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Question

A terrestrial telescope (a "spyglass") with a diameter of $2.0 \mathrm{~cm}$ is attached to a rifle and used for target practice with targets that are $300 \mathrm{~m}$ away. What is the smallest feature on the target that can be resolved with this telescope? Assume $\lambda=400 \mathrm{~nm}$. Ignore the effect of the Earth's atmosphere on the resolution.

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VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 8**Given Data:**

- Distance from the specimen: $L = 300 \, \text{m}$
- Wavelength: $\lambda = 400 \, \text{nm} = 4.0 \times 10^{-7} \, \text{m}$
- Lens diameter/Circular opening diameter: $D = 2.0 \, \text{cm} = 0.02 \, \text{m}$

**Required Data:**

Smallest feature of the camera (minimum height of the object): $h$ when $\theta_{\text{min}}$

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