JEE Main Question Paper 2016 (Available): Check Previous Year Question Paper with Solution PDF (2024-2014)

4ADFK1

• 1.

  The temperature at which the rate constants of the given below two gaseous reactions become equal is ____________ K (Nearest integer). 
  \[ X \longrightarrow Y, \qquad k_1 = 10^{6} e^{-\frac{30000}{T}} \] \[ P \longrightarrow Q, \qquad k_2 = 10^{4} e^{-\frac{24000}{T}} \] Given: \( \ln 10 = 2.303 \)

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• 2.

  For two identical cells each having emf \(E\) and internal resistance \(r\), the current through an external resistor of \(6\,\Omega\) is the same when the cells are connected in series as well as in parallel. The value of the internal resistance \(r\) is ________ \(\Omega\).

  • \(9\)
  • \(3\)
  • \(6\)
  • \(4\)
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• 3.

  Let \( \vec{a} = 2\hat{i} - \hat{j} + \hat{k} \) and \( \vec{b} = \lambda \hat{j} + 2\hat{k} \), where \( \lambda \in \mathbb{Z} \), be two vectors. Let \( \vec{c} = \vec{a} \times \vec{b} \) and \( \vec{d} \) be a vector of magnitude \(2\) in the \(yz\)-plane. If \( |\vec{c}| = \sqrt{53} \), then the maximum possible value of \( (\vec{c}\cdot\vec{d})^2 \) is equal to

  • 26
  • 208
  • 104
  • 52
    
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• 4.

  The volume of an ideal gas increases \( 8 \) times and the temperature becomes \( \frac{1}{4} \) of the initial temperature during a reversible change.
  
  If there is no exchange of heat in this process \( (\Delta Q = 0) \), then identify the gas from the following options (assuming the gases given in the options are ideal gases):
  

  • He
    
  • O$_2$
    
  • CO$_2$
    
  • NH$_3$
    
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• 5.

  The wavelength of light while it is passing through water is \(540\,\text{nm}\). The refractive index of water is \( \frac{4}{3} \). The wavelength of the same light when it is passing through a transparent medium having refractive index of \( \frac{3}{2} \) is _________ nm.

  • \(480\)
  • \(840\)
  • \(380\)
  • \(540\)
    
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