Question: The lens equation says that if an object is placed at a distance p from a lens, and an image is formed at a distance

The lens equation says that if an object is placed at
a distance p from a lens, and an image is formed at a distance q from the lens, then the focal length f satisfies the equation 1/ f = 1/p +1/q. Assume that p = 2.3 ± 0.2 cm and q = 3.1 ± 0.2 cm.
a. Estimate f, and find the uncertainty in the estimate.
b. Which would provide a greater reduction in the uncertainty in f: reducing the uncertainty in p to 0.1 cm or reducing the uncertainty in q to 0.1 cm?

Step by Step Solution

★★★★★

3.46 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a p 23 p 02 q 31 q 02 f pq p q 1320 f 1320 0075 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

944-M-S-P (8489).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

If an object is dropped, it will fall a distance of about 16 feet during the first second. In each second that follows, the object falls about 32 feet farther than in the previous second. a. Write a...

If an object is thrown upward at 64 feet per second from a height of 20 feet, its height S after t seconds is given by S(x) = 20 + 64t - 16t2 What is the average velocity in the (a) First 2 seconds...

If an object is moving at a constant speed s (in miles per hour), then s = dt-1, where d is the distance traveled (in miles) and t is the time (in hours). a. Simplify the right-hand side of the...

A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius '1' decreases. Assume that n0 clay is lost in the process....

Homework Help: 1, \fWhen an object is placed at a distance p from a convex lens having focal length 7 cms, 7 1. rate of change = then the image will be at a distance q from 9- 7 the lens while 49 2....

A convex lens has focal length f. If an object is placed at a distance beyond 2f from the lens on the principal axis, the image is located at a distance from the lens A) between the lens and f. B) of...

part 1 of 1 10 points 4. both the speed and the wavelength in- Consider the case in which light ray A is 7.5 Incident on mirror /, as shown in the figure. The reflected ray is incident on mirror $...

3. both the speed and the wavelength de- Question 1 crema Part I of 1 10 points 1. both the speed and the wavelength in- Consider the case in which light ray A is incident on mirror /, as shown in...

A concave, spherical mirror and a thin, converging lens are both measured in air (51:1.0) to have the same focal length, f. Both the mirror and the lens are then placed under water {n='l.33) and...

1) What is the correct about the image one sees in the plane mirror and the image that forms on the retina? A) both are real and upright B) both are virtual and inverted C) mirror image is virtual...

Which of the following would not make a suitable buffer pair? a. HCN/NaCN b. NaHCO3/Na2CO3 c. NH4CI/NH3 d. H3PO4/KH2PO4 e. HNO3/NaNO3

Consider a general linear model with n p design matrix Z, and let denote the vector of residuals. (In other words, the ith coordinate of where a. Show that W = DY, where D = I Z(Z'Z)1Z'. b. Show...

Capitalized contract costs need not be amortized if the amortization period would be Multiple choice question. more than six months. one year or less. five years or less. more than one year.

In what way is commitment to a policymaking rule beneficial when rational expectations prevail? How can a policymaker achieve credibility that a rule will be adhered to?

The following MINITAB output presents the results of a hypothesis test for a population mean Î¼. Some of the numbers are missing. Fill in the numbers for (a) through (c). One-Sample Z: X...

The article "Evaluation of Mobile Mapping Systems for Roadway Data Collection" (H. Karimi, A. Khattak, and J. Hummer, Journal of Computing in Civil Engineering, 2000:168-173) describes a system for...

Recently many companies have been experimenting with telecommuting, allowing employees to work at home on their computers. Among other things, telecommuting is supposed to reduce the number of sick...

An electric utility is considering a new power plant in northern Arizona. Power from the plant would be sold in the Phoenix area, where it is badly needed. Because the firm has received a permit, the...

The joint density of X and Y is f(x, y) = 4y/x , for 0

Mr. Gold is in the widget business. He currently sells 1.7 million widgets a year at $7 each. His variable cost to produce the widgets is $5 per unit, and he has $1,680,000 in fixed costs. His...