Find the Image of a Point Object at a Glass Sphere

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Homework Help Overview

The problem involves finding the final image of a point object placed in front of a glass sphere. The object is located at a distance of 2.5 cm from the sphere, which has a radius of 10 cm. The refractive index of the glass is given as 1.5.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the need to consider two interfaces of the glass sphere and how to calculate the image formed by the first surface, which then serves as the object for the second surface. Some participants express confusion regarding their calculations and the application of the relevant formula.

Discussion Status

There are multiple attempts to solve the problem, with some participants providing calculations and others questioning the clarity of the problem statement. Guidance has been offered regarding the need to clarify the setup, particularly distinguishing between a glass sphere and a mirror.

Contextual Notes

Some participants note discrepancies in their calculations and express uncertainty about the values used, particularly the object distance and the refractive indices. There is an emphasis on ensuring the problem is correctly formulated to avoid confusion.

pardesi
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Homework Statement


An object is kept at a distance d=2.5cm from a Glass sphere of radii R=10 cm .Find the final image of the point object?

[tex]\mu =1.5[/tex]

Homework Equations


[tex]\frac{\mu_{2}}{v}-\frac{\mu_{1}}{u}=\frac{\mu_{2}-\mu_{1}}{R}[/tex]

The Attempt at a Solution


it is a simple question where we have two interfaces and we have to calculate the image due to 1st surface which acts as object for second and then the final image.
But i am not getting the answer
 
Last edited:
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Show your calculations. What is your answer? What are the values of refractive indices
 
the answer is 15cm in front of mirror
attempt being
for the first case object distance is -2.5cm and R.I is 1.5 plugging in the formulae i get
the image distance is v=-30/7
so this ats as image for 2nd surface and bject distance being u=-170/7=-30/7-20

again putiing in the values gives v=-85 cm which is far from the answer i don't get what i did wrong
 
pardesi said:
An object is kept at a distance d=2.5cm from a sphere of radii R=10 cm .Find the final image of the point object?

The Attempt at a Solution


it is a simple question where we have two interfaces and we have to calculate the image due to 1st surface which acts as object for second and then the final image.
But i am not getting the answer

The problem, as stated in the first para, presumably talks about a mirror. The attempt at solution talks about interfaces and RIs. Would you formulate the problem clearly?
 
sorry it is a GLass SPhere
 

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