Assume that X and Y are independent measurements with

Chapter 3, Problem 1E

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QUESTION:

Assume that X and Y are independent measurements with uncertainties \(\sigma_X=0.3 \) and \(\sigma_Y=0.2\). Find the uncertainties in the following quantities:

a. \(4X\)

b. \(X+2Y\)

c. \(2X-3Y\)

Equation Transcription:

Text Transcription:

sigma_X=0.3

sigma_Y=0.2

4X

X+2Y

2X-3Y

Questions & Answers

QUESTION:

Assume that X and Y are independent measurements with uncertainties \(\sigma_X=0.3 \) and \(\sigma_Y=0.2\). Find the uncertainties in the following quantities:

a. \(4X\)

b. \(X+2Y\)

c. \(2X-3Y\)

Equation Transcription:

Text Transcription:

sigma_X=0.3

sigma_Y=0.2

4X

X+2Y

2X-3Y

ANSWER:

Solution 1E

Step1 of 4:

We have an independent variable X with uncertainty .

Let Y be the independent variable with uncertainty.

Here our goal is:

a).We need to find uncertainty of 4X.

b).We need to find uncertainty of X + 2Y.

c).We need to find uncertainty of 2X - 3Y.


Step2 of 4:

a).

Here we have a constant c = 4

       

 

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