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Image Formation by Convex Lens

Why f=R/2 not...

Question

Why f=R/2 not valid everywhere in case of concave and convex lenses?is the sign of focal length for convex lens always positive and for concave lens always negative?

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Why focal length of convex mirror and convex lens is positive while concave mirror and concave lens negative?

Q. Find out the correct option from the following.
(a) The magnification is positive for all virtual images and is negative for all real images.
(b) The magnification of concave lens and convex mirror is always positive where as the magnification of convex lens and concave mirror can be positive or negative depending on the position of the object before the lens.

Q. Concave lens always produces virtual image and convex lens always produces real image.

Q. According to New Cartesian Sign Convention:

(a) focal length of concave mirror is positive and that of convex mirror is negative
(b) focal length of both concave and convex mirrors is positive
(c) focal length of both concave and convex mirrors is negative
(d) focal length of concave mirror is negative and that of convex mirror is positive

Q. A convex lens of focal length

20 c m

and a concave lens of focal length

f

are mounted coaxially

5 c m

apart. Parallel beam of light incident on the convex lens emerges from the concave lens as a parallel beam. Then,

f

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