)
    
  • \(n\ge 2\)
    
  • \(1<n<2\)
  View Solution

  ---

• 5.

  Which logic gate is given in the figure?
  

  

  • XOR
  • NOR
  • NAND
  • OR
    
  View Solution