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A telescope has an objective lens of 10 cmdiameter and is situated at a distance of onekilometer from two objects. The minimumdistance between these two objects, which canbe resolved by the telescope, when the meanwavelength of light is 5000 Å, is of the order of [2004]
- a)5 cm
- b)0.5 m
- c)5 m
- d)5 mm
Correct answer is option 'D'. Can you explain this answer?
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A telescope has an objective lens of 10 cmdiameter and is situated at ...
or, x = 1.22 × 5 × 10–3 m = 6.1 mm
∴ x is of the order of 5 mm.
∴ x is of the order of 5 mm.
Most Upvoted Answer
A telescope has an objective lens of 10 cmdiameter and is situated at ...
Angstroms, can be calculated using the Rayleigh criterion:
θ = 1.22 λ/D
where θ is the angular resolution, λ is the wavelength of light, and D is the diameter of the objective lens.
In this case, we have:
D = 10 cm = 0.1 m
λ = 5000 angstroms = 500 nm = 5 × 10^-7 m
So, the angular resolution is:
θ = 1.22 × 5 × 10^-7 / 0.1
θ = 6.1 × 10^-9 radians
To find the minimum distance that can be resolved, we need to use the small angle approximation:
θ ≈ d / D
where d is the distance between the two objects and D is the distance from the telescope to the objects.
In this case, we have:
D = 1 km = 10^3 m
So, the minimum distance that can be resolved is:
d = θ × D
d = 6.1 × 10^-9 × 10^3
d = 6.1 × 10^-6 m
Therefore, the minimum distance that can be resolved by the telescope is 6.1 micrometers.
θ = 1.22 λ/D
where θ is the angular resolution, λ is the wavelength of light, and D is the diameter of the objective lens.
In this case, we have:
D = 10 cm = 0.1 m
λ = 5000 angstroms = 500 nm = 5 × 10^-7 m
So, the angular resolution is:
θ = 1.22 × 5 × 10^-7 / 0.1
θ = 6.1 × 10^-9 radians
To find the minimum distance that can be resolved, we need to use the small angle approximation:
θ ≈ d / D
where d is the distance between the two objects and D is the distance from the telescope to the objects.
In this case, we have:
D = 1 km = 10^3 m
So, the minimum distance that can be resolved is:
d = θ × D
d = 6.1 × 10^-9 × 10^3
d = 6.1 × 10^-6 m
Therefore, the minimum distance that can be resolved by the telescope is 6.1 micrometers.
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A telescope has an objective lens of 10 cmdiameter and is situated at a distance of onekilometer from two objects. The minimumdistance between these two objects, which canbe resolved by the telescope, when the meanwavelength of light is 5000 Å, is of the order of [2004]a)5 cmb)0.5 mc)5 md)5 mmCorrect answer is option 'D'. Can you explain this answer?
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A telescope has an objective lens of 10 cmdiameter and is situated at a distance of onekilometer from two objects. The minimumdistance between these two objects, which canbe resolved by the telescope, when the meanwavelength of light is 5000 Å, is of the order of [2004]a)5 cmb)0.5 mc)5 md)5 mmCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A telescope has an objective lens of 10 cmdiameter and is situated at a distance of onekilometer from two objects. The minimumdistance between these two objects, which canbe resolved by the telescope, when the meanwavelength of light is 5000 Å, is of the order of [2004]a)5 cmb)0.5 mc)5 md)5 mmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A telescope has an objective lens of 10 cmdiameter and is situated at a distance of onekilometer from two objects. The minimumdistance between these two objects, which canbe resolved by the telescope, when the meanwavelength of light is 5000 Å, is of the order of [2004]a)5 cmb)0.5 mc)5 md)5 mmCorrect answer is option 'D'. Can you explain this answer?.
A telescope has an objective lens of 10 cmdiameter and is situated at a distance of onekilometer from two objects. The minimumdistance between these two objects, which canbe resolved by the telescope, when the meanwavelength of light is 5000 Å, is of the order of [2004]a)5 cmb)0.5 mc)5 md)5 mmCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A telescope has an objective lens of 10 cmdiameter and is situated at a distance of onekilometer from two objects. The minimumdistance between these two objects, which canbe resolved by the telescope, when the meanwavelength of light is 5000 Å, is of the order of [2004]a)5 cmb)0.5 mc)5 md)5 mmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A telescope has an objective lens of 10 cmdiameter and is situated at a distance of onekilometer from two objects. The minimumdistance between these two objects, which canbe resolved by the telescope, when the meanwavelength of light is 5000 Å, is of the order of [2004]a)5 cmb)0.5 mc)5 md)5 mmCorrect answer is option 'D'. Can you explain this answer?.
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