A student while obtaining a diminished real image of 5 cm object using a concave mirror of focal length 30 cm kept the mirror at 10 cm pointer on a meter scale and object 90 cm pointer.
state the position of the image with respect to the meter scale and also find the magnification and size of image
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Answer:
The position of the image is 5 cm behind the image..
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ANSWER
Given,
Focal length, f=−30 cm if u=−x
real ⇒ same side ⇒v=−ve
Magnification, m=
u
v
⇒v=m×u=3×(−x)=−3x
From mirror formula,
f
1
=
v
1
+
u
1
We get
−30
1
=
−3x
1
+
−x
1
⇒
30
1
=
3x
1+3
⇒
4
3x
=3⇒x=40 cm
So object should be placed at 40 cm to the mirror.
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