Question 1

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)if the film is 108 nm thick?

Accepted Answer

The answer of What wavelength monochromatic source in the visible...

Question 2

Light of wavelength 684 nm shines on a soap bubble film (n = 1.46).For what soap film thickness,other than the minimum thickness,will constructive interference occur?

Accepted Answer

The answer of Light of wavelength 684 nm shines on...

Question 3

A silicon monoxide (n = 1.45)film of 101.7 nm thickness is used to coat a glass camera lens (n = 1.56).What wavelength of light in the visible region (390 to 710 nm)will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

Accepted Answer

The answer of A silicon monoxide (n = 1.45)film of...

Question 4

Light is reflecting off a wedge-shaped thin piece of glass producing bright and dark interference fringes.If a certain location has a bright fringe,a nearby point will have a dark fringe if the thickness of the glass increases by:

Accepted Answer

In thin film interference, the path difference between the two interfering rays should be equal to an odd multiple of half of the wavelength of the light. The path difference depends on the thickness of the wedge-shaped glass. As the thickness of the glass increases by 1/4 of a wavelength of the light, one ray will travel one extra half wavelength compared to the other ray, resulting in destructive interference, which produces a dark fringe. Therefore, Option B is the best choice.

Question 5

The center spot of Newton's rings is dark.This destructive interference occurs because:

Accepted Answer

When a beam of light is reflected from the top and bottom surfaces of the thin film, the waves interfere with each other. The two reflected waves change phase by 180 degrees because one of the waves reflects from a medium with a higher refractive index, while the other reflects from a medium with a lower refractive index. When the two waves interfere, there is a phase difference of 180 degrees, causing destructive interference at the center of the Newton's rings, resulting in a dark spot. This is known as reflected wave interference.

Question 6

In a Young's double-slit experiment,how many maxima occur between the 5^th order maxima?

Accepted Answer

According to the formula for finding the position of the nth maximum in a double-slit experiment, d sinθ = nλ, the distance between the slits (d) and the wavelength of the light (λ) are constants. Therefore, the position of maxima depends only on the angle (θ). Using trigonometry, we can find that the angle of the 5^th order maxima is approximately 26.5 degrees. Similarly, the angle of the next order maxima (6th) is approximately 30 degrees. We can see that the angles increase by approximately 3.5 degrees between adjacent maxima. Therefore, between the 5th and 6th order maxima, there are approximately 9 maxima (including the 5th order maxima itself). Hence, the answer is option B.

Question 7

A beam of light of wavelength 633 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

Accepted Answer

For constructive interference and maximum intensity, the path difference between the two beams of light coming from the two plates must be an integer multiple of the wavelength of the light.

In this case, the path difference is given by

2*d*cosθ,

where d is the air gap separation between the plates and θ is the angle between the incident beam and the normal to the plates. Since the incident beam is along the normal, θ = 0 and we get

path difference = 2*d.

For maximum intensity, this path difference must be an integer multiple of the wavelength, i.e.,

2*d = n*λ,

where n is an integer.

Substituting the values, we get

d = n*λ/2 = (1/2)*633 nm = 316.5 nm ≈ 317 nm.

Therefore, the transmitted beam will be of maximum intensity when the air gap separation between the plates is approximately 317 nm.

Hence, the correct choice is C.

Question 8

What is the minimum thickness of a glycerin film (n = 1.47)on which light of wavelength 688 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air.

Accepted Answer

Constructive interference occurs when the optical path difference is an integer multiple of the wavelength. For a thin film with one phase reversal, the minimum thickness for constructive interference is given by t = λ / (2n), where λ is the wavelength in the medium. Here, t = 688 nm / (2 * 1.47) = 234 nm / 2 = 117 nm.

Question 9

The dark spot observed in the center of a Newton's rings pattern is attributed to which of the following?

Accepted Answer

The dark spot observed in the center of a Newton's rings pattern is attributed to the phase shift of light when it is reflected from the top of the convex surface of the lens and the bottom of the flat glass plate. This causes the light waves to interfere destructively resulting in a dark spot at the center of the pattern. Polarization of light does not cause the dark spot in the center of the pattern.

