Resonant frequency f = 1/(2π√(LC)) = 1/(2π√(0.1 * 100e-6)) = 159.15 Hz.

The resonant frequency f = 1/(2π√(LC)) = 1/(2π√(0.1*100e-6)) ≈ 159Hz.

Resonant frequency f0 = 1/(2π√(LC)) = 1/(2π√(0.2 * 10e-6)) = 159.15Hz.

Using Z = √(R² + Xl²), we have 40 = √(30² + Xl²). Solving gives Xl = 10 Ω.

Using Z = √(R² + (XL - XC)²), we find XL = √(50² - 30²) + 20 = 10Ω.

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

At resonance in a series RLC circuit, the impedance is minimum, and the circuit behaves like a purely resistive circuit.

At resonance in a series RLC circuit, the impedance is minimum, and thus the current is maximum.

At resonance in a series RLC circuit, the impedance is at a minimum.

At resonance in a series RLC circuit, the total impedance is minimum and is equal to the resistance (R) of the circuit.

In a simple cubic lattice, there is 1 atom effectively present in one unit cell, as each corner atom contributes 1/8th of an atom to the unit cell.

In a simple cubic lattice, there is 1 atom per unit cell (1/8 atom from each of the 8 corners).

In simple harmonic motion, the acceleration is always directed towards the equilibrium point, which is the position of rest.

Maximum velocity occurs at the mean position where the displacement is zero.

The restoring force in SHM is a conservative force as it can do work and store energy.

Time period (T) = 2π√(m/k), doubling m will double T.

Time period (T) = 2π√(m/k). If mass (m) increases, T increases.

In a standing wave, the points where there is no displacement are called nodes.

A test cross is performed by crossing an individual of unknown genotype with a homozygous recessive individual.

In a test cross, an individual with a dominant phenotype is crossed with a homozygous recessive individual to determine its genotype.

In a test cross, the individual with an unknown genotype is crossed with a homozygous recessive individual.

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

At the center of a thin film, constructive interference occurs for longer wavelengths (red light), making red the dominant color seen.

Red light has the longest wavelength and is least affected by interference effects in thin films compared to shorter wavelengths.

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

Due to the phenomenon of thin film interference, the color that is most prominently reflected depends on the thickness of the film and the wavelength of light. Typically, blue light is more likely to be reflected due to shorter wavelengths.

The color that appears at the center of the pattern corresponds to the wavelength that experiences constructive interference, which in this case is red light.

If the film thickness causes constructive interference for blue light, blue will appear at the center of the pattern.

Destructive interference for red light means red light is canceled out, leaving the shorter wavelengths (blue) visible.

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.