An object 1.00 cm high is placed 18.0cm from a converging lens forms a real image 2.00cm high. Calculate the focal length of the lens
According to formula of lense,
hiho=vu\frac{hi}{ho} = \frac{v}{u}hohi=uv
Here,
hi = -2
ho = 1
u = -18
Hence,
−21=v−18\frac{-2}{1} = \frac{v}{-18}1−2=−18v
v = 36 cm
By lens formula,
1f=1v+1u\frac{1}{f} = \frac{1}{v} + \frac{1}{u}f1=v1+u1
1f=136+1−18\frac{1}{f} = \frac{1}{36} + \frac{1}{-18}f1=361+−181
f = -36 cm
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