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PRACTICEIntermediate · Single correct

PRACTICE / Telescopes

Magnify the angle of a distant object

A refracting telescope uses a converging objective of focal length 0.80 m and a converging eyepiece of focal length 0.040 m. It is in normal adjustment for a distant object.

Find the angular magnification magnitude.

Organize the givens & assumptions
  • fo = 0.80 m
  • fe = 0.040 m

Paraxial thin lenses, final image at infinity and no additional erecting lens.

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Problem: Magnify the angle of a distant object
A refracting telescope uses a converging objective of focal length 0.80 m and a converging eyepiece of focal length 0.040 m. It is in normal adjustment for a distant object.
Question: Find the angular magnification magnitude.
Givens:
- fo = 0.80 m
- fe = 0.040 m
Assumptions: Paraxial thin lenses, final image at infinity and no additional erecting lens.
Choices (LaTeX):
A. 21
B. 0.84
C. 20
D. 0.05

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.
A NUDGE, NOT A SPOILER

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YOUR PACE

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One decision at a time. Pause, predict, then unpack the algebra.

YOUR LEARNING NOTE

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