Show that Eq. (6.36), relating the object and image distances measured from the vertices of a lens,

Question:

Show that Eq. (6.36), relating the object and image distances measured from the vertices of a lens, reduces to Gauss€™s Formula [Eq. (5.17)] for thin lenses. Remember that when s₀> 0, d_1O< 0 and when s_i> 0, d_I2> 0.

(5.17) Si So ||

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Optics

ISBN: 978-0133977226

5th edition

Authors: Eugene Hecht

See More Books

Question Posted: Jan 08, 2019 10:14 AM

See More Questions

A concave mirror with a focal length of 36 cm produces an image whose distance from the mirror is one-third the object distance. Find the object and image distances.
In a convenient form of the thin-lens equation used by Newton, the object and image distances are measured from the focal points. Show that if x = s f and x = s f, the thin-lens equation can be...
A thin converging lens of focal length 10 cm is used to obtain an image that is twice as large as a small object. Find the object and image distances if (a) The image is to be erect and (b) The image...
Mickey Limited is a manufacturing business that uses a standard costing system. The companys flexed budget for April 20X9 is: Sales 173,340 Costs Direct materials (22,500) Direct labour (37,684)...
Rouge Company's $250,000 net income for the quarter ended September 30 included the following after-tax items: A $20,000 cumulative effect loss resulting from a change in inventory valuation method...
What is the relative price of root beer in terms of DVDs and what is the opportunity cost of a bottle of root beer? Marc has a budget of $20 a month to spend on root beer and DVDs. The price of root...
Which tool or technique for collecting requirements is often the most expensive and time consuming? a. interviews b. focus groups c. surveys d. observation LO.1
D. J. Harris checkbook lists the following: The January bank statement shows Requirement Prepare Harris bank reconciliation at January31. Date Check No. Item Check Deposit Balance $ 530 515 630 585...
Airportkleaners manufactures sinks for airports. It uses a job costing system with two direct cost categories, direct materials and direct labour, and one indirect cost pool, manufacturing overhead....
Banner Company produces three products: A, B, and C. The selling price, variable costs, and contribution margin for one unit of each product follow: Due to a strike in the plant of one of its...
Starting with Eq. (6.33) derive Eq. (6.34) when both the object and image are in air. s-ein e | 1 1 @ a12 1||a21 a22]-do/no o lu/'p (6.33) olaz1 az2do + (j1 12dojdj] (6.34) + yolaz2 + a12d)
A positive meniscus lens with an index of refraction of 2.4 is immersed in a medium of index 1.9. The lens has an axial thickness of 9.6 mm and radii of curvature of 50.0 mm and 100 mm. Compute the...
Calculate the values of $K_{p}$ at $25^{\circ} \mathrm{C}$ and $800^{\circ} \mathrm{C}$ for the water-gas reaction \[ \mathrm{CO}(\mathrm{g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) ightarrow...
Imagine trying to manage and accommodate the needs of more than 185,000 people at once. Imagine a variety of voices, languages, cultures, ethnic backgrounds, families, lifestyles, ages, and...
Question 1 Case Study Cross-Boundary Teaming for Innovation: Integrating Research on Teams and Knowledge in Organizations In a growing number of cases, teams span organisational boundaries, not just...
Article Assignment Select a business article from a professional news source's business section or professional journal. The article selected is not to be opinion driven. Provide a personal opinion...
Research can be conducted for a variety of reasons including searching for effective change strategies that allow followers to perceive of someone as a leader rather than a manager or studying a...
The revenue recognition principle and the expense recognition principle require that the company recognize related revenue and expense transactions in the same accounting period. Discuss why this...
A wood beam in a historic theater is reinforced with two angle sections at the outside lower corners (see figure). If the allowable stress in the wood is 12 MPa and that in the steel is 140 MPa, what...
A regular deposit of $100 is made at the beginning of each year for 20 years. Simple interest is calculated at i% per year for the 20 years. At the end of the 20-year period, the total interest in...
Lithium hydride, LiH, has been proposed as a possible nuclear fuel. The nuclei to be used and the reaction involved are as follows: the listed masses being those of the neutral atoms. Calculate the...
Neutrons produced by fission reactions must be slowed by collisions with moderator nuclei before they are effective in causing further fissions. Suppose an 800-keV neutron loses 40 percent of its...
The following fusion reaction takes place in the Sun and furnishes much of its energy: 42 He +2+e +energy 4H
ACC 2 0 2 Milestone One: Operational Costs Data Appendix You plan to open a small business for manufacturing pet collars, leashes, and harnesses. You have found a workshop space you can use for...
Explain the following: Understand the PPE acquisition (or investing) cycle and related significant transactions and source documents Understand the relevant assertions/objectives about PPE balances...
Problem 3 Progress Company acquired 6 0 % of Stall Corporation on 1 2 0 2 0 . Fair values of Stall's assets and liabilities approximated book values on that date. Progress uses the initial value...

Show that Eq. (6.36), relating the object and image distances measured from the vertices of a lens,

Question:

—а21 + аг2do di a11 – aj2do (6.36) (5.17) Si So ||

Step by Step Answer:

Equation 636 is Where the matrix A is given ...View the full answer

Optics

Students also viewed these Sciences questions