Answer:
the most accurate telescope
Explanation:
The resolution limit of any telescope is determined by the diffraction effects, which is described by the equation
a sinθ = m λ
Where a is the width of a linear slit, λ the wavelength and m e an integer that indicates the order of diffraction, in this case m = 1 is used to have the width of the central maximum,
sin θ = λ / a
Since the angles are very small, we can approximate the sine to the value of the Angle
θ = λ / a
In the case of circular objects, polar coordinates must be used, the expression changes to a constant
θ = 1.22 λ / a
Let's apply this equation to the two telescopes
Telescope
θ₁ = 1.22 5.0 10⁻⁷ / 2
θ₁ = 3.05 10⁻⁷ rad
Radio Telescope
θ₂ = 1.22 2.1 10⁻² / 10
θ₂ = 2.56 10⁻³ rad
We compare the two values
θ₁ <θ₂
the most accurate telescope
