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

The condition for resonance in a series RLC circuit is ωL = 1/ωC.

Number of values = Sum / Mean = 400 / 50 = 8.

The slope of the linear portion of the shear stress-strain curve represents the shear modulus of the material.

Total energy E is proportional to the square of the amplitude. If amplitude is halved, energy is reduced to 1/4, hence it halves.

The total energy in simple harmonic motion is proportional to the square of the amplitude. If the amplitude increases, the total energy increases.

The phase constant φ depends on the initial conditions of the motion, such as the initial position and velocity.

The period (T) increases with mass (T = 2π√(m/k)).

The period T is given by T = 2π√(m/k). If m increases, T increases.

The maximum displacement from the mean position in simple harmonic motion is called Amplitude.

The maximum displacement from the mean position in simple harmonic motion is called the amplitude.

Acceleration is always opposite to displacement in SHM, hence 180 degrees.

In SHM, the restoring force is directly proportional to the displacement from the mean position.

In simple harmonic motion, the restoring force is directly proportional to the displacement from the mean position.

The velocity is maximum at the mean position where the displacement is zero.

In simple harmonic motion, the period is independent of mass for a given spring constant, but for a pendulum, it is independent of mass.

The period T = 2π√(m/k) increases with an increase in mass (m).

Maximum speed (v_max) = ωA. Thus, ω = v_max/A = 4/2 = 2 rad/s.

As the slit width decreases, the central maximum becomes wider due to increased diffraction.

The intensity of the central maximum is four times that of the first minimum in a single-slit diffraction pattern.

The intensity at the first minimum is zero, while the central maximum has maximum intensity.

In a single-slit diffraction pattern, there are theoretically infinite minima on either side of the central maximum.

The width of the central maximum is inversely proportional to the slit width. Halving the slit width doubles the width of the central maximum to 8 mm.

For single-slit diffraction, the first minimum occurs at sin θ = λ/a. Here, sin θ = 600 x 10^-9 m / 0.5 x 10^-3 m = 0.0012, θ ≈ 0.0698 rad ≈ 4°.

The angle for the first minimum in single-slit diffraction is given by sin(θ) = λ/a, where a is the slit width.

The first minimum in a single-slit diffraction pattern occurs at sin(θ) = λ/a, where a is the width of the slit.

Angular width = 2λ/a = 2(500 nm)/(0.5 mm) = 2(500 x 10^-9)/(0.5 x 10^-3) = 0.002 rad.

Angular width = 2λ/a. Here, a = 0.5 mm = 500 μm, so angular width = 2 * 500 nm / 500 μm = 0.002 rad = 0.2 rad.

The first minimum in a single-slit diffraction pattern occurs at θ = λ/a, where a is the width of the slit.

Two parallel wires carrying currents in the same direction experience an attractive force between them.