CBSE Class 12 Microbiology Compartment Question Paper 2017 with Answer Key (July 17)

CBSE CLASS XII Questions

• 1.

  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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• 2.

  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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• 3.

  ‘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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• 4.

  A charge \( -6 \mu C \) is placed at the center B of a semicircle of radius 5 cm, as shown in the figure. An equal and opposite charge is placed at point D at a distance of 10 cm from B. A charge \( +5 \mu C \) is moved from point ‘C’ to point ‘A’ along the circumference. Calculate the work done on the charge.
  

  

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• 5.

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

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• 6.

  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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