Question

A common technique in analysis of scientific data is normalization. The purpose of normalizing data is to eliminate irrelevant constants that can obscure the salient features of the data. The goal of this experiment is to test the hypothesis that the flux of light decreases as the square of the distance from the source. In this case, the absolute value of the voltage measured by the photometer is irrelevant; only the relative value conveys useful information. Suppose that in Part 2.2.2 of the experiment, students obtain a signal value of 169 mV at a distance of 3.8 cm and a value of 84 mV at a distance of 6.1 cm. Normalize the students' data to the value obtained at 3.8 cm. (Divide the signal value by 169.) Then calculate the theoretically expected (normalized) value at 6.1 cm.

Answer 1

0.497

0.38806

Step-by-step explanation:

According to the question normalizing data is done by

`x=(84)/(169)\\\Rightarrow x=0.497`

The normalized value at 3.8 cm is 0.497

We have the relation

`V_1r_1^2=V_2r_2^2\\\Rightarrow V_2=(V_1r_1^2)/(r_2^2)\\\Rightarrow V_2=(1* 3.8^2)/(6.1^2)\\\Rightarrow V_2=0.38806`

Hence, the theoretically expected normalized value at 6.1 cm is 0.38806