A convex mirror produces a magnification of 1/2 when an object is placed at X position and a magnification of 1/3 when the object is at Y . If X and Y are 60 cm apart , find the focal length of the mirror
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8
u1=X,v1=v...m1=1/2
u2=Y,v2=V..m2=1/3
m=-v/u
-v/X=1/2 ,X=-2v
similarly...Y=-3V
1/f=1/v+1/u
in case 1,
1/f=1/v+(1/-2v)=1/2v
f=2v
similarly
f=3V/2
3V=2f
Y-X=3V-2v=2f-f=60
f=60
u2=Y,v2=V..m2=1/3
m=-v/u
-v/X=1/2 ,X=-2v
similarly...Y=-3V
1/f=1/v+1/u
in case 1,
1/f=1/v+(1/-2v)=1/2v
f=2v
similarly
f=3V/2
3V=2f
Y-X=3V-2v=2f-f=60
f=60
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0
Answer:
+60cm is the correct answer.
Explanation:
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