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Question

Given 1f=1v+1u; find v, if u=3f and f=10cm

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Solution

Given 1f=1v+1u
Multiply both sides by fuv
Then vu=fu+fv
Or vufv=fu
Or v(uf)=fu
Or v=fuuf Given u=3f
Then v=f×3f3ff
given f=10cm
So v=3f22f
Or v=3×1002×10=30020=15cm

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