Lens Equation Word Problems

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Presentation transcript:

Lens Equation Word Problems Seo Physics

Word problem terminologies 1) Spherical center = radius of curvature 2) Focal point = half of the radius of curvature 3) Converging lens = convex lens 4) Diverging lens = concave lens 5) Double concave lens = concave mirror

Mirror equation review Lens Equation? 1 + 1 = 1 do di f do di

Magnification review hi = -di = M do ho ho hi Magnification ratio equation? hi = -di = M ho do ho hi

Practice 1 An object is 3.3 cm high is 22.0 cm from a concave lens. The radius of curvature is 25 cm. A) Draw the Ray Diagram B) Image Characteristics Image is Reduced, Real, and Inverted 3.3 cm hi 22 cm

di = 29.0 cm hi = -4.35 cm Practice 1 (con.) 1 + 1 = 1 do di f An object is 3.3 cm high is 22.0 cm from a concave lens. The radius of curvature is 25 cm. (Focal length is half of the radius curvature. f= 12.5 cm). 1 + 1 = 1 do di f C) Find the Image distance 1 = 1 - 1 22 cm di 12.5 cm = 0.08 cm- 0.045 cm di = 29.0 cm 1/di= 0.0345 cm hi = -di = M ho do D) Find the height of the Image hi = -4.35 cm hi = -di x ho do hi = -29 cm x 3.3 cm 22 cm

DIY A bird 2.0 cm high is 30.0 cm from a concave lens. The radius of curvature is 20.0 cm. A) Draw the Ray Diagram B) Image Characteristics Image is Reduced, Real, and Inverted 2 cm hi 30 cm

di = 15 cm hi = -1 cm DIY (con.) 1 + 1 = 1 do di f 1 = 1 - 1 A bird 2.0 cm high is 30.0 cm from a concave mirror. The radius of curvature is 20.0 cm (focal length is half of the radius curvature= 10 cm) 1 + 1 = 1 do di f C) Find the Image distance 1 = 1 - 1 30 cm di 10 cm = 0.1 cm – 0.03cm di = 15 cm 1/di= 0.0667 cm hi = -di = M ho do D) Find the height of the Image hi = -1 cm hi = -di x ho do hi = -15 cm x 2.0 cm 30 cm

Practice 2 hi ho 20 cm 15 cm B) Image Characteristics A bird that is 5 cm high is placed 15 cm in front of a converging lens with focal length of 20 cm. A) Draw the Ray Diagram ho hi 20 cm 15 cm B) Image Characteristics Image is Reduced, Inverted and Virtual

di = -58.82 cm hi = 19.60 cm Practice 2 (con.) 1 + 1 = 1 do di f A bird that is 5 cm high is placed 15 cm in front of a converging lens with focal length of 20 cm. 1 + 1 = 1 do di f C) Find the Image distance 1 = 1 - 1 15 cm di 20 cm = 0.05 cm – 0.067cm di = -58.82 cm 1/di= -0.017 cm hi = -di = M ho do D) Find the height of the Image hi = 19.60 cm hi = -di x ho do hi = 58.82 cm x 5.0 cm 15 cm

DIY hi ho 20 cm 35 cm B) Image Characteristics A bird is 10 cm high and placed 35 cm in front of a converging lens with radius of curvature of 20 cm. A) Draw the Ray Diagram ho hi 20 cm 35 cm B) Image Characteristics Image is Reduced, Inverted and Virtual

di = 14.28 cm hi = -4.08 cm DIY (con.) 1 + 1 = 1 do di f 1 = 1 - 1 A bird is 10cm high and placed 35 cm in front of a converging lens with radius of curvature of 20 cm. 1 + 1 = 1 do di f C) Find the Image distance 1 = 1 - 1 35 cm di 10 cm = 0.1 cm – 0.03cm di = 14.28 cm 1/di= 0.07 cm hi = -di = M ho do D) Find the height of the Image hi = -4.08 cm hi = -di x ho do hi = -14.28 cm x 10.0 cm 35 cm