Optics Answers

How can we obtain the laws of refraction using Fermat's principle?

A ball rolling on an undulating surfaces comes to rest at te ______________ point

A 2.25 kg mass on a string has a displacement as a function of time given by the equation: x (t) = 5.50 cm Cos(3.25 t). A) What is the force constant of the spring in N/m? B) What is the time for one complete vibration? C) Find the maximum speed of the object in m/s? D) What is the maximum force on the mass?

A body A of mass m1 = 5 kg moving along a directed axis in the positive sense with a velocity of 15 m/s collides head-on with a body B of mass m2 = 8 kg moving in the negative sense with a velocity of 4 m/s. If the velocity of m1 after the collision is 4m/s in the negative sense. Apply your scientific knowledge and understanding of impulse and momentum theorem to find the final velocity of m2

A box experienced a force of 200 N East for 8.7 s. Calculate the impulse caused by the force.

Light from a burning match propagates from left to right, first through a thin lens of focal length 5.1 cm, and then through another thin lens, with a 9.7-cm focal length. The lenses are fixed 32.8 cm apart. A real image of the flame is formed by the second lens at a distance of 22.6 cm from the lens.
(a) How far from the second lens, in centimeters, is its optical object located?
(b) How far is the burning match from the first lens, in centimeters?

Consider the compound optical system shown in the diagram, where two thin lenses of focal lengths 8.5 cm (left lens) and 5.5 cm (right lens) are separated by a distance 36 cm.

Suppose a book is held 5.8 cm from a 12-cm focal length lens.

(a) Find the magnification of the image of the book.
(b) Find the magnification of the lens when the book is held 8.4 cm from the magnifier.

You can determine the index of refraction of a substance by measuring its critical angle for total internal reflection.

Randomized Variables
Θc,w = 74.6°

(a) What is the index of refraction of a substance that has a critical angle of 74.6° when submerged in water (with index of refraction 1.333)?
(b) What would the critical angle be for this substance in air?

Light with a wavelength of 493 nm in vacuum travels through a transparent substance.
(a) What is the wavelength, in nanometers, of this light in water, with a refractive index of 1.33?
(b) What is the wavelength, in nanometers, of this light in Plexiglass, with a refractive index of 1.48?
(c) What is the wavelength, in nanometers, of this light in flint glass, with a refractive index of 1.77?