BITSAT 2023 20 June Question Paper (Soon): Download Question Paper with Answers PDF

BITSAT Questions

• 1.

  The value of \( \int e^{\tan \theta} (\sec \theta - \sin \theta) \, d\theta \) is
  

  • \( e^{\tan \theta} \sec \theta + c \)
    
  • \( e^{\tan \theta} \sin \theta + c \)
    
  • \( e^{\tan \theta} (\sec \theta + \sin \theta) + c \)
    
  • \( e^{\tan \theta} \cos \theta + c \)
  View Solution

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• 2.

  The magnitude of projection of line joining (3, 4, 5) and (4, 6, 3) on the line joining (−1, 2, 4) and (1, 0, 5) is
  

  • \( \frac{4}{3} \)
    
  • \( \frac{2}{3} \)
    
  • \( \frac{8}{3} \)
    
  • \( \frac{1}{3} \)
  View Solution

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• 3.

  In a Wheatstone Bridge, all four arms have equal resistance of 1 \(\Omega\) each. A battery is connected across the bridge, and a galvanometer is connected between the middle junctions. What is the current flowing through the galvanometer?
  

  • Zero
    
  • Depends on battery voltage
    
  • Maximum current flows
    
  • Cannot be determined
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• 4.

  Let \( A = \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 3 & 2 & 1 \end{bmatrix} \). Find \( A^{100} \).
  

  • Same as A
    
  • Identity matrix
    
  • \( \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 300 & 200 & 1 \end{bmatrix} \)
    
  • \( \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 100 & 200 & 1 \end{bmatrix} \)
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• 5.

  A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and of same material as that of P are now combined as shown in the figure. The ray will now suffer
  

  

  
  

  • greater deviation
    
  • no deviation
    
  • same deviation as before
    
  • total internal reflection
  View Solution

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• 6.

  How many moles of oxygen are required to completely combust 1 mole of propane (C\(_3\)H\(_8\))?
  

  • 4 moles
    
  • 5 moles
    
  • 6 moles
    
  • 3 moles
  View Solution