Modélisation et tracé

La lunette astronomique - Physique-Chimie Spécialité

Exercice 1 : Tracer l'image d'un objet par une lentille convergente

Tracer les 3 rayons remarquables issus de \( B \).
Tracer ensuite l'image de l'objet \( AB \), qu'on symbolisera par un segment.

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Exercice 2 : Tracer les rayons remarquables d'un objet situé sur le plan focal d'une lentille convergente

Tracer les 2 rayons remarquables issus de B.

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Exercice 3 : Déterminer la marche d'un rayon lumineux dans le cas d'une lunette astronomique

On modélise une lunette astronomique par l'association de deux lentilles minces convergentes. Le foyer image \( F'_{obj} \) de l'objectif coïncide avec le foyer objet de l'occulaire \( F_{ocu} \).

Compléter le schéma suivant en indiquant la marche du rayons lumineux issu du point \( B_{\infty} \).

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Exercice 4 : Tracer les rayons remarquables d'un objet situé à l'infini

Compléter le chemin des rayons lumineux issus de \( B \) situé à l'infini.
Tracer ensuite l'image de l'objet \( AB \), qu'on symbolisera par un segment.

{"init": {"range": [[-14, 15], [-10, 10]], "scale": [25, 25]}, "line": [[[-14.0, -10.0], [15.0, -10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -9.0], [15.0, -9.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -8.0], [15.0, -8.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -7.0], [15.0, -7.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -6.0], [15.0, -6.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -5.0], [15.0, -5.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -4.0], [15.0, -4.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -3.0], [15.0, -3.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -2.0], [15.0, -2.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -1.0], [15.0, -1.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 0.0], [15.0, 0.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 1.0], [15.0, 1.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 2.0], [15.0, 2.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 3.0], [15.0, 3.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 4.0], [15.0, 4.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 5.0], [15.0, 5.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 6.0], [15.0, 6.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 7.0], [15.0, 7.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 8.0], [15.0, 8.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 9.0], [15.0, 9.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, 10.0], [15.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-14.0, -10.0], [-14.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-13.0, -10.0], [-13.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-12.0, -10.0], [-12.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-11.0, -10.0], [-11.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-10.0, -10.0], [-10.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-9.0, -10.0], [-9.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-8.0, -10.0], [-8.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-7.0, -10.0], [-7.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-6.0, -10.0], [-6.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-5.0, -10.0], [-5.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-4.0, -10.0], [-4.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-3.0, -10.0], [-3.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-2.0, -10.0], [-2.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-1.0, -10.0], [-1.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, -10.0], [0.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[1.0, -10.0], [1.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[2.0, -10.0], [2.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[3.0, -10.0], [3.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[4.0, -10.0], [4.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[5.0, -10.0], [5.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[6.0, -10.0], [6.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[7.0, -10.0], [7.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[8.0, -10.0], [8.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[9.0, -10.0], [9.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[10.0, -10.0], [10.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[11.0, -10.0], [11.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[12.0, -10.0], [12.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[13.0, -10.0], [13.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[14.0, -10.0], [14.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[15.0, -10.0], [15.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[-15.0, 0.0], [15.0, 0.0], {"subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [0.0, 9.0], {"subtype": "vector", "arrow-end": "classic-wide-long"}], [[0.0, 0.0], [0.0, -9.0], {"subtype": "vector", "arrow-end": "classic-wide-long"}], [[-6.0, 3.0], [-3.0, 1.5], {"subtype": "segment", "arrow-end": "classic-wide-long", "stroke": "blue"}], [[-6.0, 0.0], [-3.0, -1.5], {"subtype": "segment", "arrow-end": "classic-wide-long", "stroke": "blue"}], [[0.0, 0.0], [-14.0, 7.0], {"subtype": "ray", "stroke": "blue", "color": "blue"}], [[0.0, -3.0], [-14.0, 4.0], {"subtype": "ray", "stroke": "blue", "color": "blue"}], [[0.0, 0.0], [-14.0, 7.0], {"subtype": "ray", "stroke": "blue", "color": "blue"}], [[0.0, -3.0], [-14.0, 4.0], {"subtype": "ray", "stroke": "blue", "color": "blue"}]], "label": [[[-6.0, 0.0], "Fobj", "below left", {}], [[6.0, 0.0], "Focu", "below left", {}], [[0.0, 0.0], "O", "below left", {}], [[-12.0, 0.0], "A\u221e", "below left", {}], [[-12.0, 6.0], "B\u221e", "below left", {}]], "circle": [[[-6.0, 0.0], 0.1, {"fill": "black"}], [[6.0, 0.0], 0.1, {"fill": "black"}], [[0.0, 0.0], 0.1, {"fill": "black"}]], "drawing_options": {"tools": ["ray_of_light", "segment", "no_construction"]}}

Exercice 5 : Déterminer la marche d'un rayon lumineux particulier

Compléter le schéma suivant en indiquant la marche du rayon lumineux émergent de la lentille convergente.

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