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Physics Paper 1, May/June. 2007  
Questions: 1 2 3 4 5 6 Main
General Comments
Weakness/Remedies
Strength

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 











































































Question 5

Use the above diagram as a guide to carry out the following experiment.

(i)Trace the outline ABCD of the rectangular glass prism on the drawing paper provided.

(ii)Remove the prism. Select a point N on AB such that AN is about one quarter of AB.

(iii)Draw the normal LNM. Also draw a line RN to make an angle θ = 75° with AB at N

(iv)Fix two pins at P1 and P2 on line RN . Replace the prism on its outline

(v)Fix two other pins at P3 and P4 such that they appear to be in a straight line with the images of the pins at P1 and P2 when viewed through the prism from side DC.

(vi)Remove the prism and the pins at P3and P4. Draw a line to join P3 and P4

(vii)Produce line P4P 3 to meet line DC at O. Draw a line to join NO.

(viii)Measure and record the values of MO and NO.

 (ix)        Evaluate Φ=  MO and cos Φ.

                                  NO

(x)Repeat the procedure for four other values of θ =650, 55 0,450 and 350 respectively. In each case evaluate Φ and cos Φ. Tabulate your readings

(xi)Plot a graph of cos Φ on the vertical axis against θ on the
horizontal axis.

(xii)Determine the slope of the graph.

(xiii)State two precautions taken to ensure accurate results.
[Attach your traces to your answer booklet]

(b)(i)State Snell’s law of refraction.

(ii)Calculate the critical angle for the glass prism used in the experiment above if its refractive index is 1.5                                                                                                 [2 marks]

_____________________________________________________________________________________________________
Observation

The candidates were required to:

(i)complete five traces of the ray paths;

(ii)measure five values of NO correctly and record to at least 1 decimal place in cm and in trend.
Trend: NO decreases as Φ increases;

(iii)measure five values of MO and record to at least 1 decimal place in cm and in trend.
Trend: MO decreases as Φ increases;
(iv)evaluate five values of Φ correctly and record to at least 2 decimal place in cm;
(v)read and record five values of cos 0 correctly to at least' 3 decimal place;
(vi)record data on a composite table showing NO, MO, Φ and cos Φ.
(vii)correctly distinguish the graph axes, choose reasonable scales, plot five points and draw a line that best fits into the points;
(viii)draw a large right angled triangle on the graph line, read Δ cos θ and
Δcos Φ/Δθ

(ix)obtain a value for slope = the refractive index of glass;
(x)state any two of the following precautions in the correct form of speech;
-I ensured pins are vertical;
-I ensured neat traces/sharp pencil (as shown on traces);
-I ensured reasonable spacing of pins (as shown on traces, spaced about 4 cm apart);
-I avoided parallax error in reading the protractor or metre rule.
(b)(i)Snell’s law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant for a give pair of media.
                  OR

     sin i = a constant for a given pair of media.
      sin r

where i = angle of incidence
          r = angle of refraction

(ii)       1/ sin c = reflection index

            1/ sinc = 1.5

           sin c = 1/ 1.5 = 0.6667

           c = sin-1 0.667

          c = 41.80

This ray tracing experiment was also very popular among the candidates. The performance was however poor.
Most candidates could not present good, neat and complete traces. Most candidates were able to measure the value of Φ and θ correctly.

However, some candidates could not correctly read cos Φ from tables. Also, the graph posed a lot of challenges to most candidates due to the value of cos Φ involved. The candidates, however, were able to determine the slope of their graph.

The precautions were well stated

In part (b) most candidates were able to state Snell’s law. A few candidates could only state sin i = n without

                                                                                                                                                                       sin r

defining i as the angle of incidence, r as angle' of
                                                                                                                                                                           
refraction and n as refractive index or a constant.
The numerical in part b (ii) was poorly handled. Some candidates could only manage to recall 1/ sin c = n but could not proceed further to determine c.


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