SATHEE: Optics Question 641

Optics Question 641

Question: $f_{v}$ and $f_{r}$ are the focal lengths of a convex lens for violet and red light respectively and $F_{v}$ and $F_{r}$ are the focal lengths of a concave lens for violet and red light respectively, then

[CBSE PMT 1996]

Options:

A) $f_{v} < f_{r}$ and $F_{v} > F_{r}$

B) $f_{v} < f_{R}$ and $F_{v} < F_{r}$

C) $f_{c} > f_{r}$ and $F_{v} > F_{r}$

D) $f_{v} > f_{r}$ and $F_{v} < F_{r}$

Show Answer

Answer:

Correct Answer: B

Solution:

According to lens makers formula $\frac{1}{f} = (μ - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}}) \Rightarrow \frac{1}{f} \propto (μ - 1)$

Since $μ_{R e d} < μ_{v i o l e t}$

$\Rightarrow f_{v} < f_{r}$ and $F_{v} < F_{r}$

Always keep in mind that whenever you are asked to compare (greater than or less than) u, v or f you must not apply sign conventions for comparison.

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Optics Question 641

Question: fv and fr are the focal lengths of a convex lens for violet and red light respectively and Fv and Fr are the focal lengths of a concave lens for violet and red light respectively, then

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Answer:

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Question: $f_{v}$ and $f_{r}$ are the focal lengths of a convex lens for violet and red light respectively and $F_{v}$ and $F_{r}$ are the focal lengths of a concave lens for violet and red light respectively, then