a height of 10cm object is placed before convex mirror at 3m distance of focal length 30 cm. Calculate distance of image, height of image, and magnification? Comment on the image
An object is placed at a distance of 10 cm from a convex mirror of focal length 5 cm.
(i) Draw a ray-diagram showing the formation of image.
(ii) State two characteristics of the image formed.
(iii) Calculate the distance of the image from mirror.
1033392
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Hard
Solution
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Object Distance(u) = 10 cm. (negative)
Focal length of the lens (f) = 5 cm.
We know, convex mirror always forms the virtual, upright and diminished.Also, Object distance in the convex mirror is always negative where as Image distance and focal length are positive.
Answers & Comments
Answer:
step by step:
Object distance u=−36 cm
Focal length of concave mirror f=−12 cm
Using mirror formula : v1+u1=f1
Or v1+−361=−121
⟹ v=−18 cm,
Magnification hohi=u−v
Or 10hi=−12−(−18)
⟹ hi=−15 cm
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Verified answer
Answer:
so the image distance (v) =3.33cm
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An object is placed at a distance of 10 cm from a convex mirror of focal length 5 cm.
(i) Draw a ray-diagram showing the formation of image.
(ii) State two characteristics of the image formed.
(iii) Calculate the distance of the image from mirror.
1033392
expand
Hard
Solution
verified
Verified by Toppr
Object Distance(u) = 10 cm. (negative)
Focal length of the lens (f) = 5 cm.
We know, convex mirror always forms the virtual, upright and diminished.Also, Object distance in the convex mirror is always negative where as Image distance and focal length are positive.
Now, Applying the Mirror's Formula,
f
1
=
v
1
+
u
1
=
5
1
=
v
1 + 1
=
5
1
=
10v
(10−v)
10v=50−5v
15v=50
v=
3
10