High School

Find the f-number of a telescope with an objective diameter of 9.2 cm and a focal length of 83 cm.

Answer :

To calculate the f-number of a telescope, divide the focal length of 83 cm by the objective diameter of 9.2 cm, resulting in an f-number of approximately 9.02.

To find the f-number of a telescope with an objective diameter of 9.2 cm and a focal length of 83 cm, we use the formula for the f-number, which is defined as:

f-number (f/#) = focal length (f) / objective diameter (D)

In this case, the focal length f is given as 83 cm, and the objective diameter D is 9.2 cm. Plugging these values into the formula gives us:

f/# = 83 cm / 9.2 cm

Upon calculating, the f-number is approximately 9.02. Therefore, the f-number of the telescope in question is 9.02.

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