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In Fig. 35-51a, the waves along rays 1 and 2 are initially

Chapter , Problem 86

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QUESTION:

In Fig. 35-51a, the waves along rays 1 and 2 are initially in phase, with the same wavelength l in air. Ray 2 goes through a material with length L and index of refraction n. The rays are then reflected by mirrors to a common point P on a screen. Suppose that we can vary n from n ! 1.0 to n ! 2.5. Suppose also that, from n ! 1.0 to n ! ns ! 1.5, the intensity I of the light at point P varies with n as given in Fig. 35-51b.At what values of n greater than 1.4 is intensity I (a) maximum and (b) zero? (c) What multiple of l gives the phase difference between the rays at point P when n ! 2.0?

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QUESTION:

In Fig. 35-51a, the waves along rays 1 and 2 are initially in phase, with the same wavelength l in air. Ray 2 goes through a material with length L and index of refraction n. The rays are then reflected by mirrors to a common point P on a screen. Suppose that we can vary n from n ! 1.0 to n ! 2.5. Suppose also that, from n ! 1.0 to n ! ns ! 1.5, the intensity I of the light at point P varies with n as given in Fig. 35-51b.At what values of n greater than 1.4 is intensity I (a) maximum and (b) zero? (c) What multiple of l gives the phase difference between the rays at point P when n ! 2.0?

ANSWER:

Problem 86

In Fig. 35-51a, the waves along rays 1 and 2 are initially in phase, with the same wavelength l in air. Ray 2 goes through a material with length L and index of refraction n. The rays are then reflected by mirrors to a common point P on a screen. Suppose that we can vary n from n =1.0 to n = 2.5. Suppose also that, from n = 1.0 to n =  = 1.5, the intensity I of the light at point P varies with n as given in Fig. 35-51b.At what values of n greater than 1.4 is intensity I (a) maximum and (b) zero? (c) What multiple of  gives the phase difference between the rays at point P when n = 2.0?

                                                              Step by Step Solution

Step 1 of 3

In order to determine values of n greater than 1.4 is intensity I (a) maximum and (b) zero? (c) What multiple of l gives the phase difference between the rays at point P when n =2.0, we need to find the path length difference.

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