3.2.3a Converging and diverging lenses

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Question 13

A student investigates the magnification of an image produced by a thin converging lens.

The height of the illuminated object, $h_0$ , is $cm2.4\text{ cm}$ . At a certain distance, the magnification $m$ of the image is $3.00$ . Calculate the height of the image, $hIh_{\text{I}}$ , formed on the screen.

[2]

The student records the object distance $u$ and the image distance $v$ for various positions. Calculate the magnification $m$ for each pair of readings in the table below, using the equation:

\frac{v}{u}

Give your answers to 2 decimal places.

$\text{cm}$	$\text{cm}$	$m$
$16.0$	$48.0$
$18.0$	$36.0$
$30.0$	$20.0$
$36.0$	$18.0$

[2]

The relationship between $u$ and $m$ is given by the formula:

\left(1 + \frac{1}{m}\right)

where $f$ is the focal length of the lens. Use this relationship or your data to determine the value of the object distance $u_1$ when the magnification $m = 1.00$ .

[2]

Calculate the focal length $f$ of the lens using your value of $u_1$ from Part (c) and the equation:

\frac{u_1}{2}

[1]

State two experimental precautions the student should take in order to obtain accurate, clear readings of $u$ and $v$ .

[2]

3.2.3a Converging and diverging lenses

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Question 13

A student investigates the magnification of an image produced by a thin converging lens.

[2]

The student records the object distance $u$ and the image distance $v$ for various positions. Calculate the magnification $m$ for each pair of readings in the table below, using the equation:

\frac{v}{u}

Give your answers to 2 decimal places.

$\text{cm}$	$\text{cm}$	$m$
$16.0$	$48.0$
$18.0$	$36.0$
$30.0$	$20.0$
$36.0$	$18.0$

[2]

The relationship between $u$ and $m$ is given by the formula:

\left(1 + \frac{1}{m}\right)

where $f$ is the focal length of the lens. Use this relationship or your data to determine the value of the object distance $u_1$ when the magnification $m = 1.00$ .

[2]

Calculate the focal length $f$ of the lens using your value of $u_1$ from Part (c) and the equation:

\frac{u_1}{2}

[1]

State two experimental precautions the student should take in order to obtain accurate, clear readings of $u$ and $v$ .

[2]

3.2.3a Converging and diverging lenses

Question 13

Markscheme

3.2.3a Converging and diverging lenses

Question 13

Markscheme

3.2.3a Converging and diverging lenses

Question 13

3.2.3a Converging and diverging lenses Questions

3.2.3a Converging and diverging lenses

Question 13

3.2.3a Converging and diverging lenses Questions