Cumulative Problem 23 L12E Sometime around 2022, astronomers at the European Sou

Question

Cumulative Problem 23 L12E Sometime around 2022, astronomers at the European Southern Observatory hope to begin using the E-ELT(European Extremely Large Telescope), which is planned to have a primary mirror 42 m in diameter. Let us assume that the light it focuses has a wavelength of 530 nm. (1 light-year 9.461×10', m) Note: Jupiter's Diameter di-1.43 × 108 m 1) What is the most distant Jupiter-sized planet the telescope could resolve, assuming it operates at the diffraction limit? (Express your answer to two significant figures.) 15 8.64 You currently have 3 submissions for this question. Only 10 submission are allowed. You can make 7 more submissions for this question. x10 m Submit Your submissions: 8.64 x Computed value: 8.64 Submitted: Monday, November 27 at 11:10 PM Feedback: 2) What is the most distant Jupiter-sized planet the telescope could resolve, assuming it operates at the diffraction limit? (Express your answer to two significant figures.) ly Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. Your submissions:

Explanation / Answer

given

minimum angular separation to resolve,

theta = 1.22*lamda/d

= 1.22*530*10^-9/42

= 1.539*10^-8 rad

now use, s = r*theta ( s is the diameter and r is the distance from planet to our eye)

r = s/theta

= 1.43*10^8/(1.539*10^-8)

= 9.29*10^15 m <<<<<<<<<<----------------------Answer

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.