Ask your homework questions to teachers and professors, meet other students, and be entered to win $600 or an Xbox Series X 🎉Join our Discord!

Like

Report

University of Wisconsin - Milwaukee

Like

Report

Problem 55 Medium Difficulty

An interferometer is used to measure the length of a bacterium. The wavelength of the light used is 650. nm. As one arm of the interferometer is moved from one end of the cell to the other, 310. fringe shifts are counted. How long is the bacterium?

Answer

50.4 \mu m

Discussion

You must be signed in to discuss.
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Farnaz M.

Other Schools

Zachary M.

Hope College

Aspen F.

University of Sheffield

Video Transcript

So here we're trying to find the length of the bacterium using an interferometer. So the web link of the light used is 650. Narrator The total friendship while moving the arm from one end of the bacterium to the other end is 310 fringes. Now, using the fact that Lambda by Ford instance moved is equal to one friend shift just like the problems we did before we can write down and equals Delta L over, they'll lambda before. Okay, remember, Delta is the total distance move by the arm, and in this case, actually, that is going to be the size of the bacteria. So I'm gonna write down Delta L. It calls size off the bacterium. So from here, still to l is going to be and times Lambda over four. And that's going to be 3 10 times 6 50 times 10 to the negative nine over for, And this is going to give me 5.4 times 10 to the negative five meter, which is 50 points for micrometer

University of Wisconsin - Milwaukee
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Farnaz M.

Other Schools

Zachary M.

Hope College

Aspen F.

University of Sheffield