Refer to Exercise 7. Assume that p = 4.3 ± 0.1 cm and q

Problem 23E Chapter 3.4

Statistics for Engineers and Scientists | 4th Edition

2901 Step-by-step solutions solved by professors and subject experts
Get 24/7 help from StudySoup virtual teaching assistants

Statistics for Engineers and Scientists | 4th Edition

4 5 0 282 Reviews

Problem 23E

Refer to Exercise 7. Assume that p = 4.3 ± 0.1 cm and q =2.1 ± 0.2 cm. Estimate f, and find the relative uncertainty in the estimate.

Problem 7E

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:

Step 1 of 2:

Here the experiment is to estimate the focal length of a lens. The focal satisfies the equation

$\frac{1}{f}$ = $\frac{1}{p}$ + $\frac{1}{q}$

where p denotes the distance of the object placed from the lens and q denotes the distance at which image is formed.

Also it is given that p=4.3,q=2.1, ${\sigma{}}_{p}$ =0.1, ${\sigma{}}_{q}$ =0.2.

Using these we have to estimate f and relative uncertainty in the estimate.

Step 2 of 2

Chapter 3.4, Problem 23E is Solved

Textbook: Statistics for Engineers and Scientists

Edition: 4th

Author: William Navidi

ISBN: 9780073401331

The full step-by-step solution to problem: 23E from chapter: 3.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 23E from 3.4 chapter was answered, more than 252 students have viewed the full step-by-step answer. This full solution covers the following key subjects: estimate, Find, exercise, assume, refer. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “Refer to Exercise 7. Assume that p = 4.3 ± 0.1 cm and q =2.1 ± 0.2 cm. Estimate f, and find the relative uncertainty in the estimate. 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?” is broken down into a number of easy to follow steps, and 120 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4th. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.