9.32 Figure 9.34 shows an equiconvex lens (of refractive index 1.50) in contact with a liquid layer on top of a plane mirror. A small needle with its tip on the principal axis is moved along the axis until its inverted image is found at the position of the needle. The distance of the needle from the lens is measured to be 45.0 cm. The liquid is removed and the experiment is repeated. The new distance is measured to be 30.0 cm. What is the refractive index of the liquid?

88 Views|Posted 8 months ago

Asked by Shiksha User

1 Answer

Sort by:

Answered by

Payal Gupta | Contributor-Level 10

8 months ago

9.32 Focal length of the convex lens, $f_{1}$ = 30 cm

The liquid acts as a mirror, focal length of the liquid = $f_{2}$

Focal length of the system (convex lens + liquid), $f$ = 45 cm

For a pair of optical systems placed in contact, the equivalent focal length is given as

$\frac{1}{f}$ = $\frac{1}{f_{1}}$ + $\frac{1}{f_{2}}$ or $\frac{1}{f_{2}} = \frac{1}{f} - \frac{1}{f_{1}}$ = $\frac{1}{45}$ - $\frac{1}{30}$

$f_{2} =$ - 90 cm

Let the refractive index

Upvote

Similar Questions for you

What is a total refractive prism?

Jaya Sharma

A total refractive prism is also known as a total internal reflection prism. It is an optical prism that is designed for reflecting 100% of the incident light. This happens since this prism uses the principle of total internal reflection. These prisms are oriented and shaped in a specific way so tha

What is total deviation in prims?

Jaya Sharma

Total deviation in a prism is the total angle by which the light ray gets bent as it passes through the prism. It is an angle between incident ray and emergent ray of the prism. When a light enters the prism, it will bend towards the normal. After that, it will travel through the prism and bend away

Jaya Sharma

There are different types of glasses that are used in optical instruments, including the following:

Crown glass (K): This glass is used in eyeglasses, microscopes and cameras. It is used in prisms and windows in optical systems. Crown glass has a low refractive index, low dispersion and excellent tra

Jaya Sharma

Optical instruments can have some of the following defects that may impact their performance, which have arisen due to design limitations, manufacturing and physical properties of light:

Chromatic Aberration: This defect occurs because of the different wavelengths of light that refract at slightly di

Jaya Sharma

Yes, optical instruments are used in modern medicine for many purposes including surgery, monitoring, research and diagnosis. Let us take a look at each one by one: