For gases, viscosity increases with an increase in temperature due to increased molecular activity and collisions.

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.

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

According to Boyle's Law, the volume of a gas decreases when pressure increases at constant temperature.

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.

Denaturation refers to the process where proteins lose their native structure and function due to external factors like heat or pH changes.

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.

Raoult's Law states that the vapor pressure of a solvent in a solution is directly proportional to the mole fraction of the solvent.

Raoult's Law states that the vapor pressure of a solvent in a solution is directly proportional to the mole fraction of the solvent.

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.

The 75th percentile (Q3) is the value below which 75% of the data falls, which is 40.

a_7 = 2^7 + 3^7 = 128 + 2187 = 2315.

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.

The slopes of the lines are -2/3 and 4. The angle θ can be found using tan(θ) = |(m1 - m2) / (1 + m1*m2)|.

Using the formula for the angle between two lines, we find that the angle is 90 degrees.

The angle can be calculated using the slopes derived from the equation, leading to 90 degrees.

By completing the square, we can find the slopes of the lines and calculate the angle between them.

The slopes are m1 = 2 and m2 = -0.5. The angle θ is given by tan(θ) = |(m1 - m2) / (1 + m1*m2)| = |(2 + 0.5) / (1 - 1)|, which is undefined, indicating 90 degrees.