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Chapter 35: Q.7 (page 1016)

A diffraction-limited lens can focus light to a 10渭mdiameter spot on a screen. Do the following actions make the spot diameter larger, make it smaller, or leave it unchanged?

A. Decreasing the wavelength of the light.

B. Decreasing the lens diameter.

C. Decreasing the lens focal length.

D. Decreasing the lens-to-screen distance.

Short Answer

Expert verified

(A) Decrease

(B) Increase

(C) Decrease

(D) Increase

Step by step solution

01

Part A).Step.1 Given Information 

Decreasing the wavelength of the light.

02

Part A) Step 2.simplify  

since 蝇min=2.44位fD,hence from this dependence we have

Decreasing 位decreases蝇

03

Part b).step 1. Given statement

Decreasing the lens diameter

04

Part b).Step 2.simplify

we know that 蝇min鈮�2.44位fD

Therefore, Decreasing D increases蝇

05

Part C).Step 1.Given statement

Decreasing the lens focal length.

06

Part C) Step 2.simplify

we have, 蝇min鈮�2.44位fD

Therefore, Decreasing the focal length f will decreases 蝇

07

Part D) Step 1.Given Information 

Decreasing the lens-to-screen distance.

08

Part D) Step 2.simplify 

we know that 蝇min鈮�2.44位fD

Decreasing the lens-to-screen distance means the screen is farther from the focal plane. This mean spot will get larger.

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