MHT CET 2026 April 19 Shift 1 Question Paper- Download PDF with Solutions

MHT CET Questions

• 1.

  The solubility product of \(PbCl_2\) at \(298\ \text{K}\) is \(3.2 \times 10^{-5}\). What is its solubility in \(\text{mol dm}^{-3}\)?

  • \(8 \times 10^{-6}\)
    
  • \(2 \times 10^{-2}\)
    
  • \(5.6 \times 10^{-3}\)
    
  • \(5 \times 10^{-2}\)
  View Solution

  ---

• 2.

  Identify \(Base_2\) for the following equation according to Brønsted-Lowry theory:
  \( HCl(aq) + H_2O(l) \rightleftharpoons H_3O^+(aq) + Cl^-(aq) \)

  • \( H_3O^+(aq) \)
    
  • \( H_2O(l) \)
    
  • \( Cl^-(aq) \)
    
  • \( HCl(aq) \)
  View Solution

  ---

• 3.

  The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

  • 1.5
    
  • 1.67
    
  • 1.4
    
  • 1.33
    
  View Solution

  ---

• 4.

  A uniform solid sphere of mass $M$ and radius $R$ is placed on a smooth horizontal surface. It is struck by a horizontal cue at a height $h$ above the center. For the sphere to roll without slipping immediately after the impact, the value of $h$ must be:

  • $\dfrac{R}{2}$
    
  • $\dfrac{2R}{5}$
    
  • $\dfrac{2R}{3}$
    
  • $\dfrac{3R}{5}$
    
  View Solution

  ---

• 5.

  If \( \sin x \cos x = \frac{1}{4} \), then the general solution is:

  • \( \dfrac{n\pi}{2} + (-1)^n \dfrac{\pi}{12} \)
    
  • \( \dfrac{n\pi}{2} + \dfrac{\pi}{4} \)
    
  • \( n\pi \pm \dfrac{\pi}{6} \)
    
  • \( \dfrac{n\pi}{2} + (-1)^n \dfrac{\pi}{6} \)
  View Solution

  ---

• 6.

  What happens to the resistance of a wire if its radius is halved?

  • It becomes half
    
  • It becomes double
    
  • It increases 4 times
    
  • It increases 16 times
  View Solution