| List-I Alkali Metal | List-II Emission Wavelength in nm |
|---|---|
| (A) Li | (I) 589.2 |
| (B) Na | (II) 455.5 |
| (C) Rb | (III) 670.8 |
| (D) Cs | (IV) 780.0 |
To solve this problem, we need to match the alkali metals in List-I with their corresponding emission wavelengths given in List-II. Alkali metals are known for their characteristic colors when excited, and these colors correspond to specific wavelengths of light emitted during transitions. Let's explore each metal's emission wavelength:
From the above analysis, we can match the metals with their corresponding wavelengths as follows:
Therefore, the correct answer is: (A)-(III), (B)-(I), (C)-(IV), (D)-(II).
This is a fact-based question regarding the emission wavelengths of alkali metals. The correct matches based on known data are:
(A) Li – (III) 670.8 nm
(B) Na – (I) 589.2 nm
(C) Rb – (IV) 780.0 nm
(D) Cs – (II) 455.5 nm
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

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 ___________.