CBSE Class 12 National Cadet Corps Compartment Question Paper 2020 with Answer Key (September 22)

CBSE CLASS XII Questions

• 1.

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

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• 2.

  Two conductors A and B of the same material have their lengths in the ratio 1:2 and radii in the ratio 2:3. If they are connected in parallel across a battery, the ratio \( \frac{v_A}{v_B} \) of the drift velocities of electrons in them will be:

  • 2
    
  • \( \frac{1}{2} \)
    
  • \( \frac{3}{2} \)
    
  • \( \frac{8}{9} \)
    
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• 3.

  Ram and Shyam were partners in a firm sharing profits and losses in the ratio of 5 : 3. Mohan was admitted as a new partner for \( \frac{1}{5} \)th share in the profits of the firm. Mohan brought ₹ 2,50,000 as his share of capital and ₹ 2,00,000 as his share of goodwill premium. The value of the firm’s goodwill was :

  • ₹ 2,00,000
  • ₹ 4,50,000
  • ₹ 12,50,000
  • ₹ 10,00,000
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• 4.

  A coil has 100 turns, each of area \( 0.05 \, \text{m}^2 \) and total resistance \( 1.5 \, \Omega \). It is inserted at an instant in a magnetic field of \( 90 \, \text{mT} \), with its axis parallel to the field. The charge induced in the coil at that instant is:

  • \( 3.0 \, \text{mC} \)
  • \( 0.30 \, \text{C} \)
  • \( 0.45 \, \text{C} \)
  • \( 1.5 \, \text{C} \)
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• 5.

  Explain the basis on which gel electrophoresis technique works. Write any two ways the products obtained through this technique can be utilised.

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• 6.

  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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