Find the Image of a Point Object at a Glass Sphere

AI Thread Summary
To find the final image of a point object placed 2.5 cm from a glass sphere with a radius of 10 cm and a refractive index of 1.5, the discussion highlights the need to apply the lens maker's formula for two interfaces. The initial calculations yield an image distance of -30/7 cm from the first surface, which then serves as the object for the second surface. However, the subsequent calculations lead to an image distance of -85 cm, which is inconsistent with the expected result of 15 cm in front of the mirror. Participants emphasize the importance of clearly defining the problem as involving a glass sphere rather than a mirror. Accurate application of the refractive index and object distances is crucial for obtaining the correct final image position.
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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?

\mu =1.5

Homework Equations


\frac{\mu_{2}}{v}-\frac{\mu_{1}}{u}=\frac{\mu_{2}-\mu_{1}}{R}

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
 
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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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