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

JEE Main 2022 Questions

• 1.

  \(M_3A_2\) is a sparingly soluble salt of molar mass \(y \text{ g mol}^{-1}\) and solubility \(x \text{ g L}^{-1}\). The ratio of the molar concentration of the anion (\(A^{3-}\)) to the solubility product (\(K_{sp}\)) of the salt is:

  • \(\frac{1}{54} \frac{y^4}{x^4}\)
  • \(\frac{y^5}{108x^4}\)
  • \(108 \frac{x^5}{y^5}\)
  • \(\frac{1}{108}\frac{y^4}{x^4}\)
    
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• 2.

  If an alpha particle with energy 7.7 MeV is bombarded on a thin gold foil, the closest distance from nucleus it can reach is_____ m.
  (Atomic number of gold = 79 and \(\frac{1}{4\pi\epsilon_0}=9\times10^{9}\) SI units)

  • \(2.95 \times 10^{-16}\)
  • \(3.85 \times 10^{-14}\)
  • \(2.95 \times 10^{-14}\)
  • \(3.85 \times 10^{-16}\)
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• 3.

  The two projectiles are projected with the same initial velocities at the 15° and 30° with respect to the horizontal. The ratio of their ranges is 1:x. The value of \(x\) is
  

  • \(\sqrt{2}\)
    
  • \(\sqrt{3}\)
    
  • \(2\sqrt{5}\)
    
  • \(\frac{1}{\sqrt{2}}\)
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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.

  In the reaction, \[ 2\text{Al}(s) + 6\text{HCl}(aq) \rightarrow 2\text{Al}^{3+}(aq) + 6\text{Cl}^-(aq) + 3\text{H}_2(g) \]

  • $11.2$ L H$_2$(g) at STP is produced for every mole of HCl consumed.
    
  • $12.2$ L HCl$(aq)$ is consumed for every $6$ L H$_2$(g)$ produced.
    
  • $33.6$ L H$_2$(g) is produced regardless of temperature and pressure for every mole of Al that reacts.
    
  • $67.2$ L H$_2$(g) at STP is produced for every mole of Al that reacts.
    
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