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Answer this pic question..

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Answer:

Given:

2 charges are given. There distances are varied and a graph is plotted between Force and Distance .

To find:

The NATURE of the graph

Concept:

The force acting between 2 charges is ELECTROSTATIC Force.

As per Coloumb's Law ,the force is directly proportional to the product of the charges and inversely proportional to the SQUARE of the distance between them

f \: \propto \: ( \dfrac{q1 \times q2}{ {r}^{2} } )

Inserting a constant k:

f = \:k ( \dfrac{q1 \times q2}{ {r}^{2} } )

Since The charges have been SPECIFIED, we can say that the charges are constants . So force will only be dependent on distance between the charges :

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \large{f \: \propto \: \dfrac{1}{ {r}^{2} }}}

So, this EQUATION has the form of a. hyperbola.

Hence Option D) is correct.


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