Explanation: \(\text{Hints: } \beta = 10 \log_{10} \left(\frac{I}{I_0}\right)\)
\(\text{Solve: } \beta_1 = 10 \log_{10} \left(\frac{I_1}{I_0}\right), \, \beta_2 = 10 \log_{10} \left(\frac{I_2}{I_0}\right)\)
\((\beta_2 - \beta_1) = 10 \log_{10} \left(\frac{I_2}{I_1}\right)\)
\(\implies 30 = 10 \log_{10} \left(\frac{I_2}{I_1}\right) \implies \log_{10} \left(\frac{I_2}{I_1}\right) = 3 \implies \frac{I_2}{I_1} = 10^3 = 1000\)
\(\text{Ans. (C)}\)
