The change in entropy (ΔS) for the phase change is calculated as ΔS = Q/T = 2260 J / 373 K = 6.06 J/K, but for 1 kg, it is 2260 J/K.

ΔS = nR ln(Vf/Vi) = 1 * 8.314 * ln(20/10) = 1.0 J/K.

Charge Q = C * V = 5 x 10^-6 F * 10 V = 50 µC.

Charge Q = C * V = 5 x 10^-6 F * 10 V = 0.05 mC.

The coefficient of linear expansion α = ΔL / (L0 * ΔT) = 0.01 / (2 * 80) = 1.25 x 10^-5 /°C.

The coefficient of linear expansion (α) is calculated as α = ΔL / (L0 * ΔT) = 0.01 / (2 * 80) = 1 x 10^-4 /°C.

Time dilation is a phenomenon in special relativity where time is observed to move slower for an object in motion relative to a stationary observer.

Wave-particle duality is a fundamental concept in quantum mechanics that states that every particle or quantum entity can be described as either a particle or a wave, depending on the experimental conditions.

Pure rolling motion occurs when the point of contact between the rolling object and the surface is at rest relative to the surface, meaning there is no sliding.

Constructive interference occurs when the path difference between two coherent waves is an integer multiple of the wavelength, nλ.

Constructive interference occurs when the path difference between two waves is an even multiple of the wavelength.

The critical angle can be calculated using sin(θc) = n2/n1, which gives θc = sin^(-1)(1/1.5) = 41.8 degrees.

The critical angle θc can be calculated using sin(θc) = n2/n1, where n1 is the refractive index of the medium where the light is coming from.

Using Ohm's Law: I = V / R = 100 V / 20 Ω = 5 A.

Using Ohm's Law: I = V/R = 30 V / 10 Ω = 3 A.

Using Ohm's law, I = V/R = 36V / 12Ω = 3A.

Using Ohm's Law, I = V/R. Here, I = 45V / 15Ω = 3 A.

Using Ohm's law, I = V/R = 15 V / 5 Ω = 3 A.

Using Ohm's law, I = V/R = 15V / 5Ω = 3 A.

Dielectric constant ε_r = C_material / C_air = 30 µF / 10 µF = 3.

A prism disperses white light into its constituent colors due to refraction.

Adding a dielectric increases the capacitance of the capacitor.

A capacitor stores energy when connected in parallel with a resistor, affecting the circuit's behavior over time.

Friction opposes the motion of an object, thus decreasing its acceleration according to Newton's laws.

The induced emf depends on the rate of change of magnetic flux, not directly on the area of the loop in a uniform magnetic field. Therefore, it remains the same if the magnetic field is constant.

Increasing the capacitance in an RC circuit increases the time constant τ = R*C, making the charging and discharging processes slower.

Capacitance decreases as the distance between the plates increases.

Capacitance (C) is inversely proportional to the distance (d) between the plates. Increasing d decreases C.

According to the inverse square law, increasing the distance between two masses decreases the gravitational force between them.

Increasing the intensity of light increases the number of photons hitting the surface, which in turn increases the number of emitted electrons, provided the frequency is above the threshold.