Statement 1 - Apparent position of the object keeps fluctuating when seen through a hot air

Statement2 - Hotter air and cooler air have same refractive index, so no dispersion happens.

Q. Statement 1: The apparent position of an object keeps fluctuating when seen through media of varying density.

Statement 2: As the refractive index of a medium changes with density, the path of light reaching our eyes also changes.

Q. Hotter air : ____ refractive index : : cooler air : _____ refractive index

Q.

Statement 1: on a hot day a straight road from a distance appears wet. This happens because of refraction.

Statement 2: on a hot day the air above the road in contact with the road is hotter and less dense therefore has less refractive index than the cool air above it. When light comes through denser medium to rarer medium(here cooler air to hotter air) it is internally reflected which makes the road appear wet and shiny.

Q.

Which has a higher refractive index, cooler air or hotter air?

Q. A transparent cube contains a small air bubble. Its apparent is $2cm$ when seen through one face and $5cm$ when seen through other face. If the refractive index of the material of the cube is $1.5$, the real length of the edge of cube must be