The hollow sphere has the largest moment of inertia compared to the other shapes for the same mass and radius.

A Circle is not a polygon as it does not have straight edges.

The French Revolution introduced the concepts of citizenship and individual rights, challenging the traditional hierarchies and monarchies of the time.

Dayananda Saraswati founded the Arya Samaj in 1875, which aimed at social reform, including the promotion of education and the eradication of caste discrimination.

Covalent solids exhibit a high degree of anisotropy due to their directional bonding.

Metallic solids have high thermal conductivity due to the presence of free-moving electrons.

CaCl2 dissociates into 3 ions (Ca^2+ and 2 Cl^-), leading to the highest boiling point elevation among the options.

Concentration in terms of molarity: 0.1 M NaCl = 0.1, 0.2 M KCl = 0.2, 0.05 M CaCl2 = 0.15 (0.05*3), 0.3 M MgSO4 = 0.3. Highest is 0.3 M MgSO4.

0.1 M glucose is a non-electrolyte and does not dissociate, thus it has the highest freezing point compared to the ionic solutions.

0.1 M MgCl2 will have the highest boiling point due to the highest van 't Hoff factor (i = 3).

MgCl2 dissociates into 3 ions, leading to the greatest freezing point depression among the options.

MgCl2 dissociates into 3 ions, leading to the highest number of solute particles and thus the lowest vapor pressure.

Carbon (C) acts as a reducing agent as it donates electrons to reduce Fe2O3 to Fe.

Carbon (C) acts as a reducing agent as it donates electrons to reduce Fe2O3 to Fe.

In SF4, the sulfur atom is sp3d hybridized, resulting in a seesaw molecular geometry.

F2 has a bond order of 1, calculated as (8 bonding electrons - 6 antibonding electrons)/2 = 1.

In CCl4, the central carbon atom is sp3 hybridized, forming a tetrahedral geometry.

CO2 has a linear geometry due to the sp hybridization of the carbon atom.

BeCl2 has two bonding pairs and no lone pairs, resulting in a linear molecular geometry.

BeCl2 has two bonding pairs and no lone pairs, resulting in a linear shape.

CH4 has a tetrahedral shape due to sp3 hybridization of the carbon atom.

PCl5 has five bonding pairs and no lone pairs, resulting in a trigonal bipyramidal geometry.

C2H4 (ethylene) has a carbon-carbon double bond, and each carbon is sp2 hybridized.

O2+ has a bond order of 2.5, which is higher than O2 (2), O2- (1.5), and O2 2- (1).

In the given reaction, MnO4- is reduced to Mn^2+.

F2 is the strongest oxidizing agent among the halogens due to its high electronegativity and ability to gain electrons.

The sum of probabilities of all possible outcomes must equal 1, which is a fundamental principle in probability theory.

A convex lens can produce both real images (when the object is outside the focal length) and virtual images (when the object is within the focal length).

In a parallelogram, the diagonals bisect each other, which is a defining property of parallelograms.

A potentiometer requires a constant current to ensure accurate measurements of voltage.