Test Index

NCERT Class XII Chapter
Wave Optics
Questions With Solutions

© examsnet.com
Question : 1 of 21
Marks: +1, -0
Monochromatic light of wavelength 589 nm is incident from air on a water surface. What are the wavelength, frequency and speed of (a) reflected, and (b) refracted light? Refractive index of water is 1.33.
Solution:  
Soln. (a) In the process of reflection wavelength, frequency and speed of incident light remain unchanged.
So, speed of reflected light = speed of incident light, c = 3 × 108 m s−110^8 \,\mathrm{m}\,\mathrm{s}^{-1}
Wavelength of reflected light = wavelength of incident light
λ = 589 × 10−910^{-9} m
frequency of reflected light = frequency of incident light
f = cλ\frac{c}{\lambda} = 3×108359×10−9\frac{3\times10^8}{359\times10^{-9}} = 5.09 × 101410^{14} Hz
(b) In the process of refraction wavelength and speed changes but the frequency remain the same.
Speed of light in water, v = c μwa\frac{c}{\,\mu_w^{a}} = 3×1081.33\frac{3\times10^8}{1.33} = 2.26 × 108 m s−110^8 \,\mathrm{m}\,\mathrm{s}^{-1}
Wavelength of light in water
λ = vf\frac{v}{f} = 2.66×1082.09×1014\frac{2.66\times10^8}{2.09\times10^{14}} = 444 × 10−910^{-9} m or λ = 444 nm
© examsnet.com
Go to Question: