Someone help me answer these questions because I don\'tunderstand the concept. I

Question

Someone help me answer these questions because I don'tunderstand the concept. I hope someone can answer me thoroughly indetails so that I'll be able to explain it in my own words. Thankyou for your help in advance. 1. starting from equation 1, derive equation 3. Notice thatthe image formed by the first lens is the object of the second one,and englect the thickness of the lenses. (HINT: Show that when d=0,1/p1+1/q2=1/f1+1/f2) equation 1: 1/p+1/q = 1/f OR f=pq/(p+q) equation 3: 1/feq = 1/f1+1/f2 OR Deq = D1+D2 Someone help me answer these questions because I don'tunderstand the concept. I hope someone can answer me thoroughly indetails so that I'll be able to explain it in my own words. Thankyou for your help in advance. 1. starting from equation 1, derive equation 3. Notice thatthe image formed by the first lens is the object of the second one,and englect the thickness of the lenses. (HINT: Show that when d=0,1/p1+1/q2=1/f1+1/f2) equation 1: 1/p+1/q = 1/f OR f=pq/(p+q) equation 3: 1/feq = 1/f1+1/f2 OR Deq = D1+D2

Explanation / Answer

The situation here is for 2 thin lenses "in contact" with oneanother 1 / p1 + 1 / q1 = 1 /f1    the thin lens equation for lense1 A real image distance to the right of lens 1 becomes anegative object distance for lens 2 1 / p2 + 1 / q2 = 1 /f2   = -1 / q1 + 1 /q2     since p2 = - q1 1 / p1 + 1 / q2 = 1 / f1 + 1/ f2    = 1 /feq     after adding the 2 equations- the required result p1 = object distance,   q2 = image distance ,   feq is the equivalent focal length of thecombination D (the power in diopters) = 1 / f    where f isthe focal length in meters 1 / p1 + 1 / q2 = D1 +D2 =Deq      using theequation for the 2 lenses in contact 1 / p1 + 1 / q2 = 1 / f1 + 1/ f2    = 1 /feq     after adding the 2 equations- the required result p1 = object distance,   q2 = image distance ,   feq is the equivalent focal length of thecombination D (the power in diopters) = 1 / f    where f isthe focal length in meters 1 / p1 + 1 / q2 = D1 +D2 =Deq      using theequation for the 2 lenses in contact

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