For resonance in a series RLC circuit, the condition XL = XC must be met.

When light reflects off a denser medium, a phase change of π occurs, leading to destructive interference for certain path differences.

If destructive interference occurs for blue light, the color seen will be the complementary color, which is red.

At the center of the thin film interference pattern, the color that appears is typically green due to the constructive interference of wavelengths in that range.

In a vacuum, light travels the fastest at approximately 3 x 10^8 m/s, while sound and water waves require a medium to travel.

For a zero-order reaction, the rate is constant and does not depend on the concentration of reactants. The unit of the rate constant (k) is mol/L·s.

In a zero-order reaction, the rate is constant and does not depend on the concentration of the reactants.

Inductive reactance (XL) = 2πfL = 2π(60)(0.2) ≈ 75.36Ω.

Inductive reactance (XL = 2πfL) increases with an increase in frequency.

The angle θ can be found using cos(θ) = power factor. Therefore, θ = cos⁻¹(0.8) ≈ 36.87°.

The impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36 ohms.

The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36 ohms.

The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36Ω.

Real power P = V * I * power factor = 120 * 10 * 0.8 = 960 W.

Real power P = V * I * power factor = 120V * 10A * 0.8 = 960W.

Power factor = Real Power / (Voltage x Current) = 600 / (120 x 10) = 600 / 1200 = 0.5.

The RMS voltage is V_rms = V0/√2 = 100/√2 = 70.7 V.

The peak voltage is given by the coefficient of sin, which is 100√2.

RMS voltage V_rms = V_peak / √2 = 120 / √2 = 84.85 V.

The peak voltage V0 is given directly in the equation as 10V.

The peak voltage in the equation V(t) = V0 sin(ωt) is V0.

In an adiabatic process, the relationship is given by PV^n = constant, where n is the heat capacity ratio.

In an adiabatic process, as the temperature decreases, the pressure also decreases due to the ideal gas law.

In an adiabatic process, there is no heat exchange with the surroundings, meaning no heat is absorbed or released.

In an adiabatic process, there is no heat exchange, so the internal energy remains constant for an ideal gas.

In an isochoric process, the volume remains constant.

For an ideal gas, the internal energy depends only on temperature. Since the temperature remains constant in an isothermal process, the internal energy also remains constant.

In an isothermal process, the temperature of the system remains constant.

Total impedance Z = √(R² + (XL - XC)²) = √(6² + (8 - 4)²) = √(36 + 16) = √52 ≈ 10Ω.

The quality factor Q is inversely proportional to resistance. Increasing resistance decreases Q.