Question 1

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.
v 
-Which one of the following phenomena would be observed if the distance between the slits is increased?

Accepted Answer

E

Question 2

Light of wavelength 530 nm is incident on two slits that are spaced 1.0 mm apart. How far from the slits should the screen be placed so that the distance between the m = 0 and m = 1 bright fringes is 1.0 cm?

Accepted Answer

D

Question 3

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.
v 
-Which one of the following phenomena would be observed if the wavelength of light were increased?

Accepted Answer

Increasing the wavelength of light increases the angular separation between bright fringes in interference patterns, as described by the equation for fringe spacing in double-slit interference.

Question 4

Two slits separated by 2.00 × 10^-⁵m are illuminated by light of wavelength 625 nm. If the screen is 6.00 m from the slits, what is the distance between the m = 0 and m = 1 bright fringes?

Accepted Answer

The distance between the m = 0 and m = 1 bright fringes is given by:$$d = \frac{\lambda D}{d}$$where:d is the distance between the slitsλ is the wavelength of lightD is the distance between the slits and the screenPlugging in the given values, we get:$$d = \frac{(625 	imes 10^{-9} 	ext{ m})(6.00 	ext{ m})}{2.00 	imes 10^{-5} 	ext{ m}} = 18.8 	ext{ cm}$$

Question 5

Two identical light waves, A and B, are emitted from different sources and meet at a point P. The distance from the source of A to the point P is L_A; and the source of B is a distance L_B from P. Which one of the following statements is necessarily true concerning the interference of the two waves?

Accepted Answer

The interference between two waves depends on the phase difference between them. If the waves are in phase, they interfere constructively; if they are out of phase, they interfere destructively. The phase difference between two waves is determined by the path difference, which is the difference in distance traveled by the waves from their sources to the point of interference. If the path difference is an integer multiple of the wavelength, the waves are in phase, and they interfere constructively. If the path difference is an odd multiple of half the wavelength, the waves are out of phase, and they interfere destructively. In this case, the two waves are identical, so their amplitudes are the same. The only difference between them is the path they travel from their sources to the point of interference, which is given by the distances L_A and L_B. If these distances are equal, the path difference is zero, and the waves are in phase, so they interfere constructively. If the distances differ by an even multiple of the wavelength, the path difference is an integer multiple of the wavelength, and the waves are in phase, so they interfere constructively. If the distances differ by an odd multiple of half the wavelength, the path difference is an odd multiple of the wavelength, and the waves are out of phase, so they interfere destructively. Therefore, choice B is necessarily true.

Question 6

The figure shows the interference pattern produced when light of wavelength 500 nm is incident on two slits. Fringe A is equally distant from each slit. By what distance is fringe B closer to one slit than the other?

Accepted Answer

The answer of The figure shows the interference pattern produced...

Question 7

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.
v 
-Which fringe is the third order maximum?

Accepted Answer

The answer of The figure shows the interference pattern obtained...

Question 8

In a Young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the fringes to be more closely spaced?

Accepted Answer

Using blue light, which has a shorter wavelength than green light, will result in more closely spaced fringes.

Question 9

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.
v 
-Which fringe results from a phase difference of 4$\pi$?

Accepted Answer

The answer of The figure shows the interference pattern obtained...

Question 10

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.
v 
-Which fringe is 300 nm closer to one slit than to the other?

Accepted Answer

The path length difference for the bright fringe is an integer multiple of the wavelength. For the fringe that is 300 nm closer to one slit than to the other, the path length difference is 300 nm. This corresponds to a bright fringe of order m = 1, since the path length difference for the mth bright fringe is mλ.

Question 11

Which one of the following statements best explains why interference patterns are not usually observed for light from two ordinary light bulbs?

Accepted Answer

Ordinary light bulbs emit light that is not coherent, meaning that the waves do not maintain a constant phase relationship with each other. Without coherence, interference patterns cannot be formed.

Question 12

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.
v 
-Which fringe is the same distance from both slits?

Accepted Answer

The answer of The figure shows the interference pattern obtained...

Question 13

Light is incident on two slits that are separated by 0.2 mm. The figure shows the resulting interference pattern observed on a screen 1.0 m from the slits. Determine the wavelength of light used in this experiment.

Accepted Answer

Using the formula for the position of minima in a double-slit experiment, we have:

d*sin(theta) = m*lambda

where d is the distance between the two slits (0.2 mm), theta is the angle between the incident wave and the line connecting the midpoint between the two slits and the point on the screen (we can assume small angles and use tan(theta) = y/L, where y is the distance from the central maximum to the m-th minimum on the screen, and L is the distance from the slits to the screen), m is the order of the minimum, and lambda is the wavelength of the light.

For the first minimum (m=1), we have:

0.2*10^(-3)*sin(theta) = lambda

tan(theta) = y/L = 0.28/1.0 = 0.28

theta = arctan(0.28) = 15.6 degrees

sin(theta) = 0.27

lambda = 0.2*10^(-3)/0.27 = 740 nm

Therefore, the closest choice is D) 500 nm.

Question 14

In a Young's double slit experiment, the separation between the slits is 1.20 × 10^-⁴ m; and the screen is located 3.50 m from the slits. The distance between the central bright fringe and the second-order bright fringe is 0.0375 m. What is the wavelength of the light used in this experiment?

Accepted Answer

The answer of In a Young's double slit experiment, the...

Question 15

A double slit is illuminated with monochromatic light of wavelength 6.11 × 10²nm. The m = 0 and m = 1 bright fringes are separated by 1.8 cm on a screen which is located 3.5 m from the slits. What is the separation between the slits?

Accepted Answer

The answer of A double slit is illuminated with monochromatic...

