Question

A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is 5000 Å, is of the order of-

Answer 1

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Answer 2

Answer:

5mm

Explanation:

Diameter of the objective lens of telescope = 10cm (Given)

Distance between them = 1km (Given)

Wavelength of light = 5000 Å, (Given)

Thus, according to the formula -

θ = x/d = 1.22λ/a

= x = 1.22 × d/a

= 1.22 × 5000 ×10`−10×10`3 / 10×10`−2

= 6.1mm ( x is of the order of 5 mm)

Thus, the minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is 5000 Å, is of the order of 5mm.