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If It is 1/r^2.5 in place of 1/r^2, wou...

If It is `1/r^2.5` in place of `1/r^2`, would Gauss's law still hold?

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To determine whether Gauss's law holds if the electric field varies as \( \frac{1}{r^{2.5}} \) instead of \( \frac{1}{r^2} \), we can analyze the situation step by step. ### Step-by-Step Solution: 1. **Understanding Gauss's Law**: Gauss's law states that the electric flux \( \Phi \) through a closed surface is proportional to the charge \( Q_{\text{enc}} \) enclosed by that surface: \[ \Phi = \frac{Q_{\text{enc}}}{\epsilon_0} ...
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Gauss's law part-1

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If Coulomb's law involved 1/r^3 (instead of 1/r^2) , would Gauss's law still be true?

Which of the following statement(s) is/are correct? If the electric field due to a point charge varies as r^(-2.5) instead of r^(-2),then the Gauss law will still be valid. The Gauss law can be used to calculate the field distribution around an electric dipole. If he electric field between two point charges is zero somewhere,then the sign of the two charges is the same. The work done by the external force is moving a unit positive charge from point A at potential "V_(A)" to point B at potential "V_(B)" is,(V_(B)-V_(A))

A car is parked among N cars standing in a row,but not at either end.On his return,the owner finds that exactly r of the N places are still occupied.The probability that the places neighboring his car are empty is a.((r-1)!)/((N-1)!) b.((r-1)!(N-r)!)/((N-1)!) c.((N-r)(N-r-1))/((N-1)(N+2)) d.((N-r)C_(2))/(N-1)C_(2)

Let E_1 and E_2 denotes gravitational field at distance r_1 and r_2 from the axis of an infinitely long solid cylinder of the radius R. Which of the following must hold true ?

Two concentric sphereical shels have masses M_1,M_2 and radii R_1,R_2(R_1+R_2) . What is the force exerted by this system on a particle of mass m_1 if it is placed t a distance (R_1+R_2)/2 from the centre?

Two concentric spherical shells have masses m_(1) , m_(2) and radit R_(1) , R_(2) (R_(1) lt R_(2)) . Calculate the force by this system on a particle of mass m , if it is placed at a distance ((R_(1) + R_(2)))/(2) from the centre.

MODERN PUBLICATION-ELECTRIC CHARGES AND FIELDS -Revision Exercises (Very short)
  1. Assertion : An electrostatic field line never form closed loop. Reas...

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  2. S1 and S2 are two parallel concentric spheres enclosing charges Q and ...

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  3. Can charge lie on a Gaussian surface?

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  4. State Gauss's law in the integral form and write its equation .

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  5. If It is 1/r^2.5 in place of 1/r^2, would Gauss's law still hold?

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  6. Can we distribute charge over the volume of conducting material ?

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  7. Why is the direction of the electric field due to a charged conducting...

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  8. What is an electrostatic shielding? Mention its one application.

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  9. A metal slab is placed in a uniform electric field vecE. What will be ...

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  10. A dielectric slab of material having dielectric constant 6 is kept ins...

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  11. Two infinite sheets of uniform charge density + sigma and - sigma a...

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  12. Write the expression of electric field due to an infinitely long, stra...

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  13. State Gauss's law in electrostatics. Using this law derive an expressi...

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  14. Two identical balls having equal positive charge q coulomb are suspend...

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  15. A surface enclosed an electric dipole, the flux through the surface is...

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  16. How does the electric flux due to a point charge enclosed by a...

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  17. Fig shows three point charges +2q, -q and + 3q, What is the electric ...

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  18. Why electrostatic field is normal to the surface at every point of a c...

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  19. Does the charge given to a metallic sphere depend on whether it is hol...

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  20. A point charge of 4.427 muC is at the centre of a cube Gaussian surfac...

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