The shortest wavelengths occur in the:
red end of the spectrum
blue end of the spectrum
middle of the spectrum
the light-gathering capacity of a telescope is dependent upon the:
magnification
focal length
size of human iris
area of aperture

1) blue end of the spectrum

2) area of aperture

Explanation:

1) The electromagnetic spectrum encompases a wide range of frequency (ν) and wavelength (λ) that includes gamma rays, x-rays, ultra violet(UV), visible, infra red (IR), microwaves and radiowaves. The wavelength increases from gamma rays to radio waves.

The wavelength perceivable by human eyes lies in the UV-visible region which extends from 380 nm in the blue to 740 nm in the red.The shortest wavelengths occur in the blue end of the spectrum which also have the highest energy. In contrast, longer wavelengths occur on the red which have lower energy.

2) The light gathering capacity of a telescope is dependent upon its area of aperture. Larger the area, greater is the light gathering power which implies that the telescope has the capability of detecting weak or faint objects.

The area of the aperture is essentially the area of the objective of the telescopic lens which is given as:

where D = diameter of the lens

atomic number of carbon is 6

electronic configuration of carbon is 1s²2s²2p²

orbital diagram of carbon is as shown here in the image.

space exploration has led to the development and technological improvement of many everyday items. (if this answer is wrong i will find the right answer) : )