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The force between two small charged spheres having charges 3 x 10-6C and 4 x 10-6C placed 40 cm apart in air is​
  • a)
    67.5 x 10-3 N
  • b)
    67.5 x 10-2 N
  • c)
    6.75 x 10-1 N
  • d)
    none
Correct answer is option 'C'. Can you explain this answer?

**Explanation:**

When two charges are placed in close proximity to each other, they exert a force on each other. This force is known as the electrostatic force. The electrostatic force between two charges is governed by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

In this case, we have a positive charge of 1C and a negative charge of -4C. According to Coulomb's Law, the force between these two charges will be attractive because one charge is positive and the other is negative. The force will act along the line connecting the two charges, from the positive charge to the negative charge.

To determine the direction of the force, we can use a simple mnemonic: "like charges repel, opposite charges attract." Since the charges in this scenario are opposite (positive and negative), they will attract each other. Therefore, the force will act from the positive charge (1C) towards the negative charge (-4C).

Hence, the correct answer is option C: "From 1C to -4C."

Ratio of the permittivity of medium to the permittivity of free space is known as
  • a)
    Dielectric ratio
  • b)
    Dielectric permittivity
  • c)
    Dielectric constant
  • d)
    Dielectric medium
Correct answer is option 'C'. Can you explain this answer?

Hansa Sharma answered
The ratio of a medium's permittivity to the permittivity of free space is known as the dielectric constant or relative permittivity. The equation for relative permittivity is κ = ϵ/ϵ0, where ϵ is the permittivity of the medium and ϵ0 is the permittivity of free space. Both permittivity and the permittivity of free space have the same unit, farads per meter (F/m), so the dielectric constant is dimensionless. 

The force between two charges is 120 N. If the distance between the charges is doubled, the force will be
  • a)
    60 N
  • b)
    30 N
  • c)
    40 N
  • d)
    15 N
Correct answer is option 'B'. Can you explain this answer?

Gaurav Kumar answered
Coulombs law states the force between two charged particles is directly proportional to the product of charges and inversely proportional to the square of distance between them.
So if the distance is doubled then the force would decrease 4 times.
So the new force would be 120/4=30 Newton.

Two positive charges 
  • a)
    repel each other
  • b)
    attract each other at times and repel at other times
  • c)
    attract each other
  • d)
    always attract each other
Correct answer is option 'A'. Can you explain this answer?

Ramesh Chand answered
In contrast to the attractive force between 2 objects with opposite charges , two objects that are of like charge will repel eachother. That is , a positively charged object will exert a repulsive force upon a second positively charged object. This repulsive force will push the two object apart.

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