Question 10

Two flat glass plates are in contact along one end and are separated by a sheet of paper 5.0 × 10−⁶ m thick at the other end.The top plate is illuminated by a monochromatic light source of wavelength 399 nm.How many dark parallel bands will be evident across the top plate? (1 nm = 10−⁹ m)

Accepted Answer

The answer of Two flat glass plates are in contact...

Question 11

A silicon monoxide (n = 1.45)film of 288.9 nm thickness is used to coat a glass camera lens (n = 1.56).What wavelength of light in the visible region (390 to 710 nm)will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

Accepted Answer

To find the wavelength of light that is most efficiently transmitted, we need to use the formula:

mλ = 2nt + λ/2

where m is an integer (in this case we can assume m = 1 for the first transmission peak), λ is the wavelength of light, n is the refractive index of the lens (1.56), t is the thickness of the silicon monoxide film (288.9 nm), and we solve for λ.

Simplifying the equation gives:

λ = 2nt / (2n - 1)

Plugging in the values gives:

λ = 2(1.45)(288.9 nm) / (2(1.45) - 1) = 558.9 nm

Since this is in the visible region, the closest answer choice is C) 559 nm. Therefore, the correct answer is C.

Question 12

The blue tint of a coated camera lens is largely caused by what effects?

Accepted Answer

The blue tint of a coated camera lens is primarily due to interference effects. Thin-film interference occurs when light waves reflected off the top and bottom surfaces of the lens coating interfere with each other, enhancing some wavelengths of light and reducing others, which can give the lens a colorful appearance, often blue.

Question 13

A silicon monoxide thin film (n = 1.45)of thickness 73.8 nm is applied to a camera lens made of glass (n = 1.55).This will result in a destructive interference for reflected light of what wavelength?

Accepted Answer

The answer of A silicon monoxide thin film (n =...

Question 14

When light shines on a lens placed on a flat piece of glass,interference occurs which causes circular fringes called Newton's rings.The two beams that are interfering come:

Accepted Answer

The two beams that interfere in Newton's rings come from the bottom surface of the lens and the top surface of the piece of glass.

Question 15

When light passes from a material with a high index of refraction into material with a low index of refraction:

Accepted Answer

When light transitions from a material with a higher index of refraction to one with a lower index, some of the light is indeed reflected, but this reflection does not involve a phase change. This phenomenon is described by the principles of optics and the Fresnel equations, which detail how light behaves at the interface between two different media.

Question 16

Two flat glass plates are in contact along one end and are separated by a sheet of tissue paper at the other end.A monochromatic source of wavelength 509 nm illuminates the top plate.If 11 dark bands are counted across the top plate,what is the paper thickness? (1 nm = 10−⁹ m)

Accepted Answer

The thickness of the paper can be calculated using the formula for the thickness of a wedge-shaped film: $ t = \frac{m \lambda}{2} $, where $ m $ is the number of dark bands minus one (10 in this case), and $ \lambda $ is the wavelength of light. Thus, $ t = \frac{10 \times 509 \times 10^{-9}}{2} = 2.545 \times 10^{-6} $ m, which rounds to $ 2.5 \times 10^{-6} $ m.

Question 17

Laser light sent through a double slit produces an interference patter on a screen 3.00 m from the slits.If the tenth order maximum occurs at an angle of 41.9°,at what angle does the third order maximum occur?

Accepted Answer

The angle for the m-th order maximum in a double-slit interference pattern is given by the formula $d \sin \theta_m = m \lambda$. Since the tenth order maximum occurs at 41.9°, we can use this information to find the wavelength or slit separation ratio. For the third order maximum, we use the same ratio to find the angle, which results in 11.6°.

Question 18

Two closely spaced parallel glass plates are separated by 850 nm.What wavelength light source in the visible region (390 nm to 710 nm)will experience maximum transmission through the two plates?

