SATHEE: Optics Question 618

Optics Question 618

Question: Two lenses have focal lengths $f_{1}$ and $f_{2}$ and their dispersive powers are $ω_{1}$ and $ω_{2}$ respectively. They will together form an achromatic combination if

Options:

A) $ω_{1} f_{1} = ω_{2} f_{2}$

B) $ω_{1} f_{2} + ω_{2} f_{1} = 0$

C) $ω_{1} + f_{1} = ω_{2} + f_{2}$

D) $ω_{1} - f_{1} = ω_{2} - f_{2}$

Show Answer

Answer:

Correct Answer: B

Solution:

For achromatic combination, $\frac{w_{1}}{f_{1}} + \frac{w_{2}}{f_{2}} = 0$

Therefore $w_{1} f_{2} + w_{2} f_{1} = 0$

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Optics Question 618

Question: Two lenses have focal lengths f1 and f2 and their dispersive powers are ω1 and ω2 respectively. They will together form an achromatic combination if

Options:

Answer:

Solution:

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Question: Two lenses have focal lengths $f_{1}$ and $f_{2}$ and their dispersive powers are $ω_{1}$ and $ω_{2}$ respectively. They will together form an achromatic combination if