What is the thinnest film of MgF2n=1.39on glass that

produces a strong reflection for orange light with a wavelength of 600 nm?

Short Answer

Expert verified

The thinnest film should be of 216nmthick that produces reflection of orange light.

Step by step solution

01

Given information

The reflected orange light has a wavelength of λ=600nm=6×10-7m.

The refractive index of the thin film is,n=1.39

02

Thickness of the film determination

The thickness of the thinnest film of MgF2can be obtained by the equation of constructive interference as, localid="1650048664982" d=λm2n, where m=1,2,3......

For thinnest film, consider m=1

Thus, thickness of the film should be,

localid="1650050646256" d=λ2nd=6×10-7m2×1.39d=2.16×10-7md=216nm

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Two out-of-phase radio antennas at x = ±300 m on the x-axis are emitting 3.0 MHz radio waves. Is the point (x, y) = (300 m, 800 m) a point of maximum constructive interference, maximum destructive interference, or something in between

The 40-cm-long tube of FIGURE P17.54 has a 40-cm-long insert

that can be pulled in and out. A vibrating tuning fork is held next to the

tube. As the insert is slowly pulled out, the sound from the tuning fork

creates standing waves in the tube when the total length L is 42.5 cm, 56.7 cm, and 70.9 cm. What is the frequency of the tuning fork? Assume vsound = 343 m/s.

Two loudspeakers emit 400 Hz notes. One speaker sits on the

ground. The other speaker is in the back of a pickup truck. You

hear eight beats per second as the truck drives away from you.

What is the truck’s speed?

FIGURE EX17.27 shows the circular wave fronts emitted by two

wave sources.

a. Are these sources in phase or out of phase? Explain.

b. Make a table with rows labeled P, Q, and R and columns

labeled r1,r2,r,and C/D. Fill in the table for points P, Q, and

R, giving the distances as multiples of l and indicating, with a

C or a D, whether the interference at that point is constructive

or destructive.

Ultrasound has many medical applications, one of which is to monitor fetal heartbeats by reflecting ultrasound off a fetus in the womb.

a. Consider an object moving at speed votoward an at-rest source that is emitting sound waves of frequency f0. Show that the reflected wave (i.e., the echo) that returns to the source has a Doppler-shifted frequencyfecho=v+v0vv0f0

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free