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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 34 / Problem 86P

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Solved: A transparent rod 30.0 cm long is cut flat at one

Chapter 34, Problem 86P

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QUESTION:

Problem 86P

A transparent rod 30.0 cm long is cut flat at one end and rounded to a hemispherical surface of radius 10.0 cm at the other end. A small object is embedded within the rod along its axis and halfway between its ends, 15.0 cm from the flat end and 15.0 cm from the vertex of the curved end. When viewed from the fiat end of the rod, the apparent depth of the object is 9.50 cm from the flat end. What is its apparent depth when viewed from the curved end?

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QUESTION:

Problem 86P

A transparent rod 30.0 cm long is cut flat at one end and rounded to a hemispherical surface of radius 10.0 cm at the other end. A small object is embedded within the rod along its axis and halfway between its ends, 15.0 cm from the flat end and 15.0 cm from the vertex of the curved end. When viewed from the fiat end of the rod, the apparent depth of the object is 9.50 cm from the flat end. What is its apparent depth when viewed from the curved end?

ANSWER:

Solution 86P

Step 1 of 2

Consider the lens maker formula to calculate the refractive index of the rod.

Here, is the refractive index of air, is the refractive index of rod, is the image distance, is the object distance and R is the radius of the spherical surface.

Substitute, 1 for , 9.5 cm for v, 15 cm for u and for R.

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