At what distance from a concave mirror of focal length 10 cm should an object 2 cm long be placed in order to get an erect image 6 cm tall?

At a -6.7 cm distance from a concave mirror of focal length 10 cm should an object 2 cm long be placed in order to get an erect image 6 cm tall. Steps to calculate the distance from a concave mirror of focal length:

Step 1: Given parameters

Height of the object, h0 = 2 cm

The focal length of the concave mirror, f = – 10 cm

Height of the image, hi = 6 cm

Step 2: Now we have to calculate Parameter

We need to find the distance of the object

Step 3: The formula to find the distance of the object is

m = hi/ho and 1/v + 1/u = 1/f

Step 4: calculation of the distance of the object is

Thus, m = 3 cm (erect image)

Also m = -v/u

We get v = – 3u

Using the Mirror formula,

1/v + 1/u = 1/f

1/(-3u) + 1/u = 1/f

Hence, u = -6.70 cm

Therefore, the object must be placed in a -6.7 cm concave mirror to get an image of 6 cm tall.