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You want to test the effect of light on the distribution of Artemia in your 35 cm long testing chamber. If you measure the light at one end to be 10 lumens and the light at the other end to be 200 lumens, and the gradient distribution along the testing chamber is linear, what would you predict the lumens to be 10 cm from the darkest end?

A. 145.7
B. 55.8
C. 36.3
D. 64.3
E. 182.4
F. 86.6

Answer :

To calculate the light intensity at a point in a testing chamber with a linear light gradient, we find the increase in lumens per centimeter and multiply by the distance from the darker end. In this case, 10 cm from the darker end with a gradient of 5.43 lumens per centimeter results in an intensity of 64.3 lumens.

The question asks to predict the light intensity, measured in lumens, at a certain point in a testing chamber that has a linear gradient of light. Given that one end of the chamber has a light intensity of 10 lumens and the other end has 200 lumens over a 35 cm length, we can calculate the lumens at 10 cm from the darker end using a linear equation.

The increase in light intensity per centimeter can be found by dividing the difference in lumens by the length of the chamber: (200 lumens - 10 lumens) / 35 cm = 190 lumens / 35 cm = 5.43 lumens per centimeter.

Therefore, 10 cm from the darker end, the lumens would be: 10 lumens + (10 cm * 5.43 lumens/cm) = 10 lumens + 54.3 lumens = 64.3 lumens. Hence, the correct answer is d. 64.3 lumens.

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