Brewster's angle can be calculated using the formula tan(θ_B) = n, where n is the refractive index. For n = 1.5, θ_B = arctan(1.5) ≈ 53 degrees.

Brewster's angle θ_B can be calculated using θ_B = arctan(n2/n1) = arctan(1.5) ≈ 56.31 degrees.

Brewster's angle is the angle of incidence at which light is reflected with maximum polarization.

The bulk modulus measures a material's resistance to uniform compression, indicating how much it resists volume change.

C = ε₀ * ε_r * A / d = (8.85 × 10^-12 F/m) * 5 * (0.01 m²) / (0.001 m) = 4.425 × 10^-10 F.

Capacitance C = ε₀ * A / d = (8.85 × 10^-12 F/m) * (0.1 m²) / (0.01 m) = 8.85 × 10^-10 F.

The capacitance C of a parallel plate capacitor is given by the formula C = ε₀ * A / d, where ε₀ is the permittivity of free space.

The capacitance C of a parallel plate capacitor is given by the formula C = ε₀A/d, where ε₀ is the permittivity of free space.

In an endothermic reaction, heat is absorbed from the surroundings, resulting in a positive change in enthalpy.

In an exothermic reaction, heat is released, resulting in a negative change in enthalpy.

In an isothermal process, the temperature remains constant, and for an ideal gas, the change in enthalpy is zero.

The change in entropy for an isothermal and reversible expansion of an ideal gas is given by ΔS = nR ln(V2/V1). For 1 mole, n = 1, hence ΔS = R ln(V2/V1).

The change in entropy for an isothermal expansion of an ideal gas is given by ΔS = nR ln(V2/V1). For 1 mole, it simplifies to ΔS = R ln(V2/V1).

In an isochoric process, the change in internal energy is equal to the heat added to the system, ΔU = Q.

In an isochoric process, the change in internal energy is equal to the heat added to the system, ΔU = Q.

In an isochoric process, the volume remains constant, and the change in internal energy is equal to the heat added to the system.

In an isochoric process, the volume remains constant, and any heat added to the system increases the internal energy of the gas.

The oxidation state of carbon changes from -4 in CH4 to +4 in CO2.

The characteristic polynomial is det(A - λI) = det([[1-λ, 2], [3, 4-λ]]) = (1-λ)(4-λ) - 6 = λ^2 - 5λ + 2.

The characteristic polynomial is given by det(A - λI) = det([[2-λ, 1], [1, 2-λ]]) = (2-λ)(2-λ) - 1 = λ^2 - 3λ + 3.

For a right triangle, the circumradius R = hypotenuse/2 = 13/2 = 6.5.

Circumradius R = (abc)/(4K), where K is the area. Area K = 24 (using Heron's formula). R = (6*8*10)/(4*24) = 5.

The circumradius R of a triangle can be calculated using the formula R = (abc)/(4 * Area). Here, Area = 84 cm², so R = (7 * 24 * 25)/(4 * 84) = 13.

The circumradius R of an equilateral triangle is given by R = a/(√3).

R = (abc) / (4 * Area). Area = 84, R = (7 * 24 * 25) / (4 * 84) = 12.

The circumradius R of a triangle is given by the formula R = abc/(4A), where A is the area of the triangle.

The coefficient of static friction (μs) is given by μs = F/N, where F is the force and N is the normal force. Here, μs = 20 N / 50 N = 0.4.

Coefficient of Variation = (Standard Deviation / Mean) * 100 = (5 / 50) * 100 = 10%.

Coefficient of variation = (Standard deviation / Mean) * 100 = (10 / 50) * 100 = 20%.

The coefficient of x^0 is (-4)^5 = -1024.