Ans: (A,B,C,D)
\(v_{n} \propto \frac{1}{n}\)
\(E_{n} \propto \frac{1}{n^{2}}\)
\(r_{n} \propto n^{2}\)
\(\therefore E_{n} r_{n} \propto n^{0}\)
\(\therefore E_{n} r_{n} \propto E_{1} r_{1}\)
\(\frac{E_{n} r_{n}}{E_{1} r_{1}}=\) cons \(t\) an \(t(\therefore\) slope \(=0)\)
\(r_{n} v_{n} \propto n^{2} \times \frac{1}{n} \propto n\)
\(\therefore \frac{r_{n} v_{n}}{r_{1} v_{1}}=n\)
\((\therefore\) slope \(=1)\)
\(r_{n} \propto n^{2}\)
\(\therefore \frac{\mathrm{r}_{\mathrm{n}}}{\mathrm{r}_{1}}=\mathrm{n}^{2}\)
\(\ln \left(\frac{r_{n}}{r_{1}}\right)=2 \ln (n) \quad(\therefore\) slope \(=2)\)
\(\frac{r_{n}}{E_{n}} \propto n^{4}\)
\(\therefore \frac{r_{n}}{E_{n}} \times \frac{E_{1}}{r_{1}}=n^{4}\)
\(\ln \left(\frac{r_{n} E_{1}}{E_{n} r_{1}}\right)=4 \ln (n)\)
\((\therefore\) slope \(=4)\)
