A 2.0 cm tall object is placed 15 cm in front of a concave mirror of focal length 10 cm. What is the size and nature of the image?
4 cm, real
4 cm, virtual
1.0 cm, real
none of these
A.
4 cm, real
According to new cartesian sign convention,
Object distance, u = 15 cm
Focal length of the concave mirror f = 10 cm
Height of the object h0 = 2 cm
According to mirror formula
⇒
⇒ =
⇒
⇒
⇒ v = 30 cm
The image is formed at a distance of 30 cm from the mirror on the same side of the object. It is a real image.
Magnification of the mirror
m =
=
⇒
⇒ hI = 4cm
Negative sign shows that image is inverted.
The image is real, inverted, of size 4 cm at a distance of 30 cm in front of the mirror.