Question

In an experiment brahmanandam took 9cm thickness of glass slab.He calculated the vertical shift is 1cm what is the refractive index of glass slab

Answer 1

Answer:

Explanation:as the thickness is 9 cm and vertical shift is 1 cm the formula is R.I=thickness of slab/thickness of slab - vertical shift.so the answer is 9/8

Answer 2

Given:

Thickness of glass slab $t=9cm$

Vertical shift $s=1cm$

To find:

Refractive index of glass = ?

Formula:

$s=t(1-\frac{1}{\eta} )$

Solution:

Step 1 of 1

The refractive index is the measure of diffraction property of the medium.

When the light is incident on the glass slab, it gets shifted to 1 cm vertically.

So, the refractive index can be calculated using the above formula.

$1=9(1-\frac{1}{\eta})\\\frac{1}{9}=\frac{\eta-1}{\eta} \\0.11\eta=\eta-1\\0.11\eta-\eta+1=0\\-0.88\eta+1=0\\1=0.88\eta\\\eta=\frac{1}{0.88}\\\eta=1.14$

Thus, the refractive index of glass slab is 1.14.

Final Answer:

Refractive index of glass slab is 1.14.