Two parallel plate capacitors are found to store the same amount of charge when connected to the same battery one by one. Their plate areas are 300 `cm^(2)` and `700cm^(2)`. Separation between the plates of first capacitor is 2 mm. Calculate separation between the plates of second capacitor.

Explanation

To solve the problem, we need to use the relationship between capacitance, charge, and potential difference for parallel plate capacitors. The capacitance \( C \) of a parallel plate capacitor is given by the formula:

\[ C = \frac{A \epsilon_0}{d} \]

where:
- \( C \) is the capacitance,
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