Long answer·Hard exam skill (4/5)·Calculator allowed

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

An astronomical telescope has objective focal length 80 cm80\text{ cm} and eyepiece focal length 4.0 cm4.0\text{ cm}. Find its magnifying power and tube length in normal adjustment. Then find the magnifying power when final image is formed at the near point D=25 cmD=25\text{ cm}.
Total: 5 marks

(a) Find magnifying power in normal adjustment. (1 mark)

(b) Find tube length in normal adjustment. (1 mark)

(c) Find magnifying power for final image at the near point. (3 marks)

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