Concave Lens Questions NCEA 2.3 Wave This sim covers NCEA Level 2 Standard 2.3. Demonstrate understanding of Waves 1. Enter the answer in the "Your Answer" box on the right (all answers rounded to 3 significant figures). 2. Click the "Answer" button on the left. 3. Your answer, mark and steps will be displayed on the right, and recorded in the "Report" sheet. 4. Click the "New Question" button if you want to try again. 5. Click the "Reset All" button if you want to clear everything and start from the beginning. 6. The result of each attempt will be recorded. Please click "Report " to see your results. 7. The comments provided for each step gives the formula and explanation for solving the problem. 8. The comment given in "Note" provides the underlying assumption/theory of the question. 9. '*' indicates the difficulty level: * is easy, ** is medium, and *** is advanced. Video Help: 3 Significant Figures Question 1a-Image Position* Leon is viewing an image with a lens. The object is placed 6 cm away from a CONCAVE Lens with a focal length of 5 cm. Video Help What is the distance between the image and the lens? (Be careful; concave lenses have a virtual focus. The focal length is negative and the distance, di, will be too) Your Answer Solution Mark Step 1: Step 2: Note: -2.73E+00 1 / (-5) = 1 / 6 + 1 / Di 1 / Di = -1 / 5 - 1 /6 1 / Di = 1 / -0.367 Di = -2.727 The negative sign implies that the image is virtual and' in this case, in front of the lens Question 1b -Image Height * The object is 6 cm High. What is the height of the image? Video Help Your Answer Solution Mark Step 1: Step 2: Step 3: -2.73E+00 Hi / 6 = -2.727 / 6 Hi = 6 * -0.455 Hi = -2.727 (cm) Question 1c - Nature* What is the nature of the image (is it virtual or real)? Your Answer Solution Mark Step: (pick one) Virtual All images produced by a concave lens are virtual, upright and diminished Video Help Question 2a -Image Position* Leon is viewing a second image. The object is placed 4 cm away from a CONCAVE Lens with a focal length 6 cm. Your Answer Solution Mark Step 1: Step 2: What is the distance between the image and the lens? Video Help (Be careful; concave lenses have a virtual focus. The focal length is negative and the distance, di, will be too) Note -2.40E+00 1 / (-6) = 1 / 4 + 1 / Di 1 / Di = -1 / 6 - 1 /4 1 / Di = 1 / -0.417 Di = -2.4 The negative sign implies that the image is virtual and, in this case, in front of the lens Question 2b - Image Height* The object is 3 cm high What is the height of the image? Your Answer Solution Mark Step 1: Step 2: Step 3: -1.80E+00 Hi / 3 = -2.4 / 4 Hi = 3 * -0.6 Hi = -1.8 (cm) Video Help Question 2c - Nature* What is the nature of the image (is it virtual or real)? Video Help Your Answer Solution Mark Step: (pick one) Virtual All images produced by a concave lens are virtual whether it is before or after the focal point Question 3- Magnification Factor ** Leon is given another image. The object is placed 8 cm from a concave lens and gives an image reduction factor of 2. Your Answer Solution Mark Step 1: What is the focal length of the lens? Video Help (Be careful; concave lenses have a virtual focus. The focal length is negative and the distance, di, will be too) Step 2: Because the image is virtual, the distance Di will be a negative number, although this does not affect the value calculated from the reduction factor -2.67E+00 Remember Hi/Ho = Di/Do, so Di / Do = 1/2 Di = (1/2) * 8 (Do) Because the image is virtual Di is negative 1/f = 1/8(Do) - 1/4(Di) f = -2.667