a) An object is placed in front of a concave mirror with a 47.0cm radius of curv

Question

a)
An object is placed in front of a concave mirror with a 47.0cm radius of curvature. A real image twice the size of the objectis formed (that is, the absolute value of the magnification is 2).Calculate the image distance. q
cm
b)
An object isplaced in front of a convex mirror with a -52.0 cm radius ofcurvature. A virtual image half the size of the object is formed.Calculate the object distance p.
cm


An object is placed in front of a concave mirror with a 47.0cm radius of curvature. A real image twice the size of the objectis formed (that is, the absolute value of the magnification is 2).Calculate the image distance. q
cm
b)
An object isplaced in front of a convex mirror with a -52.0 cm radius ofcurvature. A virtual image half the size of the object is formed.Calculate the object distance p.
cm

Explanation / Answer

R=25 cm

magnification m=2

q=image distance

p=object distance

m=-q/p

2=-q/p

q=2p

1/p + 1/q = 1/f

f= R/2

so plug in for f and q, 1/p + 1/(2p) = 1/(R/2)

1/p + 1/2p = 2/R

1/p + 1/2p = 2/25

3/2p = 2/25

this means 3(25)=2(2p)   -> 75 = 4p -> 75/4 = 18.75

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