Question

The radius of a concave spherical mirror is 50 cm. an object is placed 40 cm from the mirror. which attributes of the image listed below are the correct ones? a) larger, real inverted, closer b) smaller, real, upright, farther c) larger, virtual, inverted, farther d) smaller, virtual, upright, closer e) none of these

Can i also please have an explanation?

THankyou :D

Answer 1

focus = Radius / 2 ==> -50/2 = -25 cm for cancave mirror focus sign is negative
1/ i +1/o =1/ f ==> 1/ i +1/40 =1/ (-25) ==> i = -15.38 cm
negative sign shows that image is real

magnification m = -v/u = -(-15.38) / 40 = 0.3845
as m<1 image is smaller than object also m is positive image is upright
so the answer is none of these as image is   smaller, real, upright, closer