Question

1. Find the minimum thickness of a soap bubble, in nanometers, that appears red when illuminated by white light perpendicular to its surface. Take the wavelength to be 674 nm, and assume the same index of refraction to be 1.39.

2. At what angle, in degrees, is the second minimum for 487 nm light falling on a single slit of width 1.63 μm ?

3. What is the separation between two slits for which 643 nm orange light has its first maximum at an angle of 32.4º? Give your answer in microns.

4. The headlights of a car are 1.2 m apart. What is the maximum distance in kilometers at which the eye can resolve these two headlights? Take the pupil diameter to be 0.39 cm. Use light of wavelength 578 nm to calculate the answer.

5. What is the distance between fringes (in millimeters) produced by a diffraction grating having 119 lines per centimeter for 693 nm light, if the screen is 1.96 m away?

Plz answer all questions, don't have money for more. will give thumbs up in appreciation :)

Answer 1

1.

t = thickness = ?

n = index of refraction = 1.39

= wavelength = 674 nm

Using the equation

2nt = m

for m = 1

2(1.39)t = (1)(674)

t = 242.45 nm

2.

n = 2

d = 1.63 x 10-6 m

= angle

= wavelength = 487 x 10-9 m

using the equation

d Sin = n

(1.63 x 10-6) Sin = (2) (487 x 10-9)

Sin = 0.598

= 36.7 deg