Question:
A glass slab of thickness 4 cm contains same number of waves as 5 cm thickness of water, when both are traversed by the same monochromatic light. If the refractive index of water is 4/3, what is the refractive index of glass:
A glass slab of thickness 4 cm contains same number of waves as 5 cm thickness of water, when both are traversed by the same monochromatic light. If the refractive index of water is 4/3, what is the refractive index of glass:
Updated On: Apr 26, 2024
- 44684
- 44685
- 16-May
- 1.5
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Suppose $ x $ is the number of waves contained in both. The wavelength of light in glass $ =4\text{/}x $ The wavelength of light in water $ =5\text{/}x $ We know that refractive index is inversely proportional to wavelength of light $ \mu \propto \frac{1}{\lambda } $ hence, $ {{\mu }_{g}}{{\lambda }_{g}}={{\mu }_{\omega }}{{\lambda }_{\omega }} $ $ {{\mu }_{g}}\frac{4}{x}=\frac{4}{3}\cdot \frac{5}{x}\,\,\,\,\Rightarrow \,\,\,{{\mu }_{g}}=\frac{5}{3} $
Was this answer helpful?
0
0
Top Questions on huygens principle
- Huygen's principle does not use
- JIPMER MBBS - 2019
- Physics
- huygens principle
- Spherical wave fronts, emanating from a point source, strike a plane reflecting surface. What will happen to these wave fronts, immediately after reflection ?
- JKCET - 2012
- Physics
- huygens principle
- Sound waves in air cannot be polarized because
- JKCET - 2007
- Physics
- huygens principle
- A wave has velocity $v$ in medium $P$ and velocity $2v$ in medium $Q$. If the wave is incident in medium $P$ at an angle of $30^{\circ}$, then the angle of refraction will be
- BITSAT - 2007
- Physics
- huygens principle
- The wave theory of light was given by
- JKCET - 2004
- Physics
- huygens principle
View More Questions
Questions Asked in VITEEE exam
- Two identical blocks A and B, each of mass 'm' resting on a smooth floor are connected by a light spring of natural length L and spring constant K, with the spring at its natural length. A third identical block 'C' (mass m) moving with a speed v along the line joining A and B collides with A. the maximum compression in the spring is
- VITEEE - 2023
- work, energy and power
- Assertion :
The binding energy of the nucleus increases with the increase in atomic number.
Reason :
Heavier elements have a greater number of non-radioactive isotopes than radioactive isotopes. - The half-life of radioactive radon is 3.8 days. The time at the end of which \(\frac{1}{20}th\) of the Radon sample will remain undecayed is (given log10e=0.4343)
- Which element has more electron gain enthalpy among chalcogen group?
- VITEEE - 2022
- sulphur
- Coin is tossed till heads is obtained what is expectation of no. of coin tosses
- VITEEE - 2022
- Random Variables
View More Questions
Concepts Used:
Huygen's Principle
The principle that states, that each point of the wavefront is the source of the secondary wavelets, it spreads out in all directions with the speed of a wave is the Huygens Principle. According to Huygens’ principle, as the wavefronts will be in the forward direction, all the points on the wavefront will become a secondary source. All the secondary sources emit wavelets and tangents and are drawn to all the wavelets which is the new position of the waveform.
Over and above that Huygen’s Principle, is known as the Huygens–Fresnel Principle. These are the following features of wave propagation:
- Every secondary source forms its own wavelets which are akin to the primary source.
- Randomly, at any point, the tangents in the forward direction form a new wavefront.
- The total of all the spherical wavelets is the wavefront.
Advantages and Disadvantages of the Huygens Principle:
Advantages:
- The reflection and refraction of light are also proved with the help of Huygens' concept.
- The concepts like diffraction of light, as well as interference of light, were also proved by Huygens'.
Disadvantage:
- Huygens's principle has not discussed or proved the concepts like emission of light, absorption of light, and the polarization of light.
- Huygens' principle fails the explanation of the photoelectric effect.
- A serious drawback is that the theory advances an all-pervading medium required to propagate light called luminiferous ether. This was proved to be false in the twentieth (20th) century.