A mirror produces a vitural image of size twice that the object If the foca length is 24cm find
the possition
of the object
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Case 1 :
Magnification m=−2 (image is real)
Object distance u=−22.5cm
From m=u−v
∴ −2=u−v
We get v=2u=−45cm
Using f1=v1+u1
f1=−451−22.51=45−1−2
f1=45−3
⟹ f=−15cm
Case 2 :
Let the new object distance be x i.e. u=−xnow.
Magnification m=−3 (image is real)
From m=u−v
∴ −3=−x−v ⟹v=−3x
Using f1=v1+u1
−151=−3x1+−x1
−151=−3x1+3
−3x=−60
x=+20cm.
Hence, object must be placed at 20 cm.
Case 1 :
Magnification m=−2 (image is real)
Object distance u=−22.5cm
From m=u−v
∴ −2=u−v
We get v=2u=−45cm
Using f1=v1+u1
f1=−451−22.51=45−1−2
f1=45−3
⟹ f=−15cm
Case 2 :
Let the new object distance be x i.e. u=−xnow.
Magnification m=−3 (image is real)
From m=u−v
∴ −3=−x−v ⟹v=−3x
Using f1=v1+u1
−151=−3x1+−x1
−151=−3x1+3
−3x=−60
x=+20cm.
Hence, object must be placed at 20 cm.
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