Two thin converging lenses of focal lengths 15cm and 30cm are held in contact. Calculate the power and focal length in combination.

Dear studentgiven f1=15cm and f2=30cmNow combined focal length will be1f=1f1+1f2or 1f=115+130=2+130=110or f=10cm now power is reciprocal of the focal length P=1f=10010=10D  (100 is taken because the focal length is in cm)Regards

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Power of a combination of lenses is the sum of both their powers.
 That is,
100/15+100/30=300/30=10D
Hence power of this combination is 10 D
Focal length= 100/power
=100/10=10cm
Hence the focal length of the combination is 10cm.
 
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