Question

Gauss’s law will be invalid if
(a) there is magnetic monopoles.
(b) the inverse square law is not exactly true.
(c) the velocity of light is not a universal constant.
(d) none of these.

Answer 1

Answer:

Explanation:As we have learned

Gauss's Law -

Total flux linked with a closed surface called Gaussian surface.

Formula:

\phi = \oint \vec{E}\cdot d\vec{s}=\frac{Q_{enc}}{\epsilon _{0}}

 

- wherein

No need to be a real physical surface.

Qenc - charge enclosed by closed surface.

 

Gauss law can derived from coulombs law which follws inverse square law .

Option 1)

There were magnetic monopoles

Option 2)

The inverse square law were not exactly true

Option 3)

The velocity of light were not a universal constant

Option 4)

None of these

Answer 2

Gauss's law will be invalid if there is magnetic monopoles.

• Gauss's Law is a fundamental concept in electromagnetism and states that the total electric flux (flow of electric field) through a closed surface is proportional to the charge enclosed within the surface. Mathematically, it can be written as:

Φ = ∫E.dA = q/ε0

• where Φ is the electric flux, E is the electric field, dA is an infinitesimal element of the closed surface, q is the charge enclosed within the surface, and ε0 is the vacuum permittivity constant.

• The law is useful in determining the electric field caused by a charge distribution. By defining a closed surface around a charged object and measuring the electric flux through that surface, one can calculate the electric field at any point in space. Gauss's law is a cornerstone of the theory of electromagnetism and is used in a variety of applications, including the calculation of electric potential and capacitance.

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