(a) State two factors which affect the angle of deviation of a ray of light through a triangular glass prism. (b) Seven virtual images of an object are form...
(a) State two factors which affect the angle of deviation of a ray of light through a triangular glass prism.
(b) Seven virtual images of an object are formed when two plane mirrors are inclined at an angle 0 to each other. Calculate the value of 0.
(c) By means of a ripple tank, a student was able to generate series of transverse waves by varying the frequency of the dipper and all the waves so generated covered a distance of 0.80 m in 0.2s.
(i) Determine the speed, v, of the waves.
Copy and complete the table given in your answer booklet.
(iii) Plot a graph with f on the vertical axis and \(\lambda ^{-1}\) on the horizontal axis. (iv) What does the slope of the graph represent?
(a) Two factors which affect the angle of deviation of a ray through a triangular glass prism:
The angle of incidence of the ray on the first refracting face.
The refracting (apex) angle of the prism together with the refractive index of the glass (which itself depends on the colour/wavelength of the light).
(b) Angle between the two plane mirrors.
The number of images formed by two plane mirrors inclined at an angle \(\theta\) is
(ii) Completed table. Using \(\lambda=\dfrac{v}{f}=\dfrac{4.0}{f}\) and \(\lambda^{-1}=\dfrac{1}{\lambda}\):
\(f\) /Hz
\(\lambda\) /m
\(\lambda^{-1}\) /m\(^{-1}\)
2.0
2.00
0.50
4.0
1.00
1.00
6.0
0.67
1.50
8.0
0.50
2.00
10.0
0.40
2.50
(iii) Graph of \(f\) (vertical axis) against \(\lambda^{-1}\) (horizontal axis).
Straight line through the origin; gradient = 4.0 m s⁻¹, the speed of the waves.
The points \((0.50,2.0),(1.00,4.0),(1.50,6.0),(2.00,8.0),(2.50,10.0)\) lie on a straight line passing through the origin, since \(f=v\,(\lambda^{-1})\).
(iv) Meaning of the slope.
Reading two points on the line of best fit, e.g. \((2.50,10.0)\) and \((0.50,2.0)\):
(ii) Completed table. Using \(\lambda=\dfrac{v}{f}=\dfrac{4.0}{f}\) and \(\lambda^{-1}=\dfrac{1}{\lambda}\):
\(f\) /Hz
\(\lambda\) /m
\(\lambda^{-1}\) /m\(^{-1}\)
2.0
2.00
0.50
4.0
1.00
1.00
6.0
0.67
1.50
8.0
0.50
2.00
10.0
0.40
2.50
(iii) Graph of \(f\) (vertical axis) against \(\lambda^{-1}\) (horizontal axis).
Straight line through the origin; gradient = 4.0 m s⁻¹, the speed of the waves.
The points \((0.50,2.0),(1.00,4.0),(1.50,6.0),(2.00,8.0),(2.50,10.0)\) lie on a straight line passing through the origin, since \(f=v\,(\lambda^{-1})\).
(iv) Meaning of the slope.
Reading two points on the line of best fit, e.g. \((2.50,10.0)\) and \((0.50,2.0)\):
