A fisherman spots a fish underneath the water. It appears that the fish is d0 = 0.51 m under the water surface at an angle of θa = 62 degrees with respect to the normal to the surface of the water. The index of refraction of water is nw = 1.3 and the index of refraction of air is na = 1.   Solve for the numerical value of θw in degrees.  Now assume that the real position of the fish is directly below the apparent position, as shown in the figure. Express the real depth of the fish, d, in terms of L and tanθw.

Q: A light beam containing red and violet wavelengths is incident on a slab of quartz at an angle of…

A: The problem is based on snell's law of refraction. To solve the given problem we will write down the…

Q: A scuba diver is submerged in a pool of liquid having an index of refraction n. He looks up at the…

A: Given that, the refractive index of the pool is n=1.75 And the angle from the normal to the light…

Q: A scientist is carrying out an experiment to determine the index of refraction for a partially…

A: Angle of incidence, θi = 46°   Required: (a) Refractive index of material, n = ?  (b) Angle of…

Q: The index of refraction for a certain type of glass is 1.645 for blue light and 1.605 for red light.…

A:

Q: Three sheets of plastic have unknown indices of refraction. Sheet 1 is placed on top of sheet 2, and…

A:

Q: The index of refraction for a certain type of glass is 1.641 for blue light and 1.603 for red light.…

A:

Q: Using filters, a technician has created a beam of light consisting of three wavelengths: 400 nm…

A:

Q: 0 and incident on a medium that has an index of refraction 1.40.   B) There is a critical angle for…

A: Critical angle:-  We know that the critical angle is defined as an angle of incidence, for which the…

Q: The index of refraction for a certain type of glass is 1.635 for blue light and 1.611 for red light.…

A:

Q: You have a beaker with a layer of olive oil floating on top of water. A ray of light travels through…

A:

Q: A submarine is 301 m horizontally out from the shore and 104 m beneath the surface of the water. A…

A: Given Data : The horizontal distance of the submarine from the shore is given as d = 301m. The depth…

Q: In the figure, light is incident at angle 01 = 37.0° on a boundary between two transparent…

A:

Q: A piece of glass (n=1.50) is submerged under water (n=1.33). A ray of light starts in the glass and…

A:

Q: Using filters, a technician has created a beam of light that consists of three wavelengths: 400 nm…

A: Given:- A beam of light that consists of three wavelengths: 400 nm (violet), 500 nm (green), and 650…

Q: (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than…

A: Using Snell's law as follows: nasini=ngsinr Here na is the refractive index of air , ng is the…

Q: In the figure, a double-glazed window consists of two identical panes of glass (ng = 1.40), each yg…

A:

Q: A beaker with a mirrored bottom is filled with a liquid whose index of refraction is nliq = 1.41. A…

A: Given data: Index of refraction of the liquid:  The incident angle of the light ray: Concept: When a…

Q: Using filters, a technician has created a beam of light that consists of three wavelengths: 400 nm…

A:

Q: A gull, looking down from the air vertically, observes a fish at a certain depth below the surface…

A: Given, Real Depth= d, Apparent depth= d0 , and RI of sea water,n=43 .

Q: An engineer is carrying out an experiment to determine the index of refraction for a partially…

A: Angle of incidence, θi = 62°   Required: (a) Refractive index of material, n = ?  (b) Angle of…

Q: The index of refraction for crown glass is 1.512 at a wavelength of 660 nm (red), whereas its index…

A: for red color (wavelength = 660 nm) , the refractive index of crown glass = 1.512for violet color…

Q: refracted beam in sheet 2 makes an angle of 31.8° with the normal. The experiment is repeated with…

A:

Q: A beaker with a mirrored bottom is filled with a liquid whose index of refraction is nliq = 1.05. A…

A:

Q: A fish that is d=d= 2.6 m below the surface looks up and sees a woman fishing from the shore. Part…

A: Given:

Q: A flashlight is held at the edge of a swimming pool at a height h = 2.4 m such that its beam makes…

A:

Q: Using filters, a technician has created a beam of light consisting of three wavelengths: 400 nm…

A: The problem is based on the concept of Snell's law; It is given by; sinθ1sinθ2 =n2n1where;θ1=Angle…

Q: Write a first general equation giving the angle of refraction (r) as a function of the angle of…

A:

Q: A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 29.60°. The…

A: GivenAngle of incidence is given as Indices of refraction for blue light is  (in diamond) and (in…

Q: A catfish is 1.8 m below the surface of a smooth lake. (a) What is the diameter of the circle on the…

A:

Q: A block of crown glass is immersed in water as in the figure shown below. A light ray is incident on…

A: A block of crown glass is immersed in water. A light ray is incident at point Q on the top face at…

Q: A ray of light travels from air into another medium, making an angle of ?1 = 45.0° with the normal…

A:

Q: A bichromatic source produces light having wavelengths in vacuum of 450 nm and 650 nm. The indices…

A: The given values are, λ1=450 nmλ2=6450 nmn1=1n2=1.440n'2=1.420θi=50.0°

Dispersion of White Light

Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as: