Draw a ray diagram in each of the following cases to show the formation of image, when the object is placed:
(i) between optical centre and principal focus of a convex lens.
(ii) anywhere in front of a concave lens.
(iii) at 2 F of a convex lens. State the signs and values of magnifications in the above-mentioned cases (i) and (ii).
OR
An object 4.0 cm in size, is placed 25.0 cm in front of a concave mirror of focal length 15.0 cm
(i) At what distance from the mirror should a screen be placed in order to obtain a sharp image?
(ii) Find the size of the image.
(iii) Draw a ray diagram to show the formation of image in this case.
(i)

(ii)

(iii)

Magnification = Height of Image/Height of Object Sign Convention
(i) Distances measured perpendicular to and above the principal axis (along + y-axis) are taken as positive.
(ii) Distances measured perpendicular to and below the principal axis (along –y-axis) are taken as negative.
Magnification is positive for erect images and negative for inverted images.
Thus, magnification is positive in part (i) and (ii).
OR
(i) First we find the position of the image that will form Using mirror formula,

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so, we place screen at a distance 37.5 cm from the place, in front the mirror.
(ii) We know,

(iii)

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