the thirty meter telescope will be commissioned in year 2022. its reflective mirror will be 30 m in diameter, as thetelescope name suggests. in december 2022, mars will be at its closest approach to earth of about 80,000,000 km (suchclose approaches happen approximately once in three years). which of the following object sizes will the telescope beable to resolve on mars? the wavelength of visible light ranges from 400 to 700 nm. (1) 2 km (2) 200 m (3) 20 m (4) 2 m (5) 20 cm

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19-12-2022
Physics

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the thirty meter telescope will be commissioned in year 2022. its reflective mirror will be 30 m in diameter, as thetelescope name suggests. in december 2022, mars will be at its closest approach to earth of about 80,000,000 km (suchclose approaches happen approximately once in three years). which of the following object sizes will the telescope beable to resolve on mars? the wavelength of visible light ranges from 400 to 700 nm. (1) 2 km (2) 200 m (3) 20 m (4) 2 m (5) 20 cm

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Qwseed Qwseed · Answer 1 · 2022-12-24T07:46:25+01:00

To determine which of the given object sizes the Thirty Meter Telescope will be able to resolve on Mars, we can use the formula for angular resolution:

θ = 1.22*(λ/D)

where θ is the angular resolution, λ is the wavelength of the light being used, and D is the diameter of the telescope's mirror.

In this case, the distance to Mars is approximately 80,000,000 km, and the diameter of the telescope's mirror is 30 m. If we assume that the telescope will be using visible light with a wavelength of 500 nm, the angular resolution will be:

θ = 1.22*(500 nm/30 m)

= 0.041 arcseconds

To determine the size of the smallest objects that the telescope will be able to resolve on Mars, we can use the formula:

size = distance * θ

If we plug in the values for the distance to Mars and the angular resolution, we find that the smallest size of object that the telescope will be able to resolve on Mars is:

size = 80,000,000 km * 0.041 arcseconds

= 3,280,000 km

This is much larger than any of the given object sizes. Therefore, the Thirty Meter Telescope will not be able to resolve any of the given object sizes on Mars.

Note: This calculation assumes that the telescope is using visible light, which has a wavelength of approximately 500 nm. If the telescope is using a different wavelength, such as infrared or radio waves, the angular resolution may be different and the size of the smallest objects that the telescope can resolve may be different.

Learn more about angular resolution:
https://brainly.com/question/17276529

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