Date | May 2012 | Marks available | 4 | Reference code | 12M.3.SL.TZ1.17 |
Level | Standard level | Paper | Paper 3 | Time zone | Time zone 1 |
Command term | Define and Derive | Question number | 17 | Adapted from | N/A |
Question
This question is about a magnifying glass.
(i) Define the angular magnification of a magnifying glass.
(ii) Derive an equation for the angular magnification of a magnifying glass with the image at infinity.
An object is positioned 8.00 cm from a magnifying glass of focal length 15.0 cm.
(i) Calculate the position of the image.
(ii) Calculate the linear magnification.
(iii) The image is upright and magnified. State a further property of the image.
Markscheme
(i) ratio of angle subtended by image at eye to angle subtended by object at the near point;
(ii) θo=ho25;
θi=hof;
M=θiθo=hof×25ho=25f;
Award [3] for use of symbol (e.g. D) to represent distance to near point (25 cm).
or
realizes object is at f;
obtains at least 1 correct angle as either h25 or hD or hf;
shows that M=Df or M=25f;
(i) (1f=1v+1u)
115=1v+18;
v=(−)17.1cm;
(ii) 2.14 or –2.14;
(iii) virtual;