Electrostatics Important Questions

12th Standard EM

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Physics

Time : 01:00:00 Hrs
Total Marks : 50
    10 x 1 = 10
  1. Two identical point charges of magnitude –q are fi xed as shown in the fi gure below. A third charge +q is placed midway between the two charges at the point P. Suppose this charge +q is displaced a small distance from the point P in the directions indicated by the arrows, in which direction(s) will +q be stable with respect to the displacement

    (a)

    A1 and A2

    (b)

    B1 and B2

    (c)

    both directions

    (d)

    No stable

  2. An electric dipole is placed at an alignment angle of 300 with an electric fi eld of 2 × 105 NC-1. It experiences a torque equal to 8 N m. Th e charge on the dipole if the dipole length is 1 cm is

    (a)

    4 mC

    (b)

    8 mC

    (c)

    5 mC

    (d)

    7 mC

  3. Four Gaussian surfaces are given below with charges inside each Gaussian surface. Rank the electric fl ux through each Gaussian surface in increasing order.

    (a)

    D < C < B < A

    (b)

    A < B = C < D

    (c)

    C < A = B < D

    (d)

    D > C > B > A

  4. The total electric fl ux for the following closed surface which is kept inside water

    (a)

    \(\frac { 80q }{ { \varepsilon }_{ 0 } } \)

    (b)

    \(\frac { q }{ { 40\varepsilon }_{ 0 } } \)

    (c)

    \(\frac { q }{ { 80\varepsilon }_{ 0 } } \)

    (d)

    \(\frac { q }{ { 160\varepsilon }_{ 0 } } \)

  5. Two identical conducting balls having positive charges q1 and q2 are separated by a center to center distance r. If they are made to touch each other and then separated to the same distance, the force between them will be

    (a)

    less than before

    (b)

    same as before

    (c)

    more than before

    (d)

    zero

  6. The value of constant 'K' in coulomb law is

    (a)

    0.9 x 109 Nm2 C2

    (b)

    9 x 10-9 Nm2C2

    (c)

    9 x 109 Nm-2 C-2

    (d)

    9 x 109 Nm2 C-2

  7. The electrostatic force is always greater in magnitude than gravitational force for_________ object.

    (a)

    bigger size

    (b)

    smaller size

    (c)

    medium size

    (d)

    all the above

  8. The relative permittivity of water is _______.

    (a)

    εr= 70

    (b)

    εr=75

    (c)

    εr=80

    (d)

    εr=85

  9. _______ and Coulomb's law form fundamental principles of electrostatics

    (a)

    Newton's law of gravitation

    (b)

    superposition principle

    (c)

    ohm's law

    (d)

    Kepler's law

  10. The figure shows tow parallel equipotential surface A and B kept at a small distance 'r' a part from each other. A point change of Q coulomb is taken from the surface A to B. The amount of net work done will be 

    (a)

    \(W=\frac { -1 }{ 4\pi { \varepsilon }_{ 0 }r } \frac { q }{ r } \)

    (b)

    \(W=\frac { 1 }{ 4\pi { \varepsilon }_{ 0 }r } \frac { q }{ r } \)

    (c)

    \(W=\frac { -1 }{ 4\pi { \varepsilon }_{ 0 }r } \frac { q }{ r^2 } \)

    (d)

    zero

  11. 5 x 2 = 10
  12. Write down Coulomb’s law in vector form and mention what each term represents.

  13. Define ‘electrostatic potential”.

  14. What is an equipotential surface?

  15. Give a comparison of electrical and gravitional forces?

  16. What are Non-polar molecules

  17. 5 x 3 = 15
  18. Two small-sized identical equally charged spheres, each having mass 1 mg are hanging in equilibrium as shown in the figure. The length of each string is 10 cm and the angle θ is 7° with the vertical. Calculate the magnitude of the charge in each sphere.(Take g = 10 ms−2)

  19. Calculate the electrostatic force and gravitational force between the proton and the electron in a hydrogen atom. They are separated by a distance of 5.3 × 10-11 m. The magnitude of charges on the electron and proton are 1.6 × 10-19 C. Mass of the electron is me = 9.1 × 10-31 kg and mass of proton is mp = 1.6 × 10-27 kg.

  20. Consider four equal charges q1,q2, q3 and q4 = q = +1μC located at four different points on a circle of radius 1m, as shown in the figure. Calculate the total force acting on the charge q1 due to all the other charges.

  21. Deduce electric flus for closed surfaces.

  22. Write the special features of Gauss law.

  23. 3 x 5 = 15
  24. Four charges are arranged at the corners of the square PQRS of side a as shown in the figure.(a) Find the work required to assemble these charges in the given configuration. (b) Suppose a charge q′ is brought to the center of the square, by keeping the four charges fixed at the corners, how much extra work is required for this?
     

  25. A water molecule has an electric dipole moment of 6.3 × 10-30 Cm. A sample contains 1022 water molecules, with all the dipole moments aligned parallel to the external electric field of magnitude 3 × 105 NC-1. How much work is required to rotate all the water molecules from θ = 00 to 900?

  26. Three points A, B & C lie in a uniform electric field (E) of 5 x 103 NC-1 Find the potential difference between A &c.

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