JEE Main 2022 Question Paper With Solution: Download PDF with Answer Key

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• 1.

  The number of numbers greater than $5000$, less than $9000$ and divisible by $3$, that can be formed using the digits $0,1,2,5,9$, if repetition of digits is allowed, is
  

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• 2.

  Four persons measure the length of a rod as 20.00 cm, 19.75 cm, 17.01 cm and 18.25 cm. The relative error in the measurement of average length of the rod is :

  • 0.24
  • 0.06
  • 0.18
  • 0.08
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• 3.

  The mass of iron converted into \(Fe_3O_4\) by the action of \(18\) g of steam is: (Given: Molar mass of H, O and Fe are \(1, 16\) and \(56\) g mol\(^{-1}\) respectively). Assume iron is present in excess.

  • \(2.1\) g
    
  • \(4.2\) g
    
  • \(21\) g
    
  • \(42\) g
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• 4.

  \(A + 2B \longrightarrow AB_2\)
  \(36.0\,\text{g}\) of \(A\) (Molar mass \(= 60\,\text{g mol}^{-1}\)) and \(56.0\,\text{g}\) of \(B\) (Molar mass \(= 80\,\text{g mol}^{-1}\)) are allowed to react. Which of the following statements are correct?
  [A.] \(A\) is the limiting reagent.
  [B.] \(77.0\,\text{g}\) of \(AB_2\) is formed.
  [C.] Molar mass of \(AB_2\) is \(140\,\text{g mol}^{-1}\).
  [D.] \(15.0\,\text{g}\) of \(A\) is left unreacted after completion of reaction. Choose the correct answer from the options given below:

  • A and B only
  • A and C only
  • B and D only
  • C and D only
    
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• 5.

  A uniform rod of mass m and length l suspended by means of two identical inextensible light strings as shown in figure. Tension in one string immediately after the other string is cut, is _______ (g = acceleration due to gravity).
  

  • mg/3
  • mg/2
  • mg/4
  • mg
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