If a resistance is halved in value and the potential difference across it is tripled, then the ratio of the new current to the old one is

1 : 6

1 : 3

2 : 1

6 : 1

Correct answer is D

\(\frac{V_1}{V_2}\) = \(\frac{I_1R_1}{I_2R_2}\)

\(\frac{I_1}{I_2}\)V₂ = 3V₁ and R₁ = 2R₂

\(\frac{V_1}{3V_1}\) = \(\frac{I_1 \times\ 2R_2}{I_2\times R_2}\)

\(\frac{I_1}{I_2}\) = \(\frac{6}{1}\)

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If a resistance is halved in value and the potential difference across it is tripled, then the ratio of the new current to the old one is

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