Question

in order to obtain magnification of -1. 5 with a concave mirror of focal length 16 cm the object will be placed at a distance of ​

Answer 1

Given : Magnification = -1.5, Focal length of concave mirror = 16 cm

To find : The distance of the object from the mirror.

Solution : We know that,

• Magnification, M = -(image distance/object distance)

M = -v/u

-v/u = -1.5

• v = 1.5u

• Applying mirror formula,

1/v + 1/u = 1/f

1/(1.5u) - 1/u = -1/16

u - 1.5u/1.5×u×u = -1/16

-0.5/1.5u = -1/16

• u = 16/3 cm

Hence, the object will be placed at a distance of 16/3 cm.

Answer 2

Answer:

The object should be placed between 32 cm and 16 cm in order to obtain a magnification of -1.5 with a concave mirror of focal length 16 cm.