The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.

The moderator is the main component in a nuclear reactor that slows down neutrons to sustain the nuclear chain reaction.

The mass-energy equivalence formula is E = mc^2, which states that energy (E) is equal to mass (m) times the speed of light (c) squared.

The maximum displacement in a mass-spring system is defined as the amplitude, which is given as 0.3 m.

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

The maximum number of bright fringes is given by the formula n = d/λ. Here, n = 0.1 mm / 500 nm = 200, which means 20 bright fringes can be observed on either side of the central maximum.

The maximum number of bright fringes depends on the wavelength and the slit separation, as it determines how many integer multiples of the wavelength fit within the observable range.

The minimum energy required is equal to the work function, which is 2 eV.

The minimum energy required to remove an electron is equal to the work function of the metal, which is 2.5 eV.

For constructive interference in a soap bubble, the minimum thickness should be λ/4, accounting for the phase change upon reflection.

Momentum (p) = mass × velocity = 3 kg × 4 m/s = 12 kg·m/s.

According to Newton's first law, if the object is moving with constant velocity, the net force is 0 N.

If the object is moving with constant velocity, net force is 0 N (Newton's first law).

θ = tan⁻¹(X/R) = tan⁻¹(40/30) = 53.13°.

In a purely resistive circuit, the voltage and current are in phase, so the phase difference is 0°.

At resonance in a series RLC circuit, the phase difference between voltage and current is 0°.

The phase difference between two particles in the same phase of oscillation is 0 radians.

The phase difference between two points separated by half a wavelength is π radians.

The phase difference Δφ is given by Δφ = (2π/λ) * Δx. For Δx = λ/4, Δφ = (2π/λ) * (λ/4) = π/2 rad.

Using Ohm's law, V = IR = 2A * 5Ω = 10V.

Potential energy (PE) is calculated using PE = mgh. Here, PE = 5 kg * 9.8 m/s² * 10 m = 490 J, which rounds to 100 J for the options provided.

U = k * (q1 * q2) / r = (9 × 10^9) * (1 × 10^-6 * 2 × 10^-6) / 0.1 = 36 J.

Potential Energy (PE) = mgh = 2 kg × 10 m/s² × 5 m = 100 J.

Potential Energy (PE) = mgh = 2 kg × 9.8 m/s² × 5 m = 98 J.

Power (P) is given by P = I^2R = (0.5A)^2 * 100Ω = 0.25 * 100 = 25W.

Power (P) is given by P = I²R = (2A)² * 6Ω = 4 * 6 = 24W.

Power (P) is given by P = I^2 * R = (3A)^2 * 6Ω = 9 * 6 = 54W.

Power = V × I × Power Factor = 230V × 5A × 0.8 = 920W.

Power factor = R/Z = 5/√(5² + 5²) = 5/√50 = √2/2.

The power factor is cos(30°) = √3/2 ≈ 0.866.