JEE Main 2022 July 27 Shift 2 Question Paper with Solution PDF- Download Here

JEE Main Questions

• 1.

  Which of the following electronegativity order is incorrect?

  • Al \( <\) Mg \( <\) B \( <\) N
    
  • Al \( <\) Si \( <\) C \( <\) N
    
  • Mg \( <\) Be \( <\) B \( <\) N
    
  • S \( <\) Cl \( <\) O \( <\) F
    
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• 2.

  Let A and B be the two points of intersection of the line \( y + 5 = 0 \) and the mirror image of the parabola \( y^2 = 4x \) with respect to the line \( x + y + 4 = 0 \). If \( d \) denotes the distance between A and B, and \( a \) denotes the area of \( \Delta SAB \), where \( S \) is the focus of the parabola \( y^2 = 4x \), then the value of \( (a + d) \) is:

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• 3.

  The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least number of the bright fringes of 480 nm light that are required for the first coincidence with the bright fringes formed by 600 nm light is:

  • 4
    
  • 8
    
  • 6
    
  • 5
    
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• 4.

  A force of 49 N acts tangentially at the highest point of a sphere (solid of mass 20 kg) kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is:

  • \( 0.25 \, \text{m/s}^2 \)
    
  • \( 2.5 \, \text{m/s}^2 \)
    
  • \( 3.5 \, \text{m/s}^2 \)
    
  • \( 0.35 \, \text{m/s}^2 \)
    
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• 5.

  Two iron solid discs of negligible thickness have radii \( R_1 \) and \( R_2 \) and moment of inertia \( I_1 \) and \( I_2 \), respectively. For \( R_2 = 2R_1 \), the ratio of \( I_1 \) and \( I_2 \) would be \( \frac{1}{x} \), where \( x \) is:

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• 6.

  A body of mass 100 g is moving in a circular path of radius 2 m on a vertical plane as shown in the figure. The velocity of the body at point A is 10 m/s. The ratio of its kinetic energies at point B and C is: (Take acceleration due to gravity as 10 m/s\(^2\)) 
  

  • \( \frac{3 + \sqrt{3}}{2} \)
    
  • \( \frac{2 + \sqrt{3}}{3} \)
    
  • \( \frac{3 - \sqrt{2}}{2} \)
    
  • \( \frac{2 + \sqrt{2}}{3} \)
    
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