A lens is formed from a plastic material that has an index of refraction of 1.59 . If the radius of curvature of one surface is 1.15 m and the radius of curvature of the other surface is 1.80 m , use the lensmaker's equation to calculate the magnitude of the focal length | f | and the power | P | of the lens.

Respuesta :

Answer:

a) 5.39 m

b) 0.18 m^-1

Explanation:

The focal length of this kind of optical system is given by:

[tex]\frac{1}{f}\approx(n-1)[\frac{1}{R_1}-\frac{1}{R_2}][/tex]

you replace the values of the parameters in order to find the focal length:

[tex]\frac{1}{f}=(1.59-1)[\frac{1}{1.15m}-\frac{1}{1.80m}]=0.18m^-1\\\\f=\frac{1}{0.18}m=5.39m[/tex]

hence, the magnitude of the focal length is 5.39m

The power of the lens is:

[tex]P=\frac{1}{f}=0.18\ m^{-1}[/tex]

the power of the lens is 0.18 m^-1