An object is at a distance of 10 cm from a mirror and the image of the object is at a distance of 30 cm from the mirror on the same side as the object. Then nature of the mirror and its focal length is:
Convex, 15cm
Concave, 1.5cm
Convex, 7.5cm
Concave, 7.5cm
As we learn
Sign Convention -
1) All distance are measured from pole.
2) Distance measured in the direction of incident rays are taken as positive.
3) Distance measured in the direction opposite to that of incident rays are taken as negative.
4) Distance above the principal axis as positive and below the principal axis as negative.
u = -10 cm
v = - 30cm from sign convention
from mirror formula
f = -7.5 cm
since focal length is negative hence its mirror concave