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  • A student is performing an experiment to determine the refractive index of a glass slab using a travelling microscope. The student sets up the experiment as shown below: <table border="1" ce

A student is performing an experiment to determine the refractive index of a glass slab using a travelling microscope. The student sets up the experiment as shown below:

Medium Refractive Index (n)

Air

Glass Slab

1.00

?

The following measurements are taken:

Distance between the object pin and the objective lens (u) = 30.0 cm
Distance between the image pin and the objective lens (v) = 90.0 cm
Distance between the object pin and the glass slab (x) = 50.0 cm
Distance between the image pin and the glass slab (y) = 70.0 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

2.14


Option: 2

1.70


Option: 3

2.50


Option: 4

8.80


Answers (1)

best_answer

Given values:

u = 30.0 cm
v = 90.0 cm
x = 50.0 cm
y = 70.0 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{90.0 cm}{30.0 cm} \cdot \frac{50.0 cm}{70.0 cm}

Calculating each part of the equation:

                n = 3.0 . 0.7143

                n = 2.1429

Rounded to three significant figures, the refractive index of the glass slab is approximately n = 2.14.

Therefore, the refractive index of the glass slab is n \approx 2.14.

 

Posted by

Ritika Kankaria

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