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Two lenses of power 2.5 D and 1.5 D are ...

Two lenses of power 2.5 D and 1.5 D are joined together. The power of the new lens formed is

A

`3/5D`

B

`5/3D`

C

4 D

D

1 D

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The correct Answer is:
To find the power of the new lens formed by joining two lenses with given powers, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Powers of the Lenses**: - Let \( P_1 = 2.5 \, D \) (power of the first lens) - Let \( P_2 = 1.5 \, D \) (power of the second lens) 2. **Use the Formula for Combined Power**: - The total power \( P \) of two lenses in combination is given by the formula: \[ P = P_1 + P_2 \] 3. **Substitute the Values**: - Substitute the values of \( P_1 \) and \( P_2 \) into the formula: \[ P = 2.5 \, D + 1.5 \, D \] 4. **Perform the Calculation**: - Add the powers together: \[ P = 4.0 \, D \] 5. **Conclusion**: - The power of the new lens formed by joining the two lenses is \( 4.0 \, D \). ### Final Answer: The power of the new lens formed is **4.0 Diopters**. ---

To find the power of the new lens formed by joining two lenses with given powers, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Powers of the Lenses**: - Let \( P_1 = 2.5 \, D \) (power of the first lens) - Let \( P_2 = 1.5 \, D \) (power of the second lens) ...
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