The moment of inertia of a thin wire bent in the shape of a semicircle about the diameter is I = 3/8 MR^2.

The moment of inertia of a rectangular plate about an axis through its center and parallel to side a is I = 1/3 Mb^2.

The moment of inertia of a uniform thin circular plate about an axis through its center and perpendicular to its plane is I = 1/2 MR^2.

The moment of inertia of a square plate about an axis through its center and parallel to one side is I = 1/12 Ma².

The moment of inertia of a triangular lamina about an axis through its centroid is I = 1/12 Mb^2.

The conversion of benzene to phenol is known as hydroxylation, typically involving the addition of a hydroxyl group (-OH) to the aromatic ring.

A concave lens always produces a virtual and upright image regardless of the object's position.

A concave lens always forms a virtual and upright image.

When the object is beyond the center of curvature, the image formed is real and inverted.

When an object is placed beyond the focal length of a convex lens, the image formed is real and inverted.

When the object is at 2f, the image is formed at 2f on the opposite side, making it real and inverted.

When the object is beyond the focal point, the image formed by a convex lens is real and inverted.

When the object is at infinity, the rays converge at the focal point, forming a real and inverted image.

When the object is placed beyond 2f, the image formed by a convex lens is real and inverted.

A convex mirror always forms a virtual image that is upright and smaller than the object.

A plane mirror always forms a virtual and erect image, as the image appears behind the mirror at the same distance as the object.

The Nernst equation is used to determine the cell potential under non-standard conditions.

An object at rest has no net force acting on it, according to Newton's first law.

Normality (N) = equivalents of solute / liters of solution. H2SO4 provides 2 equivalents, so N = 2 moles / 1 L = 2 N.

Normality (N) = equivalents of solute / liters of solution. H2SO4 provides 2 equivalents, so 2 moles × 2 = 4 N.

Normality (N) = equivalents of solute / liters of solution. H2SO4 has 2 equivalents per mole, so 3 moles = 6 equivalents. Normality = 6 equivalents / 2 L = 3 N.

Normality (N) = equivalents of solute / liters of solution. H2SO4 has 2 equivalents, so 4 moles = 8 equivalents. N = 8 eq / 2 L = 4 N.

Normality (N) = number of equivalents / liters of solution. H2SO4 has 2 equivalents per mole, so 4 moles = 8 equivalents. Normality = 8 equivalents / 2 L = 4 N.

Normality (N) = Molarity (M) x number of equivalents. H2SO4 has 2 acidic protons, so 1 M x 2 = 2 N.

Number of atoms = moles x Avogadro's number = 2 moles x 6.022 x 10^23 atoms/mole = 1.2044 x 10^24 atoms.

Each CaCO3 has 5 atoms (1 Ca, 1 C, 3 O). Number of atoms = moles x atoms per molecule x Avogadro's number = 2 moles x 5 x 6.022 x 10^23 = 1.206 x 10^24 atoms.

Na2SO4 has 2 Na + 1 S + 4 O = 7 atoms. Number of atoms = moles x atoms per mole = 2 moles x 7 atoms = 14 atoms = 1.2044 x 10^24 atoms.

Each NaCl unit has 2 atoms (Na and Cl). Therefore, 2 moles of NaCl contain 2 x 6.022 x 10^23 x 2 = 1.2044 x 10^24 atoms.

Molar mass of Na = 23 g/mol. Number of moles = mass / molar mass = 10 g / 23 g/mol = 0.43 moles.

Molar mass of NaOH = 23 + 16 + 1 = 40 g/mol. Number of moles = mass/molar mass = 10 g / 40 g/mol = 0.25 moles.