College

(a) A telescope with a focal length of [tex]F = 3000 \, \text{mm}[/tex] is used with a CCD camera with a chip 5 mm across. What is the angle of the field of view, i.e., what angle is subtended by two stars, one on each edge of the chip?

Give the result in units of arc minutes and arc seconds.

Answer :

Final answer:

The angle of the field of view, i.e., the angle subtended by two stars, one on each edge of the chip, is approximately 326.39 arc minutes or 19583.4 arc seconds.

Explanation:

To calculate the angle of the field of view, we can use the formula:

Angle of Field of View = 2 * arctan(chip size / (2 * focal length))

Given:

  • Chip size = 5 mm
  • Focal length = 3000 mm

Substituting these values into the formula:

Angle of Field of View = 2 * arctan(5 mm / (2 * 3000 mm))

Calculating the value:

Angle of Field of View = 2 * arctan(0.0016667)

Using a calculator, we find that arctan(0.0016667) is approximately 0.095 radians.

Converting radians to arc minutes and arc seconds:

1 radian = 3437.75 arc minutes

1 arc minute = 60 arc seconds

Therefore, the angle of the field of view is approximately:

0.095 radians * 3437.75 arc minutes/radian = 326.39 arc minutes

326.39 arc minutes * 60 arc seconds/arc minute = 19583.4 arc seconds

Learn more about angle of field of view in telescope here:

https://brainly.com/question/31860919

#SPJ14

Other Questions