Accepted Answer

The condition for maximum transmission (constructive interference) in thin film interference is when the path difference is an integer multiple of the wavelength. For two closely spaced plates, this occurs when the wavelength is twice the separation distance. Here, 2 * 850 nm = 1700 nm, which is not in the visible range. However, the closest visible wavelength that is a sub-multiple of 1700 nm is 425 nm (1700/4), which is option A.

Question 19

In a Young's experiment,the paths from the slits to a point on the screen differ in length,causing destructive interference at the point.Which of the following path difference would cause this destructive interference?

Accepted Answer

In Young's experiment, destructive interference occurs when the path difference between the two waves from the two slits is equal to an odd multiple of half the wavelength (λ/2). Therefore, 5λ/2 satisfies this condition (5λ/2 = 2.5λ + 2.5λ/2, which is an odd multiple of λ/2). Choices B and C do not satisfy this condition, and therefore, they would not cause destructive interference. Option D is invalid as none of the options satisfy the required conditions.

Question 20

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)if the film is 222 nm thick?

Accepted Answer

Constructive interference occurs when the path length difference between two waves is an integer multiple of the wavelength. In this case, the path length difference is twice the thickness of the soap film, or 444 nm. The wavelength of the light must therefore be an integer multiple of 444 nm. The only wavelength in the visible region that is an integer multiple of 444 nm is 432 nm.

Quiz 24: Wave Optics

What wavelength monochromatic source in the visible region (390 to 710 nm) can be used to constructively reflect off a soap film (n = 1.46) if the film is 108 nm thick?

Light of wavelength 684 nm shines on a soap bubble film (n = 1.46) .For what soap film thickness,other than the minimum thickness,will constructive interference occur?

A silicon monoxide (n = 1.45) film of 101.7 nm thickness is used to coat a glass camera lens (n = 1.56) .What wavelength of light in the visible region (390 to 710 nm) will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

Light is reflecting off a wedge-shaped thin piece of glass producing bright and dark interference fringes.If a certain location has a bright fringe,a nearby point will have a dark fringe if the thickness of the glass increases by:

The center spot of Newton's rings is dark.This destructive interference occurs because:

In a Young's double-slit experiment,how many maxima occur between the 5^th order maxima?

A beam of light of wavelength 633 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

What is the minimum thickness of a glycerin film (n = 1.47) on which light of wavelength 688 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air.

The dark spot observed in the center of a Newton's rings pattern is attributed to which of the following?

Two flat glass plates are in contact along one end and are separated by a sheet of paper 5.0 × 10−⁶ m thick at the other end.The top plate is illuminated by a monochromatic light source of wavelength 399 nm.How many dark parallel bands will be evident across the top plate? (1 nm = 10−⁹ m)

A silicon monoxide (n = 1.45) film of 288.9 nm thickness is used to coat a glass camera lens (n = 1.56) .What wavelength of light in the visible region (390 to 710 nm) will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

The blue tint of a coated camera lens is largely caused by what effects?

A silicon monoxide thin film (n = 1.45) of thickness 73.8 nm is applied to a camera lens made of glass (n = 1.55) .This will result in a destructive interference for reflected light of what wavelength?

When light shines on a lens placed on a flat piece of glass,interference occurs which causes circular fringes called Newton's rings.The two beams that are interfering come:

When light passes from a material with a high index of refraction into material with a low index of refraction:

Two flat glass plates are in contact along one end and are separated by a sheet of tissue paper at the other end.A monochromatic source of wavelength 509 nm illuminates the top plate.If 11 dark bands are counted across the top plate,what is the paper thickness? (1 nm = 10−⁹ m)

Laser light sent through a double slit produces an interference patter on a screen 3.00 m from the slits.If the tenth order maximum occurs at an angle of 41.9°,at what angle does the third order maximum occur?

Two closely spaced parallel glass plates are separated by 850 nm.What wavelength light source in the visible region (390 nm to 710 nm) will experience maximum transmission through the two plates?

In a Young's experiment,the paths from the slits to a point on the screen differ in length,causing destructive interference at the point.Which of the following path difference would cause this destructive interference?

What wavelength monochromatic source in the visible region (390 to 710 nm) can be used to constructively reflect off a soap film (n = 1.46) if the film is 222 nm thick?

