The compound(s) having structure similar to that of B\( _2 \)H\( _6 \) is/are
The structure of diborane (B2H6) is characterized by two bridging hydrogen atoms between the two boron atoms. This type of bonding is known as a three-center two-electron bond (3c-2e). The two boron atoms and the two bridging hydrogen atoms lie in one plane, while the four terminal hydrogen atoms are above and below this plane. The boron atoms are sp3 hybridized.
Let's examine the structures of the given compounds:
(A) I2Cl6: Iodine(III) chloride exists as a dimer, I2Cl6, in the solid state and in the gas phase at low temperatures. Its structure consists of two planar ICl3 units linked by two bridging chlorine atoms. The iodine atoms are at the center of a square planar arrangement of chlorine atoms. The bridging involves two I–Cl–I three-center four-electron bonds (3c-4e), which is different from the bonding in diborane.
(B) Si2Cl6: Hexachlorodisilane has a structure analogous to ethane (C2H6), with two SiCl3 tetrahedra linked by a Si–Si single bond. There are no bridging chlorine atoms or 3c-2e bonds.
(C) Al2Cl6: Aluminum(III) chloride exists as a dimer, Al2Cl6, in the vapor phase and in the solid state. Its structure consists of two AlCl3 units linked by two bridging chlorine atoms. The aluminum atoms are four-coordinate, and the bridging involves Al–Cl–Al three-center two-electron bonds (3c-2e), similar to the B–H–B bonds in diborane. The aluminum atoms are sp3 hybridized.
(D) Cl2O6: Chlorine dioxide dimer exists as dichlorohexaneoxide. Its structure is O2Cl–O–ClO3, containing a Cl–O–Cl linkage and a perchlorate-like ClO3 group. It does not have a structure similar to diborane with bridging halogen atoms through 3c-2e bonds.
Conclusion: Based on the structural similarities in bonding (bridging halogen atoms through 3c-2e bonds), Al2Cl6 has a structure most similar to that of B2H6.
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:
