THE PRACTICE STUDIO
Go slowly. Ask why. Make it yours.
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.
Study with a tutor prompt
Copy this into your AI assistant, then describe where you got stuck. It asks the tutor to coach you one step at a time. Check its reasoning against the lesson.
Opening this prompt marks this practice attempt as assisted.
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.
Start with the smallest hint.
Work through it with me.
One decision at a time. Pause, predict, then unpack the algebra.
Connect objective and eyepiece focal lengths in a relaxed-eye telescope.
Follow the intermediate image
The objective image height is proportional to its focal length and the incoming angle.
Why is this step valid?
A distant object forms its paraxial real image in the objective focal plane.
Relate the outgoing angle
At normal adjustment this image is in the eyepiece focal plane.
Why is this step valid?
Dividing outgoing by incoming angle cancels the intermediate image height relation.
Evaluate the ratio
Use the same units for both focal lengths.
Why is this step valid?
This is a dimensionless angular magnitude; the two-lens image is inverted.
The normal-adjustment separation places the focal planes together.
TRY THE IDEA AGAIN
Using an eyepiece with twice the focal length gives magnification magnitude…
YOUR LEARNING NOTE
How does this idea feel now?
Confidence is a reflection, not proof of mastery.
Loading… · 0 answer checks
Loading your learning note…