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A voltmeter of resistance R1 and an amme...

A voltmeter of resistance `R_1` and an ammeter of resistance `R_2` are connected in series across a battery oif negligible internal resistance. When as resistance `R` is connected in parallel to voltmeter reading of ammeter increases three times white that of voltmeter reduces to one third. Find `R_1` and `R_2` in terms of `R`.

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