Match List I with List II:
Choose the correct answer from the options given below:
To determine the correct geometry, we need to determine the number of electron pairs (bonding and lone pairs) around the central Xenon atom for each molecule.
A. XeO3
Xe has 8 valence electrons. Each O contributes 2 electrons for bonding. So Xe will have 3 double bonds with the 3 O atoms, leaving one lone pair. 3 bond pairs + 1 lone pair = 4 electron pairs around Xe.
This gives sp3 hybridization. Because of the presence of a lone pair, the geometry is pyramidal.
B. XeF2
Xe has 8 valence electrons. Each F contributes 1 electron for bonding. So Xe will have 2 single bonds with the 2 F atoms, leaving three lone pairs. 2 bond pairs + 3 lone pairs = 5 electron pairs around Xe.
This gives sp3d hybridization. The three lone pairs are arranged equatorially to minimize repulsion, resulting in a linear geometry.
C. XeOF4
Xe has 8 valence electrons. Each F contributes 1 electron for bonding, O contributes 2 electron bonding. So Xe will have 4 single bonds with the 4 F atoms, and 1 double bond with the 1 O atom, leaving one lone pair. 5 bond pairs + 1 lone pair = 6 electron pairs around Xe.
This gives sp3d2 hybridization. With one lone pair it makes Square pyramidal.
D. XeF6
Xe has 8 valence electrons. Each F contributes 1 electron for bonding. So Xe will have 6 single bonds with the 6 F atoms, leaving one lone pair. 6 bond pairs + 1 lone pair = 7 electron pairs around Xe.
Due to steric congestion, the molecule does not exhibit octahedral geometry. Based on the VSEPR model, The molecule is predicted to have a distorted octahedral geometry. The central Xe atom has seven electron pairs around it (6 bonds and 1 lone pair), which cause its geometry to be distorted octahedral.
Matching the compounds to their geometries:
A (XeO3) - II (sp3 pyramidal)
B (XeF2) - I (sp3d linear)
C (XeOF4) - IV (sp3d2 square pyramidal)
D (XeF6) - III (sp3d distorted octahedral)
The correct answer is (4) A-II, B-I, C-IV, D-III
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is :
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :