Xe and F2 in 1:1 molar ratio when mixed in a closed flask and kept in sunlight for a day, gave white crystals of a compound Q. Two equivalents of Q on reaction with one equivalent of AsF5 gave an ionic compound X+Y– with the cation having two Xe atoms. The total number of lone pairs present on the cation X+ is ___________ (in integer).
When xenon and fluorine are combined in a 1:1 molar ratio under sunlight, they form xenon difluoride (XeF2) as a white crystalline solid.
Upon reacting 2 equivalents of XeF2 with 1 equivalent of AsF5, the following ionic compound is formed:
2 XeF2 + AsF5 → [Xe2F3]+ [AsF6]−
The cation [Xe2F3]+ contains two xenon atoms bridged by a fluorine atom and bonded to terminal fluorines. Each Xe is in the +2 oxidation state.
Each xenon atom has 8 valence electrons. After bonding, each Xe retains 3 lone pairs.
Therefore, total number of lone pairs on both xenon atoms:
2 × 3 = 6
But due to the three-center four-electron bonding in [Xe2F3]+, each Xe also contributes additional electron density involved in bonding. The correct total count of lone pairs on the cation X+ (considering structure and all nonbonding pairs on Xe and F) is:
☑ Answer: 14
Two positively charged particles \(m_1\) and \(m_2\) have been accelerated across the same potential difference of 200 keV. Given mass of \(m_1 = 1 \,\text{amu}\) and \(m_2 = 4 \,\text{amu}\). The de Broglie wavelength of \(m_1\) will be \(x\) times that of \(m_2\). The value of \(x\) is _______ (nearest integer). 
Structures of four disaccharides are given below. Among the given disaccharides, the non-reducing sugar is: 
The ratio of the fundamental vibrational frequencies \( \left( \nu_{^{13}C^{16}O} / \nu_{^{12}C^{16}O} \right) \) of two diatomic molecules \( ^{13}C^{16}O \) and \( ^{12}C^{16}O \), considering their force constants to be the same, is ___________ (rounded off to two decimal places).
Courage : Bravery :: Yearning :
Select the most appropriate option to complete the analogy.
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius \( r \) cm as shown in the figure. The side of the dodecagon is \( d \) cm. All the triangles (numbered 1 to 12 in the figure) are used to form squares of side \( r \) cm, and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are:
