CBSE Class 12 Electrical Machines Compartment Question Paper 2019 with Answer Key (July 2)

CBSE CLASS XII Questions

• 1.

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

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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.

  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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• 4.

  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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• 5.

  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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• 6.

  Aakash and Baadal entered into partnership on 1st October, 2023 with the capitals of Rs 80,00,000 and Rs 60,00,000 respectively. They decided to share profits and losses equally. Partners were entitled to interest on capital @ 10\% per annum as per the provisions of the partnership deed. Baadal is given a guarantee that his share of profit, after charging interest on capital will not be less than Rs 7,00,000 per annum. Any deficiency arising on that account shall be met by Aakash. The profit of the firm for the year ended 31st March, 2024 amounted to Rs 13,00,000. Prepare Profit and Loss Appropriation Account for the year ended 31st March, 2024.
  

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