If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm, the focal length of the mirror must be :
Question
If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm, the focal length of the mirror must be :
Solution
To solve this problem, we can use the mirror formula which is 1/f = 1/v + 1/u.
Given that the magnification is -2 (it's negative because the image is virtual), we can say that the image distance (v) is -2 times the object distance (u).
Also, we know that the distance between the object and the image is 15 cm. So, we can write the equation as u - (-2u) = 15 cm. Solving this gives u = 5 cm.
Now, we can substitute u = 5 cm and v = -2u = -10 cm into the mirror formula.
So, 1/f = 1/-10 + 1/5 = -1/10 + 2/10 = 1/10.
Therefore, the focal length f = 10 cm.
Similar Questions
A virtual image of a real object formed in the mirror is observed to be reduce to one-third of the size of the object. If the focal length of the mirror is 25 cm, then the object distance isOnly one correct answerA.50 cmB.25 cmC.75 cmD.40 cm
For a concave mirror of focal length f, image is 2 times the size of the object. Then the object distance from the mirror may be
A thin rod of length 6 cm lies along the principal axis of the concave mirror of focal length 15 cm in such a way that the end closer to the pole is 30 cm away from it. Then the length of the image isSelect an answerA4.28 cmB1.75 cmC3.75 cmD4.5 cm
An object of height 4.5 cm is placed 32 cm in front of a concave mirror with a radius ofcurvature of 19 cm.(i) Draw a ray diagram to show the location of the image formed by the mirror andstate whether the image is real or virtual. [3 marks](ii) Calculate the distance of the image from the mirror. [3 marks](iii) Calculate the magnification of the image
Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm. The distance between images formed by the mirror is:40 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.