a cube of 20 cm is placed in front of a concave mirror of focal length 20 cm with its face at A at a distance of 80 cm and face B at a distance of 100 cm from mirror.
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Answer:
Using the mirror equation,
f
1
=
u
1
+
f
v
,
For point A,
v
A
1
=−1+
3
1
=−
3
2
.
So, v
A
=−
2
3
=−1.5
Similarly for point B,
v
B
1
=−1+
5
1
=−
5
4
.
So, v
A
=−
4
5
=−1.25.
the distance between two points is then 1.5−1.25=0.25 m
Now, using the magnification relation,
Object height
Image height
=−
Object distance
Image distance
.
For point A, Imageheight=−2×
−3
−1.5
=−1 m
And for point B, Imageheight=−2×
−5
−1.25
=−0.5 m
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