Magnesium reacts with oxygen to form magnesium oxide, which has the formula MgO.

The freezing point depression constant (Kf) for water is 1.86 °C kg/mol.

Freezing point depression = i * Kf * m = 3 * 1.86 * 2 = 11.16 °C, so the freezing point is lowered by 3.72 °C.

Freezing point depression = i * Kf * m = 3 * 1.86 * 2 = 11.16 °C.

Freezing point depression = i * Kf * m = 3 * 1.86 * 2 = 11.16 °C.

Freezing point depression is directly proportional to the number of solute particles in the solution.

Freezing point depression = Kf * molality = 1.86 * 0.5 = 0.93 °C.

Freezing point depression = K_f * m = 1.86 * 0.3 = 0.558 °C; Freezing point = 0 - 0.558 = -0.558 °C

Frequency (f) = speed/wavelength = 343 m/s / 0.5 m = 686 Hz.

Frequency (f) = Speed (v) / Wavelength (λ) = 340 m/s / 0.5 m = 680 Hz.

Frequency is the reciprocal of the period. Therefore, frequency = 1/period = 1/0.01 = 100 Hz.

Frequency f is the reciprocal of the period T, given by f = 1/T. Therefore, f = 1/0.02 s = 50 Hz.

Frequency f is the reciprocal of the period T. Therefore, f = 1/T = 1/0.01 s = 100 Hz.

Frequency f = Speed / Wavelength = 340 m/s / 2 m = 170 Hz.

Fringe width β = λD/d = (500 x 10^-9 m)(1 m)/(0.2 x 10^-3 m) = 2.5 mm.

Hemoglobin is a protein that functions to transport oxygen from the lungs to tissues throughout the body.

The functional group of ketones is -CO-, which is a carbonyl group between two carbon atoms.

Alcohols contain a hydroxyl (-OH) functional group.

Carboxylic acids contain the carboxyl group (-COOH), which is the defining feature of this class of compounds.

Ketones contain the functional group -CO- (carbonyl group) between two carbon atoms.

The fundamental frequency is given by f = v/λ. For a pipe open at both ends, λ = 2L = 4 m. Thus, f = 343 m/s / 4 m = 85.75 Hz, approximately 85 Hz.

The fundamental frequency is given by f = v/λ; for a pipe open at both ends, λ = 2L, so f = v/(2L) = 343/(2*2) = 42.875 Hz.

The equation x(t) = A e^(-bt) cos(ωt) describes the motion of a damped harmonic oscillator.

The equation of motion for a damped harmonic oscillator includes a damping term and is given by m d²x/dt² + b dx/dt + kx = 0.

The equation of motion for a damped oscillator includes a damping term (b dx/dt) along with the restoring force (kx).

The equation x^2 + y^2 = r^2 represents a family of circles with varying radii (r).

The equation x^2 + y^2 = r^2 represents a family of circles with radius r centered at the origin.

The equation y = mx^2 + c represents a family of parabolas that open upwards or downwards depending on the sign of m.

The equation y^2 = 4ax represents a family of parabolas that open to the right with varying values of 'a'.

The general formula for alkanes is C_nH_(2n+2).