For Balmer series in the spectrum of atomic hydrogen, the wave number of each line is given by $\bar\upsilon = R_H (\frac{1}{n_1^2} - \frac{1}{n_2^2})$ where $R_H$ is a constant and $n_1$and $n_2$ are integers. Which of the following statement(s) is (are) correct?
1. As wavelength decreases, the lines in the series converge
2. The integer $n_1$ is equal to $2$
3. The ionisation energy of hydrogen can be calculated from the wave number of these lines
4. The line of longest wavelength corresponds to $n_2 = 3$