Quiz 24: Wave Optics

What wavelength monochromatic source in the visible region (390 to 710 nm) can be used to constructively reflect off a soap film (n = 1.46) if the film is 108 nm thick?

Light of wavelength 684 nm shines on a soap bubble film (n = 1.46) .For what soap film thickness,other than the minimum thickness,will constructive interference occur?

A silicon monoxide (n = 1.45) film of 101.7 nm thickness is used to coat a glass camera lens (n = 1.56) .What wavelength of light in the visible region (390 to 710 nm) will be most efficiently transmitted by this system? (1 nm = 10−9 m)

Light is reflecting off a wedge-shaped thin piece of glass producing bright and dark interference fringes.If a certain location has a bright fringe,a nearby point will have a dark fringe if the thickness of the glass increases by:

The center spot of Newton's rings is dark.This destructive interference occurs because:

In a Young's double-slit experiment,how many maxima occur between the 5th order maxima?

A beam of light of wavelength 633 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−9 m)

What is the minimum thickness of a glycerin film (n = 1.47) on which light of wavelength 688 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air.

The dark spot observed in the center of a Newton's rings pattern is attributed to which of the following?

Two flat glass plates are in contact along one end and are separated by a sheet of paper 5.0 × 10−6 m thick at the other end.The top plate is illuminated by a monochromatic light source of wavelength 399 nm.How many dark parallel bands will be evident across the top plate? (1 nm = 10−9 m)

A silicon monoxide (n = 1.45) film of 288.9 nm thickness is used to coat a glass camera lens (n = 1.56) .What wavelength of light in the visible region (390 to 710 nm) will be most efficiently transmitted by this system? (1 nm = 10−9 m)

The blue tint of a coated camera lens is largely caused by what effects?

A silicon monoxide thin film (n = 1.45) of thickness 73.8 nm is applied to a camera lens made of glass (n = 1.55) .This will result in a destructive interference for reflected light of what wavelength?

When light shines on a lens placed on a flat piece of glass,interference occurs which causes circular fringes called Newton's rings.The two beams that are interfering come:

When light passes from a material with a high index of refraction into material with a low index of refraction:

Two flat glass plates are in contact along one end and are separated by a sheet of tissue paper at the other end.A monochromatic source of wavelength 509 nm illuminates the top plate.If 11 dark bands are counted across the top plate,what is the paper thickness? (1 nm = 10−9 m)

Laser light sent through a double slit produces an interference patter on a screen 3.00 m from the slits.If the tenth order maximum occurs at an angle of 41.9°,at what angle does the third order maximum occur?

Two closely spaced parallel glass plates are separated by 850 nm.What wavelength light source in the visible region (390 nm to 710 nm) will experience maximum transmission through the two plates?

In a Young's experiment,the paths from the slits to a point on the screen differ in length,causing destructive interference at the point.Which of the following path difference would cause this destructive interference?

What wavelength monochromatic source in the visible region (390 to 710 nm) can be used to constructively reflect off a soap film (n = 1.46) if the film is 222 nm thick?

A silicon monoxide (n = 1.45) film of 101.7 nm thickness is used to coat a glass camera lens (n = 1.56) .What wavelength of light in the visible region (390 to 710 nm) will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

In a Young's double-slit experiment,how many maxima occur between the 5^th order maxima?

A beam of light of wavelength 633 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

Two flat glass plates are in contact along one end and are separated by a sheet of paper 5.0 × 10−⁶ m thick at the other end.The top plate is illuminated by a monochromatic light source of wavelength 399 nm.How many dark parallel bands will be evident across the top plate? (1 nm = 10−⁹ m)

A silicon monoxide (n = 1.45) film of 288.9 nm thickness is used to coat a glass camera lens (n = 1.56) .What wavelength of light in the visible region (390 to 710 nm) will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

Two flat glass plates are in contact along one end and are separated by a sheet of tissue paper at the other end.A monochromatic source of wavelength 509 nm illuminates the top plate.If 11 dark bands are counted across the top plate,what is the paper thickness? (1 nm = 10−⁹ m)