At resonance in a series RLC circuit, the impedance (Z) is equal to the resistance (R) because the inductive and capacitive reactances cancel each other out.

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.

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

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.

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

At the center, destructive interference occurs for red light due to its longer wavelength.

The turns ratio is 100:200, which simplifies to 1:2.

The turns ratio is 2:1, as the primary has twice the number of turns compared to the secondary.

If the primary coil has more turns than the secondary coil, it is a step-down transformer.

E = V/d = 10 V / 2 m = 5 N/C.

The reverse breakdown region in a Zener diode allows it to regulate voltage by maintaining a constant output voltage.

The power factor (PF) is given by cos(θ). If θ = 30 degrees, PF = cos(30°) = √3/2 ≈ 0.866.

The power factor (cosφ) is 0.5, which corresponds to an angle φ of 60 degrees.

In a purely inductive circuit, the current lags the voltage by 90 degrees (π/2 radians). Therefore, I(t) = I0 sin(ωt - π/2).

In a purely inductive circuit, the current lags the voltage by 90 degrees (or π/2 radians). Therefore, I(t) = I_0 sin(ωt - π/2).

The current through a capacitor is given by I(t) = C dV/dt. For V(t) = V₀ sin(ωt), the current can be derived from this expression.