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Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm. Coming from a distant object, the limit of resolution of the telescope is close to:
  • a)
    1.5 x 10-7 rad
  • b)
    2.0 x 10-7 rad
  • c)
    3.0 x 10-7 rad
  • d)
    4.5 x 10-7 rad
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Diameter of the objective lens of a telescope is 250 cm. For light of...
To determine the limit of resolution of a telescope, we can use the formula:

θ = 1.22 * (λ / D)

where:
θ is the angular resolution (in radians),
λ is the wavelength of light (in meters), and
D is the diameter of the objective lens (in meters).

Given:
D = 250 cm = 2.5 meters
λ = 600 nm = 600 * 10^-9 meters

Substituting these values into the formula, we have:

θ = 1.22 * (600 * 10^-9 / 2.5)

Simplifying the expression:

θ = 1.22 * (0.00024)

θ ≈ 2.93 * 10^-4 radians

Converting this to scientific notation:

θ ≈ 2.93 * 10^-7 radians

Therefore, the limit of resolution of the telescope is close to 2.93 * 10^-7 radians.

The closest option to this value is option 'C' which is 3.0 * 10^-7 radians.
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Community Answer
Diameter of the objective lens of a telescope is 250 cm. For light of...
= 3.0 x 10-7rad
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Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm. Coming from a distant object, the limit of resolution of the telescope is close to:a)1.5 x 10-7 radb)2.0 x 10-7 radc)3.0 x 10-7 radd)4.5 x 10-7 radCorrect answer is option 'C'. Can you explain this answer?
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Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm. Coming from a distant object, the limit of resolution of the telescope is close to:a)1.5 x 10-7 radb)2.0 x 10-7 radc)3.0 x 10-7 radd)4.5 x 10-7 radCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm. Coming from a distant object, the limit of resolution of the telescope is close to:a)1.5 x 10-7 radb)2.0 x 10-7 radc)3.0 x 10-7 radd)4.5 x 10-7 radCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm. Coming from a distant object, the limit of resolution of the telescope is close to:a)1.5 x 10-7 radb)2.0 x 10-7 radc)3.0 x 10-7 radd)4.5 x 10-7 radCorrect answer is option 'C'. Can you explain this answer?.
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