Explanation:
When an object is placed at 2F, it forms a real, inverted image of the same size.
Using, the lens' formula,
v
1
−
u
=
f
We know that magnification m=
h
O
I
Given that the size of image is same as that of the object, we have v=u
Also, since object is infront of the mirror u=−v, using sign convention
Substituting in the lens' formula, we have,
2
Hence, v=2f
Since u=−v. Hence, u=−2F, i.e. the object must be placed at position 2F in front of the convex lens.
So, option B is correct
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Answers & Comments
Explanation:
When an object is placed at 2F, it forms a real, inverted image of the same size.
Using, the lens' formula,
v
1
−
u
1
=
f
1
We know that magnification m=
u
v
=
h
O
h
I
Given that the size of image is same as that of the object, we have v=u
Also, since object is infront of the mirror u=−v, using sign convention
Substituting in the lens' formula, we have,
v
2
=
f
1
Hence, v=2f
Since u=−v. Hence, u=−2F, i.e. the object must be placed at position 2F in front of the convex lens.
So, option B is correct