JEE Main Question Paper 2018 (Available): Check Previous Year Question Paper with Solution PDF (2024-2014)

JEE Main 2018 Questions

• 1.

  A particle is executing simple harmonic motion. Its amplitude is $A$ and time period is 5 sec . The time required by it to move from $x=A$ to $x=\frac{A}{\sqrt{2}}$ is ________ sec.

  • 1/4
  • 5/4
  • 5/8
  • 3/8
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• 2.

  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 :

  • \( \pi \)
    
  • \( 2\pi \)
  • \( 3\pi \)
  • \( 4\pi \)
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• 3.

  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$^2$.

  • $0.18$
    
  • $0.63$
    
  • $0.72$
    
  • $0.36$
    
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• 4.

  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 \(x\).

  • \(5\)
  • \(4\)
  • \(2\)
  • \(1\)
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• 5.

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

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