This is for my take home, any and all help would be greatly appreciated!! http:/

ID: 2256981 • Letter: T

Question

This is for my take home, any and all help would be greatly appreciated!!

http://s978.photobucket.com/user/mti193/media/20131214_230817_zps8614471a.jpg.html

http://s978.photobucket.com/user/mti193/media/20131214_230825_zpsb1b760fc.jpg.html

You have asked for 4 cases: concave and convex mirror and concave and convex lens

A) Lets take mirror:

m = -v/u ; v = -mu ; v = image distance and u = object distance.

f = r/2 (for concave mirror, f is negative and for convex it is positive)

mirror formula : 1/v + 1/u = 1/f

a) -1/mu + 1/u = 1/2r (convex)

solving, u = 2r(m-1)/m

for this distance, v = 2r(1-m)

b) -1/mu + 1/u = -1/2r (concave)

solving, u = 2r(1-m)/m

for this distance, v = 2r(m-1)

B) For lens:

m = v/u ; v = mu ; v = image distance and u = object distance.

f = r/2 (for concave lens, f is negative and for convex it is positive)

lens formula : 1/v - 1/u = 1/f

a) 1/mu - 1/u = 1/2r (convex)

solving, u = 2r(1-m)/m

for this distance, v = 2r(1-m)

b) 1/mu - 1/u = -1/2r (concave)

solving, u = 2r(m-1)/m

for this distance, v = 2r(m-1)

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