Kirchoffs 1st and 2nd laws are based on conservation of

Energy and charge respectively

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Charge and energy respectively

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Mass and charge respectively

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None of these above

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Solution

The correct option is A Charge and energy respectively
Kirchhoff's $1$ st law states that the total amount of current coming at a junction must be equal to the total amount of current going away from it i.e. the total charge must be conserved. Thus Kirchhoff's $1$ st law is based on the conservation of charge.
Kirchhoff's $2$ nd law states that the sum of the potential drop across all the components in a loop must be zero. Thus Kirchhoff's $2$ nd law is based on the conservation of energy.

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