In a series circuit, total resistance R_total = R1 + R2 = 5 Ω + 10 Ω = 15 Ω.

In series, total resistance R_total = R1 + R2 = 5 + 10 = 15 Ω.

In a series circuit, removing a resistor decreases the total resistance because the total resistance is the sum of all resistances.

At resonance in a series RLC circuit, the inductive reactance (X_L) equals the capacitive reactance (X_C), hence X_L = X_C.

Increasing the resistance in a series RLC circuit decreases the bandwidth of the resonance because the quality factor (Q) is inversely proportional to resistance.

In a series RLC circuit, increasing the resistance decreases the bandwidth because the quality factor (Q) is inversely proportional to resistance.

Increasing the resistance in a series RLC circuit decreases the bandwidth of the resonance peak.

At resonance, the current is maximum in a series RLC circuit.

Beyond the resonant frequency, the circuit becomes more inductive, causing the current to decrease.

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

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 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.

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.

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