How far is the object from the mirror and what is the curvature?

[xswtxoj]

Homework Statement

An object is placed 15cm from a certain mirror, the image is half the size of the object, upright, and virtual. how far is the image fromt he mirror, and what is the radius of curavature of the mirror?

Homework Equations

1/f = 1/p + 1/q

f= r/2

The Attempt at a Solution

1/f = 1/p + 1/q
1/15= 1/-7.5

1/q = 1/5cm

f= r/2
r=f*2
15*2= 30cm

 

[rl.bhat]

1/f = 1/p + 1/q
1/15= 1/-7.5
This step is wrong.
It should be
1/f = 1/p + 1/q
1/f = 1/15 + 1/-7.5

 

[xswtxoj]

so base on what was corrected the answer is -1/15cm is how far is the image from the mirror, and what is the radius of curavature of the mirror is f= r/2
r=f*2
-1/15*2= -2/15cm?

 

[xswtxoj]

oh i mean -30cm for r

 

[rl.bhat]

Yes.