Answer
Verified
91.5k+ views
Hint: The refractive index of a substance is a dimensionless number that describes how fast light passes through a substance. It is defined as the ratio of c is the speed of light in a vacuum and v is the phase speed of light in the medium.
Complete step by step solution:
Given that
refractive index for flint glass with respect to air $\mu _1 = 1.65$
refractive index for alcohol with respect to air $\mu _2 = 1.36$
now refractive index of glass with respect to alcohol $\mu _3$.
$\Rightarrow$ ${\mu _3 = }\dfrac{{{{\mu _1}}}}{{{\mu _2}}}$
$\Rightarrow$ ${{\mu _3 = }}\dfrac{{{\text{1}}{\text{.65}}}}{{1.36}}$
$\therefore {{ \mu _3 = 1}}{\text{.21}} $
Thus, the refractive index of dense flint glass with respect to alcohol $\mu _3$ is equal to 1.21.
Additional Information: Refractive index, also called index of refraction, is the measurement of the bending of a beam of light while passing from one medium to another. If i is the angle of incidence of the ray in a vacuum, and r is the angle of refraction, and refractive index is defined as the ratio of the sine of the angle of incidence of the sine of the angle of refraction.
$i.e.,{\text{ refractive index n = }}\dfrac{{\sin {\text{ i}}}}{{\sin {\text{ r}}}}$
The refractive index is equal to the speed of light c of a given wave in empty space divided by its velocity in the material
$ or,{\text{ n = }}\dfrac{c}{v}$
Note: The refractive index of a medium is the ratio of the speed of light in a vacuum to the speed of light in the medium, therefore it has no unit, and is unitless. The refractive index of a medium is (to some extent) dependent on the frequency of light, with the highest value being n with the highest frequencies.
Complete step by step solution:
Given that
refractive index for flint glass with respect to air $\mu _1 = 1.65$
refractive index for alcohol with respect to air $\mu _2 = 1.36$
now refractive index of glass with respect to alcohol $\mu _3$.
$\Rightarrow$ ${\mu _3 = }\dfrac{{{{\mu _1}}}}{{{\mu _2}}}$
$\Rightarrow$ ${{\mu _3 = }}\dfrac{{{\text{1}}{\text{.65}}}}{{1.36}}$
$\therefore {{ \mu _3 = 1}}{\text{.21}} $
Thus, the refractive index of dense flint glass with respect to alcohol $\mu _3$ is equal to 1.21.
Additional Information: Refractive index, also called index of refraction, is the measurement of the bending of a beam of light while passing from one medium to another. If i is the angle of incidence of the ray in a vacuum, and r is the angle of refraction, and refractive index is defined as the ratio of the sine of the angle of incidence of the sine of the angle of refraction.
$i.e.,{\text{ refractive index n = }}\dfrac{{\sin {\text{ i}}}}{{\sin {\text{ r}}}}$
The refractive index is equal to the speed of light c of a given wave in empty space divided by its velocity in the material
$ or,{\text{ n = }}\dfrac{c}{v}$
Note: The refractive index of a medium is the ratio of the speed of light in a vacuum to the speed of light in the medium, therefore it has no unit, and is unitless. The refractive index of a medium is (to some extent) dependent on the frequency of light, with the highest value being n with the highest frequencies.
Recently Updated Pages
Name the scale on which the destructive energy of an class 11 physics JEE_Main
Write an article on the need and importance of sports class 10 english JEE_Main
Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main
Choose the one which best expresses the meaning of class 9 english JEE_Main
What does a hydrometer consist of A A cylindrical stem class 9 physics JEE_Main
A motorcyclist of mass m is to negotiate a curve of class 9 physics JEE_Main
Other Pages
3 mole of gas X and 2 moles of gas Y enters from the class 11 physics JEE_Main
If the central portion of a convex lens is wrapped class 12 physics JEE_Main
If the frequency of Kalpha X rays emitted from the class 12 physics JEE_Main
A 60g bullet is fired through a stack of fiberboard class 11 physics JEE_Main
If the number of integral terms in the expansion of class 11 maths JEE_Main
Electric field due to uniformly charged sphere class 12 physics JEE_Main