CBSE Class 12 Economics Compartment Question Paper 2017 with Answer Key (July 17, Set 3- 226/3)

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.

  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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• 3.

  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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• 4.

  If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).

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• 5.

  Three students run on a racing track such that their speeds add up to 6 km/h. However, double the speed of the third runner added to the speed of the first results in 7 km/h. If thrice the speed of the first runner is added to the original speeds of the other two, the result is 12 km/h. Using the matrix method, find the original speed of each runner.

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• 6.

  Your school is planning to host the Annual Awards Function on Saturday, 9th April. On behalf of the Principal, draft a formal invitation card to be sent to the parents and other guests inviting them for the function. Mention a compelling highlight of the celebration along with other details.

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