Solve Study Textbooks Guides

Use app

Login

>>Class 12
>>Physics
>>Ray Optics and Optical Instruments
>>Refraction Through Glass Slab
>> $The difference in the number of waveleng$

Question

The difference in the number of wavelengths, when yellow light propagates through air and vacuum columns of the same thickness is one. The thickness of the air column is :
(Refractive index of air $μ_{a} =$ 1.0003 ; Wavelength of yellow light in vacuum $= 6000 A^{\circ}$ )

A

$1.8 m m$

B

$2 m m$

C

$2 c m$

D

$2.2 c m$

Medium

Open in App

Updated on : 2022-09-05

Solution

Verified by Toppr

Correct option is B)

No of wavelengths $= \frac{t h i c k n e s s}{w a v e l e n g t h}$
Let $x$ be the thickness of the air column

so $\frac{x}{λ _{a i r}} - \frac{x}{λ _{v a c u u m}} = 1$

$\frac{x}{λ} (1.0003 - 1) = 1$

$x = \frac{6 0 0 0 \times 1 0 ^{- 10}}{0 . 0 0 0 3} m$

$= 2 m m$

Solve any question of Ray Optics and Optical Instrument with:-

Patterns of problems

Was this answer helpful?

0

0

Similar questions

When a thin transparent plate of thickness $t$ and refractive index $μ$ is placed in the path of one of the two interfering waves of light, then the path difference changes by

A light ray passes from air to denser medium of certain thickness and emerges on the other side. If the emergent ray is parallel to the incident ray, the distance traveled by the ray of light in the denser medium is 6 cm, and the angle of incidence and refraction are $6 0^{0}$ and $3 0^{0}$ respectively, find the lateral displacement of the light ray.

A ray from air enters water, then through a thick layer of glass placed below water. After passing through glass, it again comes out in air medium. Then final emergent ray will

On decreasing the wavelength of light, lateral displacement of the emergent ray ................

A narrow beam of light is incident at $5 3^{\circ}$ angle made with normal on a glass plate of refractive index $1.6$ . If the thickness of the plate is $20 m m$ . Calculate the shift of the beam.

More From Chapter

Ray Optics and Optical Instruments

View chapter >

Revise with Concepts

Relation for Lateral Displacement in Refraction Through a Glass Slab

ExampleDefinitionsFormulaes

Lateral Displacement and the Factors Affecting It

ExampleDefinitionsFormulaes

Learn with Videos

Lateral Shift due to Glass Slab

Shortcuts & Tips

Problem solving tips

Common Misconceptions

Memorization tricks

Important Diagrams

Practice more questions

Medium Questions