# Combination of lenses.. can you solve it?

Let us solve it using the following lens maker formula

Where

Calculation of focal length of first lens

Here

From equation [1]

Calculation of focal length of second plano concave lens

Here

From equation [1]

If

a) So this expression represents the equivalent focal length of the combination.

b) To obtain the condition when the combination acts as diverging lens in air,we can say that the focus of the combination will be virtual one and by sign convention it will be negative.

Hence

c)From equation [2] we get

This equation suggests that for the given condition

the

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Sure, I'd be happy to help with solving problems related to combinations of lenses. Could you please provide the specific problem you'd like assistance with?

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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