| LIST I Elements | LIST II Colour imparted to the flame | ||
| A | K | 1 | Brick Red |
| B | Ca | 2 | Violet |
| C | Sr | 3 | Apple Green |
| D | Ba | 4 | Crimson Red |
Correct answer is (d) A-II, B-I, C-IV, D-III

The flame test is used to identify elements based on the characteristic colors they emit when heated. The correct matching is:
Thus, the correct matching corresponds to option (4).
Method used for separation of mixture of products (B and C) obtained in the following reaction is: 
Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.