Based on the spectrum observed for incandescent white light, rank the colors in the visible spectrum from highest energy to lowest energy

See below.  

Step-by-step explanation:

An incandescent lamp produces all colours of the visible spectrum, with wavelengths ranging from approximately 400 nm (violet) to 700 nm (red).

Since energy is inversely proportional to wavelength,

E ∝ 1/λ

a quantum of 400 nm violet light has more energy than one of 700 nm red light.

An incandescent lamp produces a relatively small amount of the high-energy blue/violet light ( see image below).

The table below gives the colours in the visible spectrum, ranked from highest to lowest energy.

Colour        λ/nm      

Violet      400 – 450

Blue        450 – 490

Cyan       490 – 520

Green     520 – 560

Yellow    560 – 590

Orange  590 – 635

Red        635 – 700

c-14 is carbon-14, or radiocarbon.   it is a radioactive isotope of carbon with an atomic nucleus containing 6 protons and 8 neutrons.