An object of height 8 cm is placed in front of a concave mirror of focal length 15 cm at a distance of 25 cm . Find the position and nature of image ?
Answers
Size of object h
o
=7cm
Size of the object h
o
=?
Focal length f=−15cm
Object distance u=−25cm
Image distance v=?
Using mirror formula,
f
1
=
v
1
+
u
1
−15
1
=
v
1
+
−25
1
v
1
=
75
−5+3
v=−37.5cm
Hence, position of image at 37.5cm infront of the mirror.
Magnification(M)=
h
o
h
i
=
u
−v
=
−25
37.5
=−1.5
h
i
=−1.5×h
O
h
i
=−1.5×7=−10.5cm
Hence,size of image is −10.5cm.
Nature of image is real,inverted and magnified.
Answer:
Size of object h
o
=7cm
Size of the object h
o
=?
Focal length f=−15cm
Object distance u=−25cm
Image distance v=?
Using mirror formula,
f
1
=
v
1
+
u
1
−15
1
=
v
1
+
−25
1
v
1
=
75
−5+3
v=−37.5cm
Hence, position of image at 37.5cm infront of the mirror.
Magnification(M)=
h
o
h
i
=
u
−v
=
−25
37.5
=−1.5
h
i
=−1.5×h
O
h
i
=−1.5×7=−10.5cm
Hence,size of image is −10.5cm.
Nature of image is real,inverted and magnified.
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Explanation:
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