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#+TITLE: Plotting Experimental Data

#+AUTHOR: FOSSEE

#+DATE: 2010-09-14 Tue

#+EMAIL:     info@fossee.in

#+DESCRIPTION: 

#+KEYWORDS: 

#+LANGUAGE:  en

#+OPTIONS:   H:3 num:nil toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t

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* Outline 

   - Defining sequence of numbers

   - Squaring sequence of numbers

   - Plotting Data Points

   - Indicating Error through Errorbars

* Simple Pendulum Data

#+ORGTBL: L vs T^2 orgtbl-to-latex

  | L   | T    |

  | 0.1 | 0.69 |

  | 0.2 | 0.90 |

  | 0.3 | 1.19 |

  | 0.4 | 1.30 |

  | 0.5 | 1.47 |

  | 0.6 | 1.58 |

  | 0.7 | 1.77 |

  | 0.8 | 1.83 |

  | 0.9 | 1.94 |

* Initializing L & T

  : L = [0.1, 0.2, 0.3, 0.4, 0.5,

  :      0.6, 0.7, 0.8, 0.9]

  : t = [0.69, 0.90, 1.19,

  :      1.30, 1.47, 1.58,

  :      1.77, 1.83, 1.94]

* Question 1

  - Plot the given experimental data with large dots.

  The data is on your screen.     

* Question 1 Data

#+ORGTBL: L vs T^2 orgtbl-to-latex

   |    S |     n |

   | 0.19 | 10.74 |

   | 0.38 | 14.01 |

   | 0.57 | 18.52 |

   | 0.77 | 20.23 |

   | 0.96 | 22.88 |

   | 1.15 | 24.59 |

   | 1.34 | 27.55 |

   | 1.54 | 28.48 |

   | 1.73 | 30.20 |

* Solution 1

  : S=[0.19,0.38,0.57,0.77,0.96,

  :   1.15,1.34,1.54,1.73]

  : n=[10.74,14.01,18.52,20.23,

  :    22.88,24.59,27.55,28.48,30.20]

  : plot(S,n,'o')

* Question 2

  - Plot the given experimental data with small dots.

  The data is on your screen.     

* Question 2 Data

#+ORGTBL: L vs T^2 orgtbl-to-latex

   |    P |    D |

   | 1.48 | 0.68 |

   | 2.96 | 0.89 |

   | 4.44 | 1.18 |

   | 5.92 | 1.29 |

   | 7.40 | 1.46 |

   | 8.88 | 1.57 |

   | 10.3 | 1.76 |

   | 11.8 | 1.82 |

   | 13.3 | 1.93 |

* Solution 2

   : P=[1.48,2.96,4.44,5.92,7.40,

   :   8.88,10.3,11.8,13.3]

   : D=[0.68,0.89,1.18,1.29,1.46,

   :   1.57,1.76,1.82,1.93]

   : plot(P,D,'.')

* Adding Error 

#+ORGTBL: L vs T^2 orgtbl-to-latex

  |   L |    T | \delta L | \delta T |

  | 0.1 | 0.69 |     0.08 |     0.04 |

  | 0.2 | 0.90 |     0.09 |     0.08 |

  | 0.3 | 1.19 |     0.07 |     0.03 |

  | 0.4 | 1.30 |     0.05 |     0.05 |

  | 0.5 | 1.47 |     0.06 |     0.03 |

  | 0.6 | 1.58 |     0.00 |     0.03 |

  | 0.7 | 1.77 |     0.06 |     0.04 |

  | 0.8 | 1.83 |     0.06 |     0.07 |

  | 0.9 | 1.94 |     0.01 |     0.08 |

* Plotting Error bar 

  : errorbar(L,tsquare,xerr=delta_L, yerr=delta_T,

  :         fmt='b.')

* Question 1

  - Plot the given experimental data with large green dots.Also include

  the error in your plot. 

* Question 1 Data

  #+ORGTBL: L vs T^2 orgtbl-to-latex

  |    S |     n | \delta S | \delta n |

  | 0.19 | 10.74 |    0.006 |     0.61 |

  | 0.38 | 14.01 |    0.006 |     0.69 |

  | 0.57 | 18.52 |    0.005 |     0.53 |

  | 0.77 | 20.23 |    0.003 |     0.38 |

  | 0.96 | 22.88 |    0.004 |     0.46 |

  | 1.15 | 24.59 |    0.007 |     0.37 |

  | 1.34 | 27.55 |    0.004 |     0.46 |

  | 1.54 | 28.48 |    0.004 |     0.46 |

  | 1.73 | 30.20 |    0.007 |     0.37 |

* Solution 1

  : S=[0.19,0.38,0.57,0.77,0.96,

  :   1.15,1.34,1.54,1.73]

  : n=[10.74,14.01,18.52,20.23,

  :   22.88,24.59,27.55,28.48,30.20]

  : delta_S=[0.006,0.006,0.005,0.003,

  :         0.004,0.007,0.004,0.004,0.007]

  : delta_n=[0.61,0.69,0.53,0.38,0.46,

  :         0.37,0.46,0.46,0.37]

  : errorbar(S,n,xerr=delta_S, yerr=delta_n, 

  :         fmt='go')

* Summary 

 : L = [0.1, 0.2, 0.3, 0.4, 0.5,

 :      0.6, 0.7, 0.8, 0.9]  

 : plot(x,y,'o')

 : plot(x,y,'.')

* Thank you!

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  This spoken tutorial has been produced by the                                                                                                              

  \textcolor{blue}{FOSSEE} team, which is funded by the                                                                                                      

  \end{center}                                                                                                                                               

  \begin{center}                                                                                                                                             

    \textcolor{blue}{National Mission on Education through \\                                                                                                

      Information \& Communication Technology \\                                                                                                             

      MHRD, Govt. of India}.                                                                                                                                 

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