Shear modulus is generally less than Young's modulus for most materials.

In a Newtonian fluid, shear stress is directly proportional to shear rate.

In a Newtonian fluid, shear stress is directly proportional to shear rate, which defines its viscosity.

The relationship between shear stress and shear strain is defined by the shear modulus.

Within the elastic limit, stress is directly proportional to strain, as described by Hooke's Law.

In the elastic region, stress is directly proportional to strain, as described by Hooke's Law.

Surface tension is inversely proportional to temperature for most liquids.

Due to surface tension, liquid droplets tend to minimize their surface area, resulting in a spherical shape.

The average kinetic energy of particles in a substance is directly proportional to its temperature.

The temperature of a substance is directly proportional to the average kinetic energy of its particles.

For most liquids, viscosity decreases with an increase in temperature due to increased molecular motion.

In general, the viscosity of liquids decreases with an increase in temperature, making them flow more easily.

The amplitude of a damped oscillator decreases exponentially with time.

The angle of diffraction is inversely proportional to the wavelength; as the wavelength increases, the angle of diffraction increases.

The angle of incidence and angle of diffraction are related by the grating equation d sin(θ) = mλ.

At the angle of polarization, the angle of incidence is equal to the angle of refraction.

In total internal reflection, the angle of incidence is equal to the angle of reflection.

The relationship is given by v = ωr, where r is the radius of the circular path.

Linear velocity (v) is related to angular velocity (ω) by the formula v = ωr.

Linear velocity (v) is related to angular velocity (ω) by the equation v = ωr.

The average kinetic energy of gas molecules is directly proportional to the absolute temperature (KE ∝ T).

For an ideal gas, the RMS speed is always greater than the average speed due to the squaring of velocities in the RMS calculation.

For an ideal gas, the RMS speed is always greater than the average speed due to the nature of the distribution of molecular speeds.

The relationship is K = C + 273.15, where K is the temperature in Kelvin and C is the temperature in Celsius.

Critical damping occurs at a specific value of the damping coefficient, which separates under-damping from over-damping.

A damping ratio of 1 indicates critical damping, while less than 1 indicates underdamping and greater than 1 indicates overdamping.

A damping ratio less than 1 indicates underdamping, equal to 1 indicates critical damping, and greater than 1 indicates overdamping.

In polarized light, the electric field and magnetic field are always perpendicular to each other.

In linearly polarized light, the electric field vector is perpendicular to the direction of propagation.

The relationship is given by Frequency = 1/Period.