The power factor is defined as the ratio of real power to apparent power.

Fourier's Law of Heat Conduction states that the rate of heat transfer by conduction is directly proportional to the area and the temperature gradient.

The rate of heat transfer by conduction is directly proportional to the temperature difference between the two ends.

Restoring force F = -kx, where k is the spring constant and x is the displacement.

The right-hand rule can be used to determine the direction of the magnetic field, current, and force in electromagnetic situations.

The kinetic energy per molecule is given by KE = (1/2) * m * v^2. Thus, KE = 0.5 * m * (250)^2.

Speed of sound = sqrt(γRT/M) = sqrt(1.4 * (300^2)) = 400 m/s.

The speed of sound in a gas is given by c = sqrt(γRT/M). For an ideal gas, c is approximately 1.4 times the RMS speed.

A soap bubble adopts a spherical shape because it minimizes the surface area for a given volume, which is energetically favorable due to surface tension.

The Stefan-Boltzmann Law relates to radiation, stating that the total energy radiated per unit surface area is proportional to the fourth power of the black body's temperature.

The capillary rise method is commonly used to measure surface tension by observing the height to which a liquid rises in a capillary tube.

True value can be in the range of (Measured value - Error) to (Measured value + Error) = 25°C ± 1°C = 24°C to 26°C.

The time period of a satellite in a low Earth orbit is approximately 90 minutes due to its close proximity to the Earth.

If the mass is doubled, the new time period T' = 2π√(2m/k) = √2 * (2π√(m/k)) = √2 * T. Thus, the time period increases.

Total energy E = 1/2 kA^2, where A is the amplitude.

Total mechanical energy in SHM is E = 1/2 kA^2, where A is the amplitude.

The SI unit of electric charge is Coulomb (C).

The SI unit of energy is Joule (J).

The SI unit of pressure is Pascal (Pa), defined as one newton per square meter (N/m²).

The SI unit of pressure is Pascal (Pa), defined as one newton per square meter (N/m²).

Using the power of a power property, (a^m)^n = a^(m*n), we get (x^2)^3 = x^(2*3) = x^6.

Maximum possible weight = Measured weight + Absolute error = 10 + 0.1 = 10.1 kg.

True weight range = Measured value ± Absolute error = 200 ± 5 = 195 g to 205 g.

The work done in moving a charge in an electric field is equal to the change in electric potential energy.

Using Newton's second law, the net force is (3 kg * 9.8 m/s²) - (2 kg * a) = (2 kg + 3 kg) * a. Solving gives a = 1.2 m/s².

Using Newton's second law, the net force is (3 kg - 2 kg) * g = 1 kg * 9.8 m/s². The total mass is 5 kg, so a = F/m = 9.8 N / 5 kg = 1.96 m/s², approximately 2 m/s².

For capacitors in series, the equivalent capacitance C_eq is given by 1/C_eq = 1/C1 + 1/C2. Thus, 1/C_eq = 1/2 + 1/3 = 5/6, so C_eq = 6/5 = 1.2μF.

The equivalent capacitance of capacitors in series is given by 1 / (1/C1 + 1/C2).

Relative speed = 50 km/h + 70 km/h = 120 km/h = 33.33 m/s. Time = Distance/Speed = 200 m / 33.33 m/s = 6 seconds.

Relative speed = 50 km/h + 70 km/h = 120 km/h = 33.33 m/s. Time = Distance / Relative speed = 200 m / 33.33 m/s = 6 seconds.