Rocky enjoys snuba diving, which is combination of scuba diving and snorkeling. One day he notices two large metallic slabs that have sunk to the bottom of a nearby lake. He brings them to the shore and determines one to be aluminum (density 2.7 g/cm3) and the other to be lead (density 11.3 g/cm3). Both slabs weigh 10 kg. Which slab is associated with the larger buoyancy force?

From Pascal's principles we know that when a body is immersed in a liquid there is a balance between the weight and the buoyancy force exerted by the liquid. This pushing force is equal to the weight of the liquid displaced by it. The mathematical description of this force is given as,

Here,

V = Volume of the Object immersed

= Density of liquid

g = Gravity

The values of our materials are,

Density of Al = 2.7 gm/cc

Density of Lead = 11.3 gm/cc

Both slabs has the same mass (10 kg)

A direct conclusion we have is that Al is less dense than Lead, therefore Al slab will have a larger volume than lead.

Hence, Al slab will be associated with the larger buoyant force.

answer: its c lololo

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.