Concept explainers
(a)
The distance from the slit to the viewing screen.
(a)
Answer to Problem 68PQ
The distance from the slit to the viewing screen is
Explanation of Solution
Write the expression for the minima of single slit diffraction pattern to find
Here,
Substitute
Write the equation for the width of the central maximum which is surrounded by the first minima.
Here,
For small angle of
Substitute
Conclusion:
Substitute
Therefore, the distance from the slit to the viewing screen is
(b)
The width of the first side maximum on the viewing screen.
(b)
Answer to Problem 68PQ
The width of the first side maximum on the viewing screen is
Explanation of Solution
Substitute
Write the equation for the distance from the center of the central maximum to the second minima.
For small angle of
Substitute
Substitute
Write
Conclusion:
Substitute
Therefore, the width of the first side maximum on the viewing screen is
Want to see more full solutions like this?
Chapter 35 Solutions
Physics for Scientist and Engineers (Foundations And Connection; Volume I and II) LLF edition
- Red light of wavelength of 700 nm falls on a double slit separated by 400 nm. (a) At what angle is the first-order maximum in the diffraction pattern? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forwardIntense white light is incident on a diffraction grating that has 600. lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (b) What is the angular separation between the violet edge (400. nm) and the red edge (700. nm) of the first-order spectrum produced by the grating?arrow_forward(a) What is the minimum width of a single slit (in multiples of ) that will produce a first minimum for a wavelength ? (b) What is its minimum width if it produces 50 minima? (c) 1000 minima?arrow_forward
- (a) At what angle is the first minimum for 550-nm light falling on a single slit of width 1.00 m ? (b) Will there be a second minimum?arrow_forwardMonochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?arrow_forwardA Two slits are separated by distance d and each has width w. If d = 2w, how many bright fringes are within the central maximum of the diffraction pattern?arrow_forward
- (a) At what angle is the first minimum for 550-nm light falling on a single slit of width 1.00 m? (b) Will there be a second minimum?arrow_forwardA student shines a red laser pointer with a wavelength of 675 nm through a double-slit apparatus in which the two slits are separated by 75.0 m. He observes the diffraction pattern on the wall 1.50 m away. What is the distance between the central bright fringe and either of the neighboring bright fringes on the wall?arrow_forward(a) Calculate the angle at which a 2.00-m-wide slit produces its first minimum for 410-nm violet light. (b) Where is the first minimum for 700-nm red light?arrow_forward
- (a) What is the smallest separation between two slits that will produce a second-order maximum for any visible light? (b) For all visible light?arrow_forward(a) How wide is a single slit that produces its first minimum for 633-nm light at an angle of 28.0°? (b) At what angle will the second minimum be?arrow_forwardIn Figure P27.7 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) = 0.500 and (b) y = 5.00 mm. (c) What is the value of for which the phase difference is 0.333 rad? (d) What is the value of for which the path difference is /4?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning