Question

if the power of two lens are in the ratio of 4:1.what would be the ratio of focal length​

Answer 1

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Answer:

1:4

Explanation:

Ratio of powers = 4 : 1

Power of L₁ = 4x

Power of L₂ = 1x

We know that power is the reciprocal of focal length.

∴ Focal length of L₁ = 1/4x

∴ Focal length of L₂ = 1/x

Ratio of focal lengths ;

➝ f₁ : f₂ = 1 : 4Ratio of powers = 4 : 1

Power of L₁ = 4x

Power of L₂ = 1x

We know that power is the reciprocal of focal length.

∴ Focal length of L₁ = 1/4x

∴ Focal length of L₂ = 1/x

Ratio of focal lengths ;

➝ f₁ : f₂ = 1 : 4