As temperature increases, the viscosity of a liquid generally decreases because the increased thermal energy allows the molecules to move more freely.

The viscosity of gases increases with an increase in temperature due to increased molecular motion.

When a capacitor is fully charged, the voltage across it equals the supply voltage.

According to Charles's Law, at constant pressure, the volume of a gas increases with an increase in temperature.

According to Charles's Law, the volume of a gas increases with an increase in temperature at constant pressure.

At a height equal to the radius of the Earth, the weight is halved due to the inverse square law of gravitation.

Generally, the Young's modulus of materials decreases with an increase in temperature.

Generally, the Young's modulus of a material decreases when it is heated due to increased atomic vibrations.

Brewster's angle can be calculated using the formula tan(θ) = n, which gives approximately 53 degrees for n = 1.5.

Brewster's angle is the angle of incidence at which light is reflected with maximum polarization.

Lenz's law states that the direction of induced current is such that it opposes the change in magnetic flux that produced it.

Poisson's ratio (ν) is defined as the ratio of lateral strain to longitudinal strain.

Self-inductance is the property of a coil to induce an EMF in itself due to a change in current.

Self-induction is the phenomenon where a changing current in a coil induces an EMF in the same coil.

Surface tension is defined as the force acting along the surface of a liquid per unit length.

At height equal to radius, g' = g / (1 + h/R)² = g / (2)² = g/4.

The acceleration of a rolling object down an incline is given by g sin(θ)/2, considering both translational and rotational motion.

In uniform circular motion, velocity is tangential and acceleration is radial, hence the angle is 90°.

Light is completely polarized upon reflection at Brewster's angle, which is given by the formula tan(θ_B) = n2/n1.

The angular momentum L of a rolling object about its center of mass is given by L = mv + Iω, where I is the moment of inertia and ω is the angular velocity.

Angular velocity (ω) = 2π * (300/60) = 10π rad/s.

Angular velocity ω = θ/t = (10 * 2π rad) / 5 s = 4π rad/s.

The fission of one uranium-235 nucleus releases approximately 200 MeV of energy.

The average kinetic energy of a gas molecule is given by the formula KE_avg = (3/2)kT, where k is the Boltzmann constant.

The average kinetic energy of one mole of an ideal gas is given by the formula KE = (3/2)RT, where R is the gas constant and T is the temperature in Kelvin.

Average power (P) is given by P = V_rms * I_rms * PF. Therefore, P = 100 V * 5 A * 0.8 = 400 W.

Average power (P_avg) is given by P_avg = P_max × power factor. Therefore, P_avg = 100 W × 0.8 = 80 W.

Typical semiconductors have a band gap energy in the range of 1-3 eV.

Silicon has a band gap energy of approximately 1.1 eV, which is suitable for many electronic applications.

The band gap energy of silicon at room temperature is approximately 1.1 eV.