An object 5cm tall is placed 8cm before a concave and convex lens .if the image form is 10cm from the mirror.
(i). Determine the focal length of the mirror
(ii). Calculate the magnification if any.
Please friend I need solution
Is it lens or mirror ? Please check what you wrote.
It is lens
Sure, I can help you with that! To find the focal length of the mirror and calculate the magnification, we'll use the lens formula and magnification formula respectively. Here's how to do it:
(i) Determine the focal length of the mirror:
1. We know that the object distance, u = 8 cm.
2. We also know that the image distance, v = -10 cm (since the image is formed on the same side as the object).
3. The formula we'll use is: 1/f = 1/v - 1/u, where f denotes the focal length.
Plugging in the values, we get: 1/f = 1/(-10) - 1/8.
Simplifying further: 1/f = (-8 + 10) / (-10 * 8) = 2 / 80 = 1 / 40.
Hence, the focal length of the mirror is f = 40 cm (since 1/f = 1/40).
(ii) Calculate the magnification:
1. The formula for magnification is: magnification (m) = v/u.
2. Plugging in the values, we have: m = (-10) / 8 = -1.25.
The negative sign indicates that the image is inverted.
Therefore, the magnification is -1.25.
I hope this explanation helps! Let me know if you have any further questions.