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  • An experimenter wants to determine the refractive index (n) of a glass slab using a travelling microscope. The experimental setup is as follows: <table border="1" cellpadding="1" cellspacing

An experimenter wants to determine the refractive index (n) of a glass slab using a travelling microscope. The experimental setup is as follows:

Medium Refractive Index (n)

Air

Glass Slab

1.00

?

The following measurements are recorded:

Distance between the object pin and the objective lens (u) = 20.0 cm
Distance between the image pin and the objective lens (v) = 60.0 cm
Distance between the object pin and the glass slab (x) = 30.0 cm
Distance between the image pin and the glass slab (y) = 40.0 cm

Using the given data and the formula:

n =\frac{v}{u}\cdot \frac{x}{y}, calculate the refractive index (n) of the glass slab.

Option: 1

1.60


Option: 2

1.70


Option: 3

2.00


Option: 4

2.25


Answers (1)

best_answer

Given values:

u = 20.0 cm
v = 60.0 cm
x = 30.0 cm
y = 40.0 cm

The formula for calculating the refractive index of the glass slab is:

                    n =\frac{v}{u}\cdot \frac{x}{y}

Substituting the values into the formula:

                n = \frac{60.0 cm}{20.0 cm} \cdot \frac{30.0 cm}{40.0 cm}

Calculating each part of the equation:

                   n = 3.0 . 0.75

                    n = 2.25

Rounded to three significant figures, the refractive index of the glass slab is approximately n = 2.25.

Therefore, the refractive index of the glass slab is n = 2.25.

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