Home Physics Electric Charges and Fields All Topic Question for Revision Test The force between two charges 0.06 m apart i…
Physics Electric Charges and Fields All Topic Question for Revision Test MCQ (Single Correct)

The force between two charges 0.06 m apart is 5 N. If each charge is moved towards the other, so that new distance becomes 0.04 m, then the force between them will become

A
7.20 N
B
11.25 N
C
22.50 N
D
45.00 N

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Text Solution

Verified by Experts
The correct answer is:
B

The initial distance between the charges, , is given as 0.06 m .
The initial force between the charges, , is given as 5 N .
Each charge is moved towards the other, resulting in a new distance, , of 0.04 m .
Coulomb's Law states that the force between two point charges is inversely proportional to the square of the distance between them, which can be expressed as .

The ratio of the initial force to the new force can be expressed in terms of the distances as .

Substituting the known values into the equation: .
Calculating the squares of the distances: and .

Substituting these squared values back into the equation: .
Simplifying the fraction: .
The equation becomes .
Solving for .
Calculating the final force: .

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