An object is pulled out at a distance of 25cm from a spherical mirror as its image is formed behind the mirror at a distance of 5cm.Find the focal length, is it a concave or convex mirror
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Asked on December 30, 2019 byPawan Momin
When an object is placed at a distance of 25 cm from a spherical mirror, the magnification is m1. When the object is moved 15 cm away from mirror with respect to the earlier position, then magnification becomes m2. If m2m1=4, then the focal length of the mirror is :
A
−10 cm
B
20 cm
C
15 cm
D
−20 cm
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From the formula, v=u−fuf
Magnification m=u−v=f−uf
From the question,
For first case, object distance u1=−25cm
After the object is moved 15 cm away from the mirror, new object distance becomes u2=−40cm
∴ m2m1=f−u1f−u2=4
Or f+25f+40=4
Or 3f=−60 cm
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Answer:
Answer: Focal length is 6.25cm and the mirror is convex in nature.
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