Answer:
y = 150 Km
Explanation:
given,
Distance of the planet Mars from earth D = 2.11 × 10¹¹ m
The diameter of the telescope's objective lens d = 0.949 m
The wavelength of light λ = 553 nm
= 553 x 10⁻⁹ m
resolution of the telescope = ?
y = 150003 m
y = 150 Km
the minimum feature size is equal to y = 150 Km
To solve this problem we will apply the concepts related to the wavelength of its third harmonic.
It describes that the wavelength is equivalent to
Here,
The wavelength is in turn described as a function that depends on the change of the speed as a function of the frequency, that is to say
In this case the speed is equivalent to the speed of sound and the frequency was previously given, therefore
Finally the length of the pipe would be
