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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3.4 - Problem 7e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3.4 - Problem 7e

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# The lens equation says that if an object is placed at a

ISBN: 9780073401331 38

## Solution for problem 7E Chapter 3.4

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition

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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 $$p=2.3\pm0.2\mathrm{\ cm}$$ and $$q=3.1\pm0.2\mathrm{\ cm}$$.

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?

Equation Transcription:

Text Transcription:

p

q

f

p = 2.3 pm 0.2 cm

q = 3.1 pm 0.2 cm

Step-by-Step Solution:

Solution:

Step 1 of 3:

By lens equation the focal length of a lens satisfies the equation = . where p is the difference between the object and the lens and q is the difference between the lens and the image.

If  P= 2.3 cm and q= 3.1 0.2 cm we have to find :

1. The estimate of focal length f. And the uncertainty in the estimate.
2. Which would provides 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 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

This full solution covers the following key subjects: uncertainty, lens, equation, distance, reducing. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 7E from chapter: 3.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “?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 $$p=2.3\pm0.2\mathrm{\ cm}$$ and $$q=3.1\pm0.2\mathrm{\ cm}$$.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?Equation Transcription:Text Transcription: pq f p = 2.3 pm 0.2 cm q = 3.1 pm 0.2 cm” is broken down into a number of easy to follow steps, and 104 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 7E from 3.4 chapter was answered, more than 424 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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