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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

The Electric flux through the surface (i) (ii) (iii) (iv)

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प्रश्न

The Electric flux through the surface


(i)

(ii)

(iii)

(iv)

पर्याय

  • in Figure (iv) is the largest.

  • in Figure (iii) is the least.

  • in Figure (ii) is same as Figure (iii) but is smaller than Figure (iv)

  • is the same for all the figures.

MCQ
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उत्तर

is the same for all the figures.

Explanation:

According to Gauss’ law of electrostatics, the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity,

i.e., `phi = (Q_(enclosed))/ε_0`

Thus, electric flux through a surface doesn’t depend on the shape, size or area of a surface but it depends on the amount of charge enclosed by the surface.

In the given figures the charge enclosed is the same that means the electric flux through all the surfaces should be the same.

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पाठ 1: Electric Charges And Fields - MCQ I [पृष्ठ २]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 12
पाठ 1 Electric Charges And Fields
MCQ I | Q 1.03 | पृष्ठ २

संबंधित प्रश्‍न

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q1, q2, q3 and q4 are point charges located at points as shown in the figure and S is a spherical gaussian surface of radius R. Which of the following is true according to the Gauss' law?


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The surface considered for Gauss’s law is called ______.


Which of the following statements is not true about Gauss’s law?


If there were only one type of charge in the universe, then ______.

  1. `oint_s` E.dS ≠ 0 on any surface.
  2. `oint_s` E.dS = 0 if the charge is outside the surface.
  3. `oint_s` E.dS could not be defined.
  4. `oint_s` E.dS = `q/ε_0` if charges of magnitude q were inside the surface.

Refer to the arrangement of charges in figure and a Gaussian surface of radius R with Q at the centre. Then

  1. total flux through the surface of the sphere is `(-Q)/ε_0`.
  2. field on the surface of the sphere is `(-Q)/(4 piε_0 R^2)`.
  3. flux through the surface of sphere due to 5Q is zero.
  4. field on the surface of sphere due to –2Q is same everywhere.

If the total charge enclosed by a surface is zero, does it imply that the elecric field everywhere on the surface is zero? Conversely, if the electric field everywhere on a surface is zero, does it imply that net charge inside is zero.


In 1959 Lyttleton and Bondi suggested that the expansion of the Universe could be explained if matter carried a net charge. Suppose that the Universe is made up of hydrogen atoms with a number density N, which is maintained a constant. Let the charge on the proton be: ep = – (1 + y)e where e is the electronic charge.

  1. Find the critical value of y such that expansion may start.
  2. Show that the velocity of expansion is proportional to the distance from the centre.

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[Given q = charge ε0 = permittivity of free space]


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