Explanation The obstacle is moved towards right direction which increases its distance from the source and detector. This increase in distance between the waves from the source results in change in path difference. Consider the above figure for better explanation. Write the expression for initial path through obstacle. p i = 2 A B − A D (I) Here, p i is equal to initial path, A B is the distance between the source and obstacle and A D is the distance between source and detector. Write the expression for distance between A and B . A B = ( l 2 ) 2 + d 2 Here, l is the distance between the source and detector and d is the distance of obstacle from midpoint of distance between source and detector. Substitute ( l 2 ) 2 + d 2 for A B and l for A D in equation (I). p i = 2 ( l 2 ) 2 + d 2 − l Write the expression for final path difference. p f = 2 A C − A D (II) Here, p f is the final path difference, A C is the new distance between source and obstacle. Write the expression for the distance between source and new position of obstacle. A C = ( l 2 ) 2 + ( d + x ) 2 Here, x is the distance obstacle is moved rightwards. Substitute ( l 2 ) 2 + ( d + x ) 2 for A C and l for A D in equation (III). p f = 2 ( l 2 ) 2 + ( d + x ) 2 − l (III) Write the expression for net path difference. Δ p = p f − p i (IV) Here, Δ p is the new path difference. Substitute 2 ( l 2 ) 2 + ( d + x ) 2 − l for p f , 2 ( l 2 ) 2 + d 2 − l for p i and λ 2 for Δ p in equation (IV)

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ISBN: 9780134819884

Author: GIANCOLI

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Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

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Chapter 16, Problem 106GP

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How far the obstacle should be moved to obtain the phase difference of λ2.

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Chapter 16, Problem 105GP

Chapter 16, Problem 107GP

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Chapter 16 Solutions

PHYSICS F./SCI... W/MOD V.II W/KIT

Ch. 16.1 - Prob. 1AE Ch. 16.3 - If an increase of 3 dB means twice as intense,...Ch. 16.3 - Trumpet players. A trumpeter plays at a sound...Ch. 16.4 - Two strings have the same length and tension, but...Ch. 16.7 - Prob. 1GE Ch. 16.7 - How fast would a source have to approach an...Ch. 16 - What is the evidence that sound travels as a wave?Ch. 16 - What is the evidence that sound is a form of...Ch. 16 - Children sometimes play with a homemade telephone...Ch. 16 - When a sound wave passes from air into water, do...

Ch. 16 - What evidence can you give that the speed of sound...Ch. 16 - The voice of a person who has inhaled helium...Ch. 16 - What is the main reason the speed of sound in...Ch. 16 - Two tuning forks oscillate with the same...Ch. 16 - How will the air temperature in a room affect the...Ch. 16 - Explain how a lube might be used as a filler to...Ch. 16 - Prob. 11Q Ch. 16 - A noisy truck approaches you from behind a...Ch. 16 - Standing waves can he said to be due to...Ch. 16 - In Fig. 16-15, if the frequency of the speakers is...Ch. 16 - Traditional methods of protecting the hearing of...Ch. 16 - Consider the two waves shown in Fig. 1630. 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How far the obstacle should be moved to obtain the phase difference of λ 2 .

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How far the obstacle should be moved to obtain the phase difference of λ2.

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Chapter 16 Solutions