In a shaving mirror with a concave surface, the focal length is 15 cm. If a razor is initially positioned 30 cm away from the mirror, what is the distance of the image formed?-15 cm-30 cm+15 cm+30 cm
Question
In a shaving mirror with a concave surface, the focal length is 15 cm. If a razor is initially positioned 30 cm away from the mirror, what is the distance of the image formed?-15 cm-30 cm+15 cm+30 cm
Solution
To solve this problem, we can use the mirror formula which is 1/f = 1/v + 1/u. Here, f is the focal length, v is the image distance, and u is the object distance.
Given in the problem, the focal length f is -15 cm (it's negative because the mirror is concave) and the object distance u is -30 cm (it's negative because the object is on the same side of the mirror as the light being reflected).
Substituting these values into the mirror formula gives us:
1/-15 = 1/v + 1/-30
Solving this equation for v (the image distance) gives us:
1/v = 1/-15 - 1/-30 1/v = -2/30 + 1/30 1/v = -1/30
Therefore, v = -30 cm.
So, the image is formed 30 cm away from the mirror on the same side as the object. The negative sign indicates that the image is virtual and erect. The correct answer is -30 cm.
Similar Questions
In a concave mirror, an object is placed at a distance of 20 cm from the focus and the image is formed at a distance of 5 cm from the focus. What will be the focal length of the mirror?5 cm10 cm20 cm30 cm
A makeup artist uses a concave mirror with a focal length of 12 cm to apply makeup with precision. If the client's face is positioned 24 cm from the mirror, how far is the image of the face located from the mirror's surface?-8 cm-24 cm+8 cm+24 cm
A concave mirror of focal length 10 cm and a convex mirror of focal length 15 cm are placed facing each other 40 cm apart. A point object is placed between the mirrors, on their common axis and 15 cm from the concave mirror. Find the distance (in cm) between image and convex mirror. If the image produced by the successive reflections, first at concave mirror and then at convex mirror.
An object is placed at 60 cm from the pole of a concave mirror with focal length of 20 cm. Find the distance at which the image is formed.
A concave lens has focal length of 15 cm. At what distance should be object from the lens be placed so that it form an image at 10 cm from the lens?30 cm15 cm3 cm6 cm
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.