Illumination on the screen for each case.
To sketch: The graph of a obtained data.
To find: The shape of the graph. Also, the relationship between the illuminance and distance.
Answer to Problem 74A
Illumination on the screen for each case is shown in Table 1.
The graph of the obtained data is shown in Figure 1.
The shape of the graph is hyperbola.
The relationship between illuminance and distance in the graph is inverse square.
Explanation of Solution
Given:
The distance of
Formula used:
The expression for the point source illuminance is,
Here,
Calculation:
The luminous flux of the light source is,
The point source illuminance at
Similarly, calculate the point source illuminance for every meter of increasing distance up to
Table 1
Distance of light source from screen | Point of illuminance |
1 | 111 |
2 | 28 |
3 | 12 |
4 | 7 |
5 | 4 |
6 | 3 |
7 | 2 |
Sketch the graph as shown in Figure below.
Figure 1
The shape of the graph is hyperbola.
The luminous flux
The illuminance of the point source (lamp) is inversely proportional to the square of the distance
The illuminance decreases with the increase in distance of the light source from screen.Hence, the relationship between illuminance and distance in the graph is Inverse Square.
Chapter 16 Solutions
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