Determine the minimal height of a plane mirror in which a 1.8 m tall man can see himself entirely from his feet to the top of his head. Make a figure of the optimal arrangement.
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- You are standing 4m from a convex security mirror in a store. You estimate the height of your image to be half of your actual height. Estimate the radius of curvature of the mirror, and interpret its sign.Suppose a man stands in front of a mirror as shown in Figure. His eyes are 1.65 m above the floor, and the top of his head is 0.18 m higher. (a) Find the length of the smallest mirror in which he can see both the top of his head and his feet and its height above the floor. Length of the mirror: Height from floor to bottom of mirror: Height from floor to top of mirror: m (b) How is the mirror length related to the man's height? m m The mirror length is the man's height.A shopper stands 3.00 m away from a convex security mirror and notices that his image's height is only 1/4 of his actual height. What is the radius of curvature of the mirror?
- The spherical side mirror on a car is convex and has a radius of curvature of 23 cm. Another car is following, 2.2 m behind the mirror. If the height of the car is 1.15 m, how tall is its image?A man is standing in front of a plane mirror. What is the minimum mirror height to see his full image? Explain your answer.A concave mirror of a focal length 20 cm and a convex mirror f=20cm facing each other are 80 cm apart. A person who is in between the mirrors is facing the concave mirror at 30 cm in front of it. Locate and describe the final imagine of the person formed by the two mirrors if reflection in each mirror occurs only once. (Take concave mirror as the first reflector.)
- A man stands in front of a mirror as shown in the figure below. His eyes are 1.78 m above the floor, and the top of his head is 0.13 m higher. Find the height above the floor of the top and bottom of the smallest mirror in which he can see both the top of his head and his feet. top m bottom m How is the distance d from the top to the bottom of the mirror related to the man's height h? d =A woman 1.7 m tall stands 3.0 m in front of a plane mirror. What would be the required minimum height of the mirror if she were to stand 5.0 away?You are comparing two convex mirrors, both to be used in air. The first mirror has aradius of curvature of 1.2m and the other of 2.3m. Calculate the focal length of each mirror.Which one has the longer focal length?