3.2 Light

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Question 27

A physics class is investigating the magnification produced by a converging lens. An illuminated object of height $cmh_0 = 3.0\text{ cm}$ is set up. The distance $u$ between the illuminated object and the lens is varied, and for each distance, the screen is adjusted until a sharp image of height $hIh_{\text{I}}$ is formed. Measurements are recorded in Table 3.1. Table 3.1: | $\text{cm}$ | $hI/cmh_{\text{I}} / \text{cm}$ | $\frac{h_0}{h_{\text{I}}}$ | | :---: | :---: | :---: | | $40.0$ | $3.0$ | | | $45.0$ | $2.4$ | | | $50.0$ | $2.0$ | | | $55.0$ | $1.7$ | | | $60.0$ | $1.5$ | | | $65.0$ | $1.3$ | | | $70.0$ | $1.2$ | |

Calculate the values of $S$ for each of the distances $u$ , rounding them to one decimal place, to complete Table 3.1.

[2]

A graph of $S$ (on the $y$ -axis) vs $\text{cm}$ (on the $x$ -axis) is plotted, yielding a straight line of best fit.

Determine the gradient $G$ of this line using the two extreme points of the data: $(40.0, 1.0)$ and $(70.0, 2.5)$ .

[2]

Calculate the focal length $f$ of the lens, where:

\frac{1}{G}

[2]

3.2 Light

Question 27

Calculate the values of $S$ for each of the distances $u$ , rounding them to one decimal place, to complete Table 3.1.

[2]

A graph of $S$ (on the $y$ -axis) vs $\text{cm}$ (on the $x$ -axis) is plotted, yielding a straight line of best fit.

Determine the gradient $G$ of this line using the two extreme points of the data: $(40.0, 1.0)$ and $(70.0, 2.5)$ .

[2]

Calculate the focal length $f$ of the lens, where:

\frac{1}{G}

[2]

3.2 Light

Question 27

Markscheme

3.2 Light

Question 27

Markscheme

3.2 Light

Question 27

3.2 Light Questions

3.2 Light

Question 27

3.2 Light Questions