1. The relationship between wavelength and frequency in a wave is inversely proportional. This means that as the wavelength of a wave increases, its frequency decreases, and vice versa. Mathematically, this relationship can be expressed as: speed = wavelength x frequency.
2. A sound wave travels faster through a solid than a gas because the particles in a solid are packed closely together, allowing the wave to propagate faster through the material due to more frequent collisions between particles. In contrast, in a gas, the particles are further apart, leading to a slower propagation of sound waves as there are fewer collisions between particles to transmit the wave.
3. Sound waves cannot travel in outer space, which is a vacuum, because sound requires a medium (such as air, water, or solid materials) to propagate. In the absence of a medium, like in the vacuum of outer space, there are no particles for the sound wave to interact with and transmit the vibrations. As a result, sound waves are unable to travel through the vacuum of space.
4. To summarize, the relationship between wavelength and frequency in a wave is inverse, sound waves travel faster through solids due to the closely packed particles facilitating wave propagation, and sound waves cannot travel in outer space because it lacks a medium for the wave to travel through.
