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  • A student aims to determine the refractive index (n) of a glass slab using a travelling microscope. The experimental setup is illustrated below: <table border="1" cellpadding="1" cellspacing

A student aims 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 performs the experiment and records the following measurements:

Distance between the object pin and the objective lens (u) = 15.0 cm
Distance between the image pin and the objective lens (v) = 75.0 cm
Distance between the object pin and the glass slab (x) = 25.0 cm
Distance between the image pin and the glass slab (y) = 45.0 cm

By using 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

2.78


Option: 4

2.20


Answers (1)

best_answer

Given values:

u = 15.0 cm
v = 75.0 cm
x = 25.0 cm
y = 45.0 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{75.0 cm}{15.0 cm} \cdot \frac{25.0 cm}{45.0 cm}

Calculating each part of the equation:

                    n = 5.0 . 0.5556

                    n = 2.7778

Rounded to three significant figures, the refractive index of the glass slab is approximately n = 2.78.

Therefore, the refractive index of the glass slab is n = 2.78.

Posted by

Gautam harsolia

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