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The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m?
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The headlights of a jeep are 1.2 m apart. If the pupil of the eye of a...
Calculation of Maximum Distance of Jeep from Observer
Given:
Distance between headlights of jeep, d = 1.2 m
Diameter of pupil of observer's eye, D = 2 mm
Wavelength of light used, λ = 5896 Å
Formula:
Angle of resolution, θ = 1.22λ/D
Maximum distance, L = d/2tanθ
Calculation:
θ = 1.22(5896 Å)/(2 mm) = 3.34 x 10^-4 rad
tanθ = 3.34 x 10^-4
L = (1.2 m)/(2 x 3.34 x 10^-4) = 1.80 x 10^3 m
Answer:
The maximum distance of the jeep from the observer should be 1.80 km (option c).
Explanation:
The angle of resolution is the smallest angle that two objects can be separated by and still be distinguished as two separate objects. For a given wavelength of light and diameter of the pupil of the observer's eye, the angle of resolution can be calculated using the formula θ = 1.22λ/D.
Once the angle of resolution is known, the maximum distance at which two objects can be resolved can be calculated using the formula L = d/2tanθ, where d is the distance between the objects.
In this case, the maximum distance at which the two headlights of the jeep can be resolved by the observer's eye is 1.80 km.
Given:
Distance between headlights of jeep, d = 1.2 m
Diameter of pupil of observer's eye, D = 2 mm
Wavelength of light used, λ = 5896 Å
Formula:
Angle of resolution, θ = 1.22λ/D
Maximum distance, L = d/2tanθ
Calculation:
θ = 1.22(5896 Å)/(2 mm) = 3.34 x 10^-4 rad
tanθ = 3.34 x 10^-4
L = (1.2 m)/(2 x 3.34 x 10^-4) = 1.80 x 10^3 m
Answer:
The maximum distance of the jeep from the observer should be 1.80 km (option c).
Explanation:
The angle of resolution is the smallest angle that two objects can be separated by and still be distinguished as two separate objects. For a given wavelength of light and diameter of the pupil of the observer's eye, the angle of resolution can be calculated using the formula θ = 1.22λ/D.
Once the angle of resolution is known, the maximum distance at which two objects can be resolved can be calculated using the formula L = d/2tanθ, where d is the distance between the objects.
In this case, the maximum distance at which the two headlights of the jeep can be resolved by the observer's eye is 1.80 km.
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The headlights of a jeep are 1.2 m apart. If the pupil of the eye of a...
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The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m?
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The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m?.
The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m?.
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The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m?, a detailed solution for The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m? has been provided alongside types of The headlights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 Å is used, what should be the maximum distance of the jeep from the observer if the two headlights are just separated :- (a) 33.9 km (b) 33.9 m (c) 3.34 km (d) 3.39 m? theory, EduRev gives you an
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