In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance u and the image distance v, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of 45o with the x-axis meets the experimental curve at P. The coordinates of P will be

Question

In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance u and the image distance v, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of 45o with the x-axis meets the experimental curve at P. The coordinates of P will be (A) (2f, 2f) (B) ((f/2), (f/2)) (C) (f, f) (D) (4f, 4f)

Tardigrade Admin · Accepted Answer

It is possible when object kept at centre of curvature. u = v u = 2f, v = 2f.

$(2 f, 2 f)$

$(\frac{f}{2}, \frac{f}{2})$

$(f, f)$

$(4 f, 4 f)$

It is possible when object kept at centre of curvature.
$u = v$
$u = 2 f, v = 2 f .$

(2f,2f)

(2f​,2f​)

(f,f)

(4f,4f)

It is possible when object kept at centre of curvature. u=v u=2f,v=2f.

$(2 f, 2 f)$

$(\frac{f}{2}, \frac{f}{2})$

$(f, f)$

$(4 f, 4 f)$

It is possible when object kept at centre of curvature.
$u = v$
$u = 2 f, v = 2 f .$