﻿ 位移法测量透镜焦距的最佳位置分析 Analysis of Optimal Position for Measuring Focal Length of Convex Lens by Displacement Method

Applied Physics
Vol. 09  No. 04 ( 2019 ), Article ID: 29676 , 6 pages
10.12677/APP.2019.94019

Analysis of Optimal Position for Measuring Focal Length of Convex Lens by Displacement Method

Ye Liu, Cunhai Liu, Kun Wang

Aeronautical Basic College, Naval Aviation University, Yantai Shandong

Received: Mar. 22nd, 2019; accepted: Apr. 5th, 2019; published: Apr. 12th, 2019

ABSTRACT

In this paper, the focal length of thin convex lens is measured by displacement method and the calculation method of focal length error is discussed. The measurement error caused by position judgment of clear image is discussed, and the influence of object distance on focal length measurement error of the lens is analyzed. The accurate range of focal length determination of thin convex lens is obtained.

Keywords:Convex Lens, Focal Length, Displacement Method, Error Analysis

1. 引言

2. 位移法测量薄透镜焦距

2.1. 基本原理

$f=\frac{{L}^{2}-{d}^{2}}{4L}$ (1)

Figure 1. Measuring principle diagram of convex lens by displacement method

2.2. 测量方法

Figure 2. Experimental device for focal length of convex lens measured by displacement method

$\frac{1}{{u}_{1}}+\frac{1}{{v}_{1}}=\frac{1}{f}$ (2)

(3)

${u}_{1}+{u}_{2}=L$ ${u}_{2}-{u}_{1}=d$

${v}_{1}+{v}_{2}=L$ ${v}_{2}-{v}_{1}=d$

2.3. 测量数据及数据处理

Table 1. List of data for lens focal length measurement

Figure 3. Relationship between lens focal length and object and screen distance

Table 2. List of relative error and material distance data

Figure 4. Relation between relative error and object and screen distance

3. 实验结果分析

4. 结论

Analysis of Optimal Position for Measuring Focal Length of Convex Lens by Displacement Method[J]. 应用物理, 2019, 09(04): 157-162. https://doi.org/10.12677/APP.2019.94019

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