JEE Main 2023 April 8 Shift 2 Question Paper with Solution PDF- Download Here

JEE Main Questions

• 1.

  Number of moles and number of molecules in 1.4187 L of SO₂ at STP respectively are
  

  • 0.1266; \(3.812 \times 10^{22}\)
    
  • 0.0633; \(3.812 \times 10^{22}\)
    
  • 0.1266; \(7.6238 \times 10^{22}\)
    
  • 0.0633; \(7.6238 \times 10^{22}\)
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• 2.

  In period 4 of the periodic table which elements have the lowest and highest atomic radii respectively?

  • K and Br
  • Na and Cl
  • K and Se
  • Rb and Br
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• 3.

  From the following, the least stable structure is:
  (Assume standard resonance structures)

  • 

  • 

  • 

  • 

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• 4.

  If \(a_1 = 1\) and for all \(n \ge 1\), \[ a_{n+1} = \frac{1}{2}a_n + \frac{n^2 - 2n - 1}{n^2 (n+1)^2}, \] then the value of \[ \sum_{n=1}^{\infty} \left( a_n - \frac{2}{n^2} \right) \] is equal to:

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• 5.

  Let $a_1,a_2,a_3,a_4$ be an A.P. of four terms such that each term of the A.P. and its common difference are integers. If $a_1+a_2+a_3+a_4=48$ and $a_1^2a_2a_3a_4+1^4=361$, then the largest term of the A.P. is equal to
  

  • 27
    
  • 23
    
  • 24
    
  • 21
    
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• 6.

  $2.8 \times 10^{-3}$ mol of CO$_2$ is left after removing $10^{21}$ molecules from its $x$ mg sample. The mass of CO$_2$ taken initially is: Given: $N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}$

  • 98.3 mg
  • 48.2 mg
  • 196.2 mg
  • 150.4 mg
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