Physics Paper 3 WASSCE (PC), 2022

Question 2

 

 

 

 

In the experiment, the external diameter, D, of a boiling tube is measured with a pair of vernier calipers. A loaded boiling tube with a centimeter scale fixed it is made to float vertically in water as shown in the diagram above.

The depth of immersion, y0, of the zero mark of the scale is measured and recorded.

A mass, m, is put in the boiling tube and the new depth of immersion, y, of the zero mark is measured and recorded. The experiment is repeated for four other increasing values of m.
In each case, y is measured and recorded.
Fig. 2(a) shows the value D, on the Vernier caliper,
Fig. 2(b)shows the values, y0and y1 and
Fig. 2(c) shows the masses, mi where i = 1,2,3,4 and 5.


Observation

 

(a)                OBSERVATIONS


(i)

Value of D correctly recorded to 2 d.p in cm.

 

 

 

 

(ii)

Value of A correctly evaluated to at least 2 d.p

 

(iii)

Value of yo correctly measured and recorded to at least 1 d.p and within tolerance of ± 0.1 cm

 

 

 

 

(iv)

Five values mi  correctly measured and recorded in grammes                       

 

 

TABLE OF RESULTS

External diameter D = 2.50 cm Depth of immersion = 9.4 cm          A= 0.25 x 3.14 x [2.50]2 = 4.91 cm2


mi/g

yi± 0.1 cm

hi= (yi– yo)

log mi

log hi

2

9.9

0.5

0.301

-0.301

5

10.5

1.1

0.699

0.041

7

10.9

1.5

0.845

0.176

10

11.4

2.0

1.000

0.301

12

11.8

2.4

1.079

0.380

GRAPH

  1. Both axes correctly distinguished                                                                              
  2. Reasonable scales                                                                                                      
  3. Five points correctlyplotted                                                                                       
  4. Line ofbestfit

 

SLOPE

    • Largeright-angledtriangle
    • ∆Log mcorrectlydetermined                                                                                      
    • ∆Log hcorrectlydetermined

    INTERCEPT, c

    Intercept, c, on the vertical axis

    Precaution

    1. Avoid/avoided parallax error on the scale/vernier caliper/metrerule.
    2. Avoid/avoided zero error on metrerule.
    3. Repeated readingsstated.