Explanation 1) Concept: When light waves encounter an edge or an obstacle of size comparable to the wavelength of the waves, those waves spread out and undergo interference and give diffraction pattern. And by using diffraction condition, one can find out wavelengths that pass through the slit. 2) Formula: i) Condition for diffraction maxima d s i n θ = m λ 3) Given: i) A grating has 1 d = 350 r u l i n g s / m m ii) This grating is illuminated at normal incidence by white light. iii) A spectrum is formed on a screen D = 30 cm from the grating. iv) Side length of square hole, 10.0 m m is cut on the screen. v) Inner edge of square hole from the central maximum is, 50.0 m m , and is parallel to it. 4) Calculations: a) d for given grating d = 1 350 m m = 0.00285 m m = 0.00285 × 10 6 n m By using diffraction condition, we get m = d s i n θ λ = 0.00285 × 10 6 n m × s i n θ λ We have t a n θ = 5.0 c m 30 c m = 0.1666 tan - 1 ⁡ 0

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

See similar textbooks

Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible ligh…

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

Chapter 36, Problem 53P

To determine

To find

a) the shortest wavelength of the light that passes through the hole.

b) the longest wavelength of the light that passes through the hole.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 36, Problem 52P

Chapter 36, Problem 54P

Students have asked these similar questions

A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.313 for the red end of the spectrum and 1.349 for the violet end and an apex angle of 71.8 degrees. If the ray has an angle of incidence of 60.3degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum within the prism? Measure this in degrees to 3 decimal places.

A light ray of wavelength 589 nm (produced by a sodium m lamp) travelling through air is incident a smooth, flat slab of crystal (n=2) at an angle 1= 30 degrees to the normal. Calculate the critical angle of crystal if light travels from slab of crystal to air.

A parallel beam of light containing orange (610 nm) and violet (410 nm) wavelengths goes from fused quartz to water, striking the surface between them at a 60.0º incident angle. What is the angle between the two colors in water?

Chapter 36 Solutions

Fundamentals of Physics Extended

Ch. 36 - You are conducting a single-slit diffraction...Ch. 36 - In a single-slit diffraction experiment, the top...Ch. 36 - For three experiments, Fig. 36-30 gives the...Ch. 36 - For three experiments, Fig. 36-31 gives versus...Ch. 36 - Figure 36-32 shows four choices for the...Ch. 36 - Prob. 6Q Ch. 36 - At night many people see rings called entoptic...Ch. 36 - a For a given diffraction grating, does the...Ch. 36 - Figure 36-33 shows a red line and a green line of...Ch. 36 - For the situation of Question 9 and Fig. 36-33, if...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

To find a) the shortest wavelength of the light that passes through the hole. b) the longest wavelength of the light that passes through the hole.

Solution Summary: The author explains that light waves encounter an edge or an obstacle of size comparable to the wavelength of the waves and undergo interference and give diftion pattern.

Concept explainers

To find a) the shortest wavelength of the light that passes through the hole. b) the longest wavelength of the light that passes through the hole.

Want to see the full answer?

Chapter 36 Solutions

To find

a) the shortest wavelength of the light that passes through the hole.

b) the longest wavelength of the light that passes through the hole.