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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:

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

Option: 1

2.00


Option: 2

1.70


Option: 3

1.85


Option: 4

2.20


Answers (1)

best_answer

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:

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

Substituting the values into the formula:

                    n =\frac{67.5 cm}{22.5 cm} \cdot \frac{35.0 cm}{52.5 cm}

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.

Posted by

Ritika Kankaria

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