GEOLOGY

Detailed explanation-1: -The velocity of a wave is the distance travelled by a point on the wave. In general, for any wave, the relation between velocity and wavelength is proportionate.

Detailed explanation-2: -The rms velocity is directly proportional to the square root of temperature and inversely proportional to the square root of molar mass. Thus quadrupling the temperature of a given gas doubles the rms velocity of the molecules.

Detailed explanation-3: -The temperature of a substance is directly proportional to the average kinetic energy of the substance particles. Because the mass of these particles is constant, the particles must move faster as the temperature rises.

Detailed explanation-4: -The velocity of sound in gases is proportional to the square root of the absolute temperature (measured in Kelvin). Still, it is independent of the frequency of the sound wave or the pressure and the density of the medium.