An object 5cm high is placed at a distance 60cm in front of a concave mirror of focallength 10cm.find the position and size of the image by drawing.
To find the position and size of the image formed by a concave mirror, follow these steps:
1. Draw a vertical line to represent the principal axis of the concave mirror.
2. Mark a point on the principal axis as the focal point. In this case, the focal length is given as 10 cm, so mark a point 10 cm away from the mirror along the principal axis.
3. Place the object on the principal axis, 60 cm in front of the mirror. Mark its height along the principal axis.
4. Draw a ray from the top of the object parallel to the principal axis. This ray will reflect off the mirror and pass through the focal point.
5. Draw a ray from the top of the object towards the focal point. This ray will reflect off the mirror parallel to the principal axis.
6. The intersection point of the two rays is the top of the image. Mark this point on the principal axis.
7. Repeat steps 4-6 for the bottom of the object to determine the bottom of the image.
8. Connect the top and bottom points of the image to trace out the image formation by the concave mirror.
9. Measure the distance from the mirror to the top of the image. This distance is the position of the image.
10. Measure the height of the image. This height is the size of the image.
By following these steps, you can find the position and size of the image formed by the concave mirror.