Can you answer these physics questions with working out? 8. The brightness of a beam of light gets weaker with distance by theinverse square law. To verify this hypothesis, a light meter was placedat various distances, d, from a light bulb. Each time, the light intensityreading (1) from the light meter was recorded. The table below showsthe values of I and d.Distance, d (m)Light intensity, I (lumens) 240 110 62 401/d²a.b.0.2 0.3 0.4 0.5 0.6 0.726 20Complete the third row of the table.Plot a graph that will verify the inverse square law hypothesis.C. Calculate the gradient of the straight line graph.d. Hence write down the mathematical equation for the relationshipbetween I and d.e. Use your graph or your equation to estimate the brightness at adistance of 0.35 m from the bulb.bulbdlightmeter 4.The total distance, d, fallen by a mass should be proportional to thesquare of the time, t. To check this, some students recorded the distancefallen at half second intervals. The results are given below.Gb.Time, t (s)Distance fallen, d (m)t²0 0.5 1.0 1.50 1.2 4.9 112.0 2.519 30Explain why the data does not support the hypothesis that 'thedistance fallen is proportional to the time'.Plot a graph to verify the hypothesis that the distance fallen isproportional to the square of the time'.C. Calculate the gradient of the straight line graph.d. Hence write down the mathematical equation for the relationshipbetween d and t.7.1

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The brightness of a beam of light gets weaker with distance by the inverse square law. To verify this hypothesis, a light meter was placed at various distances, d, from a light bulb. Each time, the light intensity reading (1) from the light meter was recorded. The table below shows the values of I and d. Distance, d (m) Light intensity, I (lumens) 240 110 62 40 1/d² 0.2 0.3 0.4 0.5 0.6 0.7 26 20 Complete the third row of the table. Plot a graph that will verify the inverse square law hypothesis.

The brightness of a beam of light gets weaker with distance by the inverse square law. To verify this hypothesis, a light meter was placed at various distances, d, from a light bulb. Each time, the light intensity reading (1) from the light meter was recorded. The table below shows the values of I and d. Distance, d (m) Light intensity, I (lumens) 240 110 62 40 1/d² 0.2 0.3 0.4 0.5 0.6 0.7 26 20 Complete the third row of the table. Plot a graph that will verify the inverse square law hypothesis.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Can you answer these physics questions with working out?

8. The brightness of a beam of light gets weaker with distance by the
inverse square law. To verify this hypothesis, a light meter was placed
at various distances, d, from a light bulb. Each time, the light intensity
reading (1) from the light meter was recorded. The table below shows
the values of I and d.
Distance, d (m)
Light intensity, I (lumens) 240 110 62 40
1/d²
a.
b.
0.2 0.3 0.4 0.5 0.6 0.7
26 20
Complete the third row of the table.
Plot a graph that will verify the inverse square law hypothesis.
C. Calculate the gradient of the straight line graph.
d. Hence write down the mathematical equation for the relationship
between I and d.
e. Use your graph or your equation to estimate the brightness at a
distance of 0.35 m from the bulb.
bulb
d
light
meter

4.
The total distance, d, fallen by a mass should be proportional to the
square of the time, t. To check this, some students recorded the distance
fallen at half second intervals. The results are given below.
G
b.
Time, t (s)
Distance fallen, d (m)
t²
0 0.5 1.0 1.5
0 1.2 4.9 11
2.0 2.5
19 30
Explain why the data does not support the hypothesis that 'the
distance fallen is proportional to the time'.
Plot a graph to verify the hypothesis that the distance fallen is
proportional to the square of the time'.
C. Calculate the gradient of the straight line graph.
d. Hence write down the mathematical equation for the relationship
between d and t.
7.1

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