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Answers
Answer:
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Answer:
1)=Here, Radius of Curvature of the mirror is 30cm
2)=Here, The object is about 60cm in front of the mirror and is real and inverted. Size of the Image is 8cm.
Explanation:
1)=Here, As per our given question,
=Focal length(f) of the mirror =15cm
=Radius of Curvature(R) of the mirror=?
Now, As it is considered that,
=f=R/2
=So, R=2f
=R=15×2
=R=30cm
Hence, The value of R in this Convex mirror =30cm.
2)=Here, As given in question,
=Height of the object(ho)=4cm
=Focal length(f) of the mirror=(-20cm) (As value of f in Concave mirror is in negative)
=Distance of object from the mirror(U)=(-30)cm
=Distance of image from the mirror(V)=?
Now, As it is considered that,
=1/f=1/V+1/U
=1/(-20)=1/V+1/(-30)
=1/V=1/(-20)+1/30
After taking Lcm and solving it, we get,
=1/V=[(-3)+2]/60
=1/V=(-1)/60
Now, by doing reciprocal on both sides, we get,
=V=(-60)
=V=60cm
Now, Magnification(M)= M=(-V)/U
=M=60/-30
=M=2/(-1)
=M=(-2)
Here, The position of image is 60cm in front of the mirror and is real and inverted.
Now, height of image(hi)= M=hi/ho
=hi=M×ho
=hi=2×(-4)
=hi=(-8)
=hi=8cm
Thank you.