Question 16

What does one observe on the screen in a Young's experiment if white light illuminates the double slit instead of light of a single wavelength?

Accepted Answer

When white light illuminates the double slit, each color component with a different wavelength undergoes interference differently. So, different colors will interfere constructively and destructively at different positions on the screen, resulting in a series of colored and dark fringes on each side of the center. The central fringe will still appear white as it is formed by the overlapping of all colors.

Question 17

In two separate double slit experiments, an interference pattern is observed on a screen. In the first experiment, violet light ($\lambda$= 708 nm) is used and a second-order bright fringe occurs at the same location as a third-order dark fringe in the second experiment. Determine the wavelength of the light used in the second experiment.

Accepted Answer

The answer of In two separate double slit experiments, an...

Question 18

Complete the following sentence: The term coherence relates to

Accepted Answer

Coherence refers to the relationship between the phase of two waves. It describes how correlated the waves are and how they interfere with each other.

Question 19

Which one of the following statements provides the most convincing evidence that visible light is a form of electromagnetic radiation?

Accepted Answer

Formation of double-slit interference pattern is a clear indication of the wave nature of light and electromagnetic radiation are waves. Therefore, this provides the most convincing evidence that visible light is a form of electromagnetic radiation.

Question 20

Two slits are separated by 2.00 × 10^-⁵ m. They are illuminated by light of wavelength 5.60 × 10^-⁷m. If the distance from the slits to the screen is 6.00 m, what is the separation between the central bright fringe and the third dark fringe?

Accepted Answer

The separation between the central bright fringe and the third dark fringe is given by:$$d\sin	heta=3\lambda$$where d is the separation between the slits, $	heta$ is the angle of the third dark fringe, and $\lambda$ is the wavelength of the light.We can use the small angle approximation to get:$$	an	heta=\frac{y}{L}$$where y is the distance from the central bright fringe to the third dark fringe and L is the distance from the slits to the screen.Substituting this into the first equation, we get:$$d\frac{y}{L}=3\lambda$$Solving for y, we get:$$y=\frac{3\lambda L}{d}$$Plugging in the given values, we get:$$y=\frac{3(5.60	imes10^{-7}	ext{ m})(6.00	ext{ m})}{2.00	imes10^{-5}	ext{ m}}=0.504	ext{ m}$$Therefore, the separation between the central bright fringe and the third dark fringe is 0.504 m.

Quiz 27: Interference and the Wave Nature of Light

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm. v -Which one of the following phenomena would be observed if the distance between the slits is increased?

Light of wavelength 530 nm is incident on two slits that are spaced 1.0 mm apart. How far from the slits should the screen be placed so that the distance between the m = 0 and m = 1 bright fringes is 1.0 cm?

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm. v -Which one of the following phenomena would be observed if the wavelength of light were increased?

Two slits separated by 2.00 × 10-5 m are illuminated by light of wavelength 625 nm. If the screen is 6.00 m from the slits, what is the distance between the m = 0 and m = 1 bright fringes?

Two identical light waves, A and B, are emitted from different sources and meet at a point P. The distance from the source of A to the point P is LA; and the source of B is a distance LB from P. Which one of the following statements is necessarily true concerning the interference of the two waves?

The figure shows the interference pattern produced when light of wavelength 500 nm is incident on two slits. Fringe A is equally distant from each slit. By what distance is fringe B closer to one slit than the other?

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm. v -Which fringe is the third order maximum?

In a Young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the fringes to be more closely spaced?

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm. v -Which fringe results from a phase difference of 4 π\piπ ?

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm. v -Which fringe is 300 nm closer to one slit than to the other?

Which one of the following statements best explains why interference patterns are not usually observed for light from two ordinary light bulbs?

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm. v -Which fringe is the same distance from both slits?

Light is incident on two slits that are separated by 0.2 mm. The figure shows the resulting interference pattern observed on a screen 1.0 m from the slits. Determine the wavelength of light used in this experiment.

In a Young's double slit experiment, the separation between the slits is 1.20 × 10-4 m; and the screen is located 3.50 m from the slits. The distance between the central bright fringe and the second-order bright fringe is 0.0375 m. What is the wavelength of the light used in this experiment?

A double slit is illuminated with monochromatic light of wavelength 6.11 × 102 nm. The m = 0 and m = 1 bright fringes are separated by 1.8 cm on a screen which is located 3.5 m from the slits. What is the separation between the slits?

What does one observe on the screen in a Young's experiment if white light illuminates the double slit instead of light of a single wavelength?

Complete the following sentence: The term coherence relates to

Which one of the following statements provides the most convincing evidence that visible light is a form of electromagnetic radiation?

Two slits are separated by 2.00 × 10-5 m. They are illuminated by light of wavelength 5.60 × 10-7 m. If the distance from the slits to the screen is 6.00 m, what is the separation between the central bright fringe and the third dark fringe?

Two slits separated by 2.00 × 10^-⁵m are illuminated by light of wavelength 625 nm. If the screen is 6.00 m from the slits, what is the distance between the m = 0 and m = 1 bright fringes?

In a Young's double slit experiment, the separation between the slits is 1.20 × 10^-⁴ m; and the screen is located 3.50 m from the slits. The distance between the central bright fringe and the second-order bright fringe is 0.0375 m. What is the wavelength of the light used in this experiment?

A double slit is illuminated with monochromatic light of wavelength 6.11 × 10²nm. The m = 0 and m = 1 bright fringes are separated by 1.8 cm on a screen which is located 3.5 m from the slits. What is the separation between the slits?

Two slits are separated by 2.00 × 10^-⁵ m. They are illuminated by light of wavelength 5.60 × 10^-⁷m. If the distance from the slits to the screen is 6.00 m, what is the separation between the central bright fringe and the third dark fringe?