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Refer to the arrangement of charges in figure and a Gaussian surface of radius R with Q at the centre. Then total flux through the surface of the sphere is ε-Qε0. field on the surface - Physics

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प्रश्न

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.

विकल्प

  • a and d

  • a and c

  • b and d

  • c and d

MCQ

उत्तर

a and c

Explanation:

From Gauss' law, we know `oint_s vecE * dvecS = q_(enclosed)/ε_0`.

Thus, from figure, Total charge inside the Gaussian surface `q_(enclosed)` = Q – 2Q = – Q

The charge 5Q lies outside the surface, thus it makes no contribution to electric flux through the given surface.

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Gauss’s Law
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अध्याय 1: Electric Charges And Fields - MCQ I [पृष्ठ ४]

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एनसीईआरटी एक्झांप्लर Physics [English] Class 12
अध्याय 1 Electric Charges And Fields
MCQ I | Q 1.12 | पृष्ठ ४

संबंधित प्रश्न

A thin conducting spherical shell of radius R has charge Q spread uniformly over its surface. Using Gauss’s law, derive an expression for an electric field at a point outside the shell.


Gaussian surface cannot pass through discrete charge because ____________.


The Gaussian surface ______.


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


The Electric flux through the surface


(i)

(ii)

(iii)

(iv)

Five charges q1, q2, q3, q4, and q5 are fixed at their positions as shown in figure. S is a Gaussian surface. The Gauss’s law is given by `oint_s E.ds = q/ε_0`

Which of the following statements is correct?


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.

Consider a region inside which there are various types of charges but the total charge is zero. At points outside the region

  1. the electric field is necessarily zero.
  2. the electric field is due to the dipole moment of the charge distribution only.
  3. the dominant electric field is `∞ 1/r^3`, for large r, where r is the distance from a origin in this region.
  4. the work done to move a charged particle along a closed path, away from the region, will be 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.

A charge Q is placed at the centre of a cube. The electric flux through one of its faces is ______.


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