Advertisements
Advertisements
प्रश्न
Monochromatic light of wavelength 589 nm is incident from air on a water surface. If µ for water is 1.33, find the wavelength, frequency and speed of the refracted light.
उत्तर
Wavelength of light in air, λ = 589 nm
Therefore,
Frequency of light in air is given by
`f=c/lambda=(3xx10^8)/(589xx10^-9)=5.09xx10^14 Hz`
Since, frequency of light does not depend on the medium. Thus, the frequency of the refracted light in water will be equal to the frequency of the incident or reflected light in air.
Hence, the frequency of refracted light = `5.09xx10^14 Hz`
Now
Speed of light in water, `v=c/mu=(3xx10^8)/(1.33)=2.26xx10^8 `m/s
Wavelength of light in water,`lambda=v/f=(2.26xx10^8)/(5.09xx10^14)=444.007xx10^-9 "m or " 444.007 "nm"`
Therefore the speed, frequency and wavelength of refracted light are 2.26 × 108 m/s, 5.09×1014 Hz and 444.007 nm, respectively.
APPEARS IN
संबंधित प्रश्न
Double-convex lenses are to be manufactured from a glass of refractive index 1.55, with both faces of the same radius of curvature. What is the radius of curvature required if the focal length is to be 20 cm?
The refractive index of diamond is much greater than that of ordinary glass. Is this fact of some use to a diamond cutter?
A narrow beam of white light goes through a slab having parallel faces.
(a) The light never splits in different colours
(b) The emergent beam is white
(c) The light inside the slab is split into different colours
(d) The light inside the slab is white
The refractive index of a material changes by 0.014 as the colour of the light changes from red to violet. A rectangular slab of height 2.00 cm made of this material is placed on a newspaper. When viewed normally in yellow light, the letters appear 1.32 cm below the top surface of the slab. Calculate the dispersive power of the material.
A pole of length 1.00 m stands half dipped in a swimming pool with water level 50.0 cm higher than the bed. The refractive index of water is 1.33 and sunlight is coming at an angle of 45° with the vertical. Find the length of the shadow of the pole on the bed.
Answer the following question.
Define absolute refractive index and relative refractive index. Explain in brief with an illustration for each.
A ray of light travelling in a transparent medium of refractive index n falls, on a surface separating the medium from air at an angle of incidents of 45°. The ray can undergo total internal reflection for the following n.
When a ray of light is incident normally on one refracting surface of an equilateral prism of refractive index 1.5, the emerging ray ______.
`[sin^-1(1/1.5)=41.8^circ]`
For a rectangular slab, refraction takes place at ______.
