CBSE Class 12 Mathematics Question Paper 2022 with Answer Key (June 7, Set 2 - 65/2/2)

CBSE CLASS XII Questions

• 1.

  A current of 1.5 A is maintained in a copper wire of length 1 m with area of cross-section $1.7 \times 10^{-7}$ m$^2$. The magnitude of electric field in the wire is $[\rho_{Cu} = 1.7 \times 10^{-8}\,\Omega\,\text{m}]$:

  • 0.15 V/m
  • 0.30 V/m
  • 1.5 V/m
  • 3.0 V/m
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• 2.

  When the distance between the slit and screen is doubled, the angular separation between two fringes in single-slit diffraction experiment will:

  • be doubled
  • be halved
  • remain constant
  • become one-fourth
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• 3.

  Two converging lenses $L_1$ and $L_2$, of focal lengths $144\,\text{cm}$ and $6\,\text{cm}$ respectively, are arranged coaxially in a tube $147\,\text{cm}$ apart. The arrangement is used to view a far off tree, keeping the eye close to $L_2$.

  (i) Draw the ray diagram depicting image formation by the combination.

  (ii) How far from $L_2$ will the final image be formed?

  (iii) Calculate the magnification produced by the combination.

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• 4.

  The rms and the average value of an ac voltage \[ V=V_0\sin\omega t \] over a cycle respectively will be:

  • \(\dfrac{V_0}{2},\dfrac{V_0}{\sqrt2}\)
  • \(\dfrac{V_0}{\pi},\dfrac{V_0}{2}\)
    
  • \(\dfrac{V_0}{\sqrt{2}},0\)
    
  • \(V_0,\dfrac{V_0}{\sqrt2}\)
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• 5.

  The number of free electrons per unit volume ($\text{m}^3$) in a wire made of copper (resistivity $1.72 \times 10^{-8}\,\Omega\,\text{m}$) is $8.5 \times 10^{28}$. Calculate the average number of collisions made by an electron in one second when an electric field is maintained in the wire.

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• 6.

  The radius of a nucleus of mass number 125 is

  • \(6.0\ \text{fm}\)
    
  • \(30\ \text{fm}\)
    
  • \(72\ \text{fm}\)
    
  • \(150\ \text{fm}\)
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