Question 23M.3.HL.TZ2.13
| Date | May 2023 | Marks available | [Maximum mark: 9] | Reference code | 23M.3.HL.TZ2.13 |
| Level | HL | Paper | 3 | Time zone | TZ2 |
| Command term | Calculate, Describe, Determine, Show that, State | Question number | 13 | Adapted from | N/A |
The eye of an observer has a near point of 25 cm. A pencil is placed at the near point. A convex lens of focal length 8 cm is then placed between the pencil and the observer as shown. The pencil is positioned at the focal point of the lens.
Determine the angular magnification of the lens when the image of the pencil is viewed at infinity.
[1]
M = « =» 3.1 ✓
A student increases the magnification of the pencil by using two 8 cm focal length convex lenses placed 25 cm apart. The pencil is placed 14 cm from one of the lenses.
Show that the magnitude of the magnification of the pencil produced by the lens closest to the pencil is approximately 1.3.
[2]
= + OR v = 18.7 ✓
M = OR M = 1.33 OR M = 1.34 ✓
Do not allow ECF for wrong value for v
Calculate the total magnification observed by the student using the two lenses as shown.
[2]
=
OR
v = −30.4 ✓
m = «m1 × m2 = 1.33 × = 1.33 × 4.8 =» 6.4 ✓
Allow ECF from MP1
Allow ECF from b(i)
The two 8 cm focal length convex lenses are now used to construct a telescope in normal adjustment. The diameter of the lenses is much greater than the diameter of the pupil of the eye. State, compared with the naked eye,
one advantage of using this telescope for astronomical observations.
[1]
better resolution «than the eye» ✓
Allow reference to brighter, sharper or clearer image.
one disadvantage of using this telescope for astronomical observations.
[1]
no magnification OR m = 1 ✓
Describe how international collaboration can improve the quality of the image of radio array telescopes.
[2]
international means base line can be across countries/continents ✓
greater distances increase the effective diameter of the dish ✓
great diameter improves resolution ✓
OWTTE