CBSE Class 12 Assamese Compartment Question Paper 2017 with Answer Key (July 17, Set 4- 14)

CBSE CLASS XII Questions

• 1.

  The ratio of the number of turns of the primary to the secondary coils in an ideal transformer is 20:1. If 240 V AC is applied from a source to the primary coil of the transformer and a 6.0 \( \Omega \) resistor is connected across the output terminals, then the current drawn by the transformer from the source will be:

  • 4.0 A
    
  • 3.8 A
    
  • 0.97 A
    
  • 0.10 A
    
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• 2.

  If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]

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• 3.

  Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]

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• 4.

  A 1 cm straight segment of a conductor carrying 1 A current in \( x \)-direction lies symmetrically at the origin of Cartesian coordinate system. The magnetic field due to this segment at point (1m, 1m, 0) is:

  • \( 1.0 \times 10^{-9} \, \text{T} \)
    
  • \( -1.0 \times 10^{-9} \, \text{T} \)
    
  • \( \frac{5.0}{\sqrt{2}} \times 10^{-10} \, \text{T} \)
    
  • \( -\frac{5.0}{\sqrt{2}} \times 10^{-10} \, \text{T} \)
    
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• 5.

  ‘But the game he is watching so intently is out of his reach.’ What are the factors that have made their game inaccessible to Saheb? (Lost Spring)
  

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• 6.

  In the circuit, three ideal cells of e.m.f. \( V \), \( V \), and \( 2V \) are connected to a resistor of resistance \( R \), a capacitor of capacitance \( C \), and another resistor of resistance \( 2R \) as shown in the figure. In the steady state, find (i) the potential difference between P and Q, (ii) the potential difference across capacitor C.
  

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