For no 7 this is the link: https://www.compadre.org/Physlets/optics/ex35_2.cfmFor no 8 this is the link: https://www.compadre.org/Physlets/optics/ex35_5.cfmAnswer all parts bold and underline
Back to the ray tracing simulation, for a diverging lens. Physlet Physics by Christian and Belloni: Exploration 35.2 (compadre.org) Open the simulation. Diverging Lens Ray Diagrams. Click on diverging lens and ray diagram below the simulation. You will see the figure to the left, with 3 rays coming from the head of the object. They are refracted along the vertical line through the lens center, meaning refracted by a "thin lens" along this line. The upper ray is refracted and extended back to the optical axis, this is the focal point "f" for this lens (purple dot, left of the lens). Our lecture figure to the right is the same. 7. a. Use the cursor to measure the distance from the lens to the focal point (purple dot). f= -_ m. b. This focal distance is - because it is to the right of the lens. Calculate the power, P = 1/f = - c, Measure the distance from the object (left of the lens) to the lens along the optical axis. do = m. d. Use the Thin Lens Equation 1/do + 1/dj = 1/f to calculate the image distance, di = - m. e. Measure the image distance, di = -_m. Do the di in 7.d. and 7.e. closely agree? Yes/No. f. Measure object height ho = m, and image height h, = _m. Calculate magnification, m = h/h. = g. do is Positive/Negative, dj is Positive/Negative, f is Positive/Negative, image is Real/Virtual, image is Erect/Inverted. https://www.compadre.org/Physlets/optics/ex35 5.cfm Open the simulation Lens Maker's Equation There are sliders on the bottom of the simulation, radius of curvature of right and left sies of the lens. Slide both fully to the left, making them +1 m. Click on set value. The shape of the lens is then shown in the simulation in very dark blue with a black background. Notice that its second surface (on its right) bulges "out", not "in" as the second surface does in the lecture figure. Moving the sliders to minimum radii gives a shorter focal length. We can now make some measurements with the cursor to verify the Lens Maker's Equation. First set the Index of refraction to 1.5 (glass), and then click set value. The Lens Maker's Equation is 1/f = (n-1)(1/R1 + 1/R2). 8. a. Calculate the focal length using R1 = +1 m, and R2 = +1, with n = 1.5. f= m. b. Measure the focal length with the cursor, center of the lens to where the parallel rays converge, f = m. (ignore the little hand that pops up in the center of the lens). c. If the lens were made of high-index plastic, n = 1.7. Calculate f here with the radii the same, f = m. d. Click set value with n = 1.7, and measure, f =_ m. "Near 30 % reduction in f, quite a bit better with pricey high-index plastic, that's lighter and sits better on your nose"