Two convex lenses have focal lengths of 50 cm and 25 cm, respectively. If these two lenses are placed in contact, then the net power of this combination will be eal to

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Q: 81 (NDA-II/2022)
Two convex lenses have focal lengths of 50 cm and 25 cm, respectively. If these two lenses are placed in contact, then the net power of this combination will be eal to

question_subject: 

Maths

question_exam: 

NDA-II

stats: 

0,4,9,4,4,3,2

When two lenses are placed in contact, their powers can be added together to find the net power of the combination. The power of a lens is determined by its focal length, which is the distance at which it brings parallel rays of light to a focus. The formula to calculate power is P = 1/f, where P is power and f is focal length, measured in meters.

In this question, the first lens has a focal length of 50 cm, which is equal to 0.5 meters. Therefore, its power would be P1 = 1/0.5 = 2 dioptre.

Similarly, the second lens has a focal length of 25 cm, which is equal to 0.25 meters. Therefore, its power would be P2 = 1/0.25 = 4 dioptre.

Now, when these two lenses are placed in contact, their powers are added together to calculate the net power of the combination. P_net = P1 + P2 = 2 + 4 = 6 dioptre.

Hence, the correct answer is option 2, +6 dioptre.