An object is placed 15cm from a concave mirror of focal length 25cm what is position of image? If object is 2cm high what is hight of image?
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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, v1+u1=f1
⇒v1=f1−u1=−101−1−51=−101+151
or 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=u−v=h0h1
⇒−15−(−30)=2h1⇒hI=−4 cm.
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.
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