How far from the eyepiece is the image formed by the objective?

  • Thread starter Thread starter sona1177
  • Start date Start date
  • Tags Tags
    Image
AI Thread Summary
The discussion revolves around calculations related to a microscope's eyepiece and objective lens. The eyepiece has a focal length of 2.50 cm and the objective 4.60 cm, producing a virtual image at the viewer's near point of 25.0 cm. The distance from the eyepiece to the image formed by the objective is correctly calculated as 2.27 cm, while the distance from the objective lens to the object is 6.10 cm. However, the angular magnification calculation of -33.3 is identified as incorrect, prompting the user to seek clarification on their calculations. The user expresses uncertainty about where the mistake occurred in their approach.
sona1177
Messages
171
Reaction score
1

Homework Statement


A microscope has an eyepiece of focal length 2.50 cm and an objective of focal length 4.60 cm. The eyepiece produces a virtual image at the viewer's near point (25.0 cm from the eye).

a) How far from the eyepiece is the image formed by the objective? ANswer: 2.27 cm -This is correct :)
b) If the lenses are 21.0 cm apart, what is the distance from the objective lens to the object being viewed ANswer: 6.10 cm. This is correct :)
c) What is the angular magnification? Answer: -33.3 This is WRONG :(

Here is what I did:
L=(Distance between lens) - (objective focal length) - (eye piece focal length)

so,

L= 21.0-4.60 - 2.50
L=13.9

I know that M=-LN/(objective focal length * object distance from eye piece)
So plugging in L=13.9
N=25
Fo=4.60
pe=2.27 i get -33.3 and not -33.8

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
I have stated my attempt at a solution above. I know that -33.3 is wrong, so I must have made a mistake in my calculation but I'm not sure where.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top