Goruav
Goruav
Physics
Investigatory Project
                                                                     
                                      I                              CS
                                   YS
                      PH
Year :- 2023-2024
 Y :- Gourav Krishn
B               SameerBhardwaj
                      Chauhan
ROLL No. :-11
 Class :-      XII
                                        CERTIFICATE
                                               Gourav Krishn
 This is to certify that Master Sameer
                                               BhardwajChauhan,astudentofclassXII
                                                                                   
  has successfully completed the research on the below mentioned CS
   projectundertheguidanceof__________________(SubjectTeacher)
    during the year 2025-26
                              2023-24 in partial fulfilment of Physics Practical
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Examination conducted by AISSCE, New Delhi.
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ACKNOWLEDGEMENT
                                                                                 
project with success. Then I would like to thank my Physics                  CS
 Teacher___________________, whose valuable guidancehas
  been the ones that helped me patch this project and make it full
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   proof success his suggestions and his instructions has served as
    the major contributor towards the completion of the project.
                                PH
L ast but not the least I would like to thank my classmates who
 have helped me a lot.
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                                             INDEX
Sr No.                   Content Tile                                      Page no.
   1.                       Introduction                                          4
   2.                                AIM                                          5
   3.                          Apparatus                                          5
   4                             Diagram                                          6
                                                                                
   5.                             Theory
                                                                                CS    7
   6.                          Procedure                                          9
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INTRODUCTION
In optics, the refractive index or index of refraction n ofa materialis a d imensionless
 numberthat describes how lightpropagates throughthat medium. It is defined as
                      𝐶
              𝑛 =    
                      𝑉
W here cis the speed of lightin vacuumand vis the p hasevelocityof light in the medium.
 For example, the refractive index of water is 1.333; meaning that light travels 1.333 times
  faster in a vacuum than it does in water.
                                                                                   
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                                     AIM
 o find the refractive indexes of (a) water
T
(b) oil using a plane mirror, an equi-convex
 lens, and an adjustable object needle.
                          APPARATUS
                                                                                
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   ✔
    Convex Lens
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   ✔Plane Mirror
    ✔Water
     ✔Oil
      ✔Clamp Stand
       ✔An Optical Needle
        ✔Plumb Line
         ✔Knitting Needle
          ✔Half Meter Scale
           ✔Glass Slab
            ✔Spherometer
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DIAGRAMS
                                                                             
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                                        THEORY
1 .Iff1  andf2  be the focal length of the glassconvex
 lens and liquid lens and f be the focal length of their
  combination then:-
                                                                                                                         𝐹𝑓2 
                                       
                                       1
                                      𝐹
                                                 
                                                 1
                                              𝑓
                                             =          +
                                                              
                                                              1
                                                             𝑓2
                                                                                                 or f2=𝑓 −𝐹
                                                  1                                                                     1
                                                                                                                    
2 . Liquid lens formed a Plano-concave Lens withR1=R                                              CS
 andR2=∞then by using lens make’s formula
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                                             1                                                                 1          
                                                                                                                            1
                                                     = (𝑛 − 1)
                                                                 ⌊ 𝑅 −                                                          ⌋
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                                            𝑓2                                                                 1
                                                                                                                           𝑅2
                                                                                                             1            
                                                                                                                            1
                                      =(𝑛 − 1)
                                                   ⌊ 𝑅1 −                                                             ∞
                                                                                                                                      ⌋
                                                                                                       1
                                            = (n-1)⌊ 𝑅 − 0⌋
                                                                                                      𝑛−
                                                                                                         1
                                                                  
                                                                  1
                                                                 𝑓2 
                                                                           =
                                                                           
𝑅
                                                                    
                                                                   𝑅
                                                        n   = 𝑓                                        + 1
                                                                    2
7
                                                                                       
                                                                             CS
 ere,lis the average distance between the legs ofthe
H
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spherometer andhis the difference in the readingof the
 spherometer when placed first on the convex lens and
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then on planemirror.
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PROCEDURE
                                                                                 
    iron stand and then a convex lens on the plane mirror.
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   3 . Hold the needle in the clamp stand and adjust its
    position on the stand such that there is no parallax
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     focal length of the combination.                                           CS
    7. Record the observation.
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    8 . Repeat the steps 5, 6, 7 for other transparent liquid
     (oil).
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1 4. Obtain the impressions of the three legs of the                              CS
 spherometer on a paper and mark them and their
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  average distance.
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OBSERVATIONS
        ( 1)AB    =      cm
                            3
                                                                                      
         (2)BC
          (3)CA
                     =
                     =
                             3 cm
                            3 cm
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With water         1        31.4                                           CS
                                                                                 31.8   31.6                     f2=34.7
                     2        37.5                                           38.1   37.8
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With oil           1        9.4                                            9.6    9.5                      f3=10
                     2        10.4                                           10.6   10.5
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CALCULATIONS
Mean of h=
                                          (0.555+0.6)
                                                    2
                                                            
                                                                         = 0.5775cm
                                                                                                                                       
                                                                                    6ℎ                          2
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Measurement of refractive indices of water and oil
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1)With water between the convex lens and the plane mirror:
                                                                                     
                                                                                    𝑅                                            2.8861
                                                       µ1 = 1 +                𝑓2
                                                                                             = 1
                                                                                                  +                               34.7
                                                                                                                                               = 1. 0831
2) With oil between the convex lens and the plane Mirror
                                                                           
                                                                          𝑅                                               2.8861
                                             µ2 = 1 +                𝑓3
                                                                                  = 1
                                                                                       +                                     10
                                                                                                                                       = 1. 2886
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Results
                                                                                
                                   PRECAUTIONS
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SOURCES OF ERROR
                                                                                
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BIBLIOGRAPHY
                                                                                
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