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Question

Question: A convex lens of focal length 40 *cm* is an contact with a concave lens of focal length 25 *cm*. The...

A convex lens of focal length 40 cm is an contact with a concave lens of focal length 25 cm. The power of combination is

A

– 1.5 D

B

– 6.5 D

C
  • 6.5 D
D
  • 6.67 D
Answer

– 1.5 D

Explanation

Solution

By using 1F=1f1+1f2\frac { 1 } { F } = \frac { 1 } { f _ { 1 } } + \frac { 1 } { f _ { 2 } }1F=1+40+125\frac { 1 } { F } = \frac { 1 } { + 40 } + \frac { 1 } { - 25 }

, hence P=100f(cm)=100200/3=1.5DP = \frac { 100 } { f ( c m ) } = \frac { 100 } { - 200 / 3 } = - 1.5 \mathrm { D }