The lens equation is 1 f 1 p 1 q

Asked by maham237 @ 14/07/2021 in Mathematics viewed by 262 People

, where f is the focal length of the lens, p is the distance of the object from the lens, and q is the distance of the image from the lens. The formula to find q is: a. q=pf/p-f
b. q=p-f/pf
c. q=pf/p+f

Answered by maham237 @ 14/07/2021

1/f=1/p + 1/q
least comom multiple=pfq
(pq)/(pfq)=(fq)/(pfq)+(pf)/(pfq)
Because all denominators are the same, we can eliminate the denominators.
pq=fq+pf
pq-fq=pf
q(p-f)=pf
q=pf / (p-f)

Answer: a. q=pf / (p-f)

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