A diverging Mirror form an image of 2.4cm if the focal length of the mirror is 20 cm find the height and distance of the object from the front of the mirror
Using the mirror equation,
1/f = 1/v - 1/u,
where f is the focal length, v is the image distance, and u is the object distance, we can rearrange the equation to solve for u:
1/u = 1/f - 1/v.
Given that f = 20 cm and v = -2.4 cm (since the image formed by a diverging mirror is virtual and on the same side as the object), we can plug these values into the equation:
1/u = 1/20 - 1/(-2.4),
1/u = 0.05 + 0.416,
1/u = 0.466.
Now, we can solve for u:
u = 1/0.466,
u ≈ 2.146 cm.
Therefore, the object distance is approximately 2.146 cm. However, since the height of the object is not given, we cannot determine the height of the object from the information provided.