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- A student conducts an experiment to determine the refractive index (n) of a glass slab using a travelling microscope. The experimental setup is illustrated below: <table border="1" cellpaddi
A student conducts an experiment to determine the refractive index (n) of a glass slab using a travelling microscope. The experimental setup is illustrated below:
| Medium |
Refractive Index (n) |
|
Air Glass Slab |
1.00 ? |
The student records the following measurements during the experiment:
Distance between the object pin and the objective lens (u) = 22.5 cm
Distance between the image pin and the objective lens (v) = 67.5 cm
Distance between the object pin and the glass slab (x) = 35.0 cm
Distance between the image pin and the glass slab (y) = 52.5 cm
Using the given data and the formula:
, calculate the refractive index (n) of the glass slab.
2.00
1.70
1.85
2.20
Answers (1)
Given values:
u = 22.5 cm
v = 67.5 cm
x = 35.0 cm
y = 52.5 cm
The formula for calculating the refractive index of the glass slab is:
Substituting the values into the formula:
Calculating each part of the equation:
n = 3.0 . 0.6667
n = 2.00001
Rounded to three significant figures, the refractive index of the glass slab is approximately n = 2.00.
Therefore, the refractive index of the glass slab is n = 2.00.
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