Question

Question 6 1 pts What is the angular resolution of a 2.0 m telescope observing at a wavelength of 650 nm? Choose the closest answer. All answers are given in arcseconds. a) 0.48 b)0.007"c) 0.082" d) 0.065"

Answer 1

Option (C)

Step-by-step explanation:

The angular resolution formula,

Sin A= 0.25 (Wavelength ÷ Diameter)

where, wavelength is taken in micrometer and diameter is in meter.

Here, wavelength (W)= 650 nm = 0.65 μm (converting nanometer into micrometer)

Diameter= 2 m

now, according to the formula,

`\sin A=0.25* [(wavelength)/(diameter)]\\\\\sin A=0.25* (0.65\ \mu m)/(2\ m)\\\\\sin A=0.08125''\\\\\sin A\approx 0.082''`

Thus, the correct answer is option (C) i.e. 0.082 arc second.