MHT CET Question Paper 2021 (Available): Check Previous Year Question Paper with Solution PDF (2023-2015)

MHT CET 2021 Questions

• 1.

  Two charges of \( +2 \, \mu\text{C} \) and \( -2 \, \mu\text{C} \) are placed 1 meter apart. What is the force between them?

  • \( 9 \times 10^9 \, \text{N} \)
    
  • \( 18 \times 10^9 \, \text{N} \)
    
  • \( 4 \times 10^9 \, \text{N} \)
    
  • \( 0 \, \text{N} \)
    
  View Solution

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• 2.

  Given the equation: \[ 81 \sin^2 x + 81 \cos^2 x = 30 \] Find the value of \( x \).

  • \( x = \frac{\pi}{4} \)
  • \( x = \frac{\pi}{6} \)
  • \( x = \frac{\pi}{3} \)
  • \( x = \frac{\pi}{2} \)
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• 3.

  Evaluate the integral: \[ \int \frac{\sqrt{\tan x}}{\sin x \cos x} \, dx \]

  • \( \frac{2}{\cos^2 x} \)
  • \( \frac{2}{\sin^2 x} \)
  • \( \frac{2}{\cos x} \)
  • \( \frac{2}{\sin x} \)
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• 4.

  What is the energy stored in a capacitor of capacitance \( C = 10 \, \mu\text{F} \) when a potential difference of \( V = 20 \, \text{V} \) is applied across it?

  • \( 0.01 \, \text{J} \)
    
  • \( 2 \, \text{J} \)
    
  • \( 4 \, \text{J} \)
    
  • \( 0.1 \, \text{J} \)
    
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• 5.

  What is the empirical formula of a compound containing 40% sulfur and 60% oxygen by mass?

  • \( \text{SO}_3 \) 
     

  • \( \text{SO}_2 \) 
     

  • \( \text{S}_2\text{O}_3 \)
    
  • \( \text{SO} \)
    
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