A convex lens of focal length 15 cm is used to obtain an image on screen for an object placed at a distance 25cm from optical centre, if size of object is 5cm then calculate the position of screen and size of image formed. verify your answer by drawing ray diagram for the same situation by choosing appropriate scale.
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Given data,
f=15cm
v=30cm
h=−5cm
u=?
⇒
f
1
=
v
1
−
u
1
⇒
u
1
=
v
1
−
f
1
=
30
1
−
15
1
=
30
1−2
=
30
−1
⇒u=−30cm
Also we know that,
m=
u
+v
=
h
h
′
⇒
30
−30
=
−5
h
⇒h=+5
∴object height=
f=15cm
v=30cm
h=−5cm
u=?
⇒
f
1
=
v
1
−
u
1
⇒
u
1
=
v
1
−
f
1
=
30
1
−
15
1
=
30
1−2
=
30
−1
⇒u=−30cm
Also we know that,
m=
u
+v
=
h
h
′
⇒
30
−30
=
−5
h
⇒h=+5
∴object height=
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