Two stars are a distance \(1.5 \times 10^{8} \mathrm{~km}\) apart. At what distance can they be resolved by the unaided eye? Assume that the refractive index and the lens aperture of the eye are 1.34 and \(5 \mathrm{~mm}\), respectively. How much range improvement occurs if the eye now is aided by a telescope? Assume that a 200-inches astronomical telescope displaying the image on a TV screen.