An object is placed at a distance of 15 cm in front of a concave mirror with a radius of curvature of 20 cm. Which one among the following statements is correct for the image formed ?

To find the image position, we use the mirror formula: 1/f = 1/v + 1/u. Given:

• Object distance (u) = -15 cm (using sign convention).
• Radius of curvature (R) = -20 cm, so focal length (f) = R/2 = -10 cm.

Substituting the values into the formula:

1/v = 1/f - 1/u
1/v = 1/(-10) - 1/(-15)
1/v = -1/10 + 1/15
1/v = (-3 + 2) / 30 = -1/30

Therefore, v = -30 cm. The negative sign indicates that the image is formed at a distance of 30 cm from the mirror on the same side as the object. This is a real and inverted image.