The force on a charged particle moving in a magnetic field is given by F = qvB sin(θ), where θ is the angle between the velocity and the magnetic field.

The fringe separation (β) is given by the formula β = λD/d, where λ is the wavelength, D is the distance to the screen, and d is the distance between the slits.

The fringe width (β) is given by the formula β = λD/d, where D is the distance from the slits to the screen and d is the distance between the slits.

The formula for inductive reactance is X_L = 2πfL, where f is the frequency and L is the inductance.

The magnetic field inside a solenoid is given by B = μ₀(nI), where n is the number of turns per unit length.

The magnetic field (B) at the center of a circular loop is given by B = μ₀I/2r.

The magnetic force on a charged particle is given by F = qvBsin(θ), where q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.

The magnetic force on a charge moving in a magnetic field is given by F = qvBsinθ, where θ is the angle between v and B.

The magnetic force on a charged particle is given by F = qvBsinθ, where q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between v and B.

The modulus of resilience is given by U = 1/2 * σ * ε, where σ is the yield stress and ε is the yield strain.

The resonant frequency f of an RLC circuit is given by f = 1/(2π√(LC)).

The total impedance in a parallel circuit is given by 1/Z = 1/Z1 + 1/Z2 + 1/Z3.

The total impedance in a series RLC circuit is given by Z = R + j(XL - XC).

The total power in a series RLC circuit is given by P = VI cos(φ), where φ is the phase angle.

Young's modulus (E) is defined as the ratio of stress to strain.

The formula of the compound formed between magnesium and chlorine is MgCl2.

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 (ΔTf) = i * Kf * m. For NaCl, i = 2 (dissociates into Na+ and Cl-). m = 1 mol/kg. ΔTf = 2 * 1.86 °C kg/mol * 1 = 3.72 °C.

Freezing point depression = i * Kf * m = 2 * 1.86 * 1 = 3.72 °C (i = 2 for NaCl).

Freezing point depression = Kf * m = 1.86 °C kg/mol * 1 mol/kg = 1.86 °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, 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 * 3 = 5.58 °C (i = 2 for KCl).

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 = number of oscillations / time = 30 / 60 = 0.5 Hz.

Frequency = 1/Period = 1/0.01 s = 100 Hz.