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  • (a) Monochromatic light of wavelength 589 nm is incident from air on a water surface. If  for water is 1·33, find the wavelength, frequency and speed of the r

(a) Monochromatic light of wavelength 589 nm is incident from air on a water surface. If \mu for water is 1·33, find the wavelength,
frequency and speed of the refracted light.
(b) A double convex lens is made of a glass of refractive index 1·55, with both faces of the same radius of curvature. Find the radius of curvature required, if the focal length is 20 cm.

 

 

Answers (1)

(a)

C=\nu \lambda

\nu =\frac{C}{\lambda } = \frac{3\times 10^{8}}{589\times 10^{-9}}=5.09\times 10^{14}Hz

\lambda _{water}=\frac{\lambda_{air}}{\mu_{water}}=\frac{589\times 10^{-9}}{1.33}=4.42\times 10^{-7}m

Speed of light in water

V = \frac{C}{\mu}      

  =\frac{3\times 10^{8}}{1.33}

  =2.26\times 10^{8}m/s                                                                          

(b)

\frac{1}{f}=(n-1)\left [ \frac{1}{R_{1}} -\frac{1}{R_{2}}\right ]

Here R_{1}=R ,R_{2}=-R

\frac{1}{f}=(n-1)\left [ \frac{2}{R} \right ]

\frac{1}{20}=(1.55-1)\left [ \frac{2}{R} \right ]

R=22 cm

Posted by

Safeer PP

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