5.39 A chemical adsorbs onto the surface of a rectangular silicon beam measuring 200 μm long and 1 µm thick, with an elastic modulus of 100 GPa and a Poisson's ratio of 0.22. This alters the surface stress by 2 x 10 N/m. a. By how much does the beam deflect? b. Using an AFM with 100 times less vertical resolution than the best demon- strated, would you be able to detect such a deflection? c. If the deflected beam formed part of the curved surface of a large virtual sphere, what would be the sphere's diameter?
5.39 A chemical adsorbs onto the surface of a rectangular silicon beam measuring 200 μm long and 1 µm thick, with an elastic modulus of 100 GPa and a Poisson's ratio of 0.22. This alters the surface stress by 2 x 10 N/m. a. By how much does the beam deflect? b. Using an AFM with 100 times less vertical resolution than the best demon- strated, would you be able to detect such a deflection? c. If the deflected beam formed part of the curved surface of a large virtual sphere, what would be the sphere's diameter?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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![5.39 A chemical adsorbs onto the surface of a rectangular silicon beam measuring
200 µm long and 1 um thick, with an elastic modulus of 100 GPa and a Poisson's
ratio of 0.22. This alters the surface stress by 2 x 10 N/m.
a. By how much does the beam deflect?
b. Using an AFM with 100 times less vertical resolution than the best demon-
strated, would you be able to detect such a deflection?
c. If the deflected beam formed part of the curved surface of a large virtual
sphere, what would be the sphere's diameter?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89d31404-901c-4cb4-8788-ffc7f5a8d5c1%2Fcaa0cdac-4679-446b-917b-dc66265fe9ae%2Fpmymstp_processed.png&w=3840&q=75)
Transcribed Image Text:5.39 A chemical adsorbs onto the surface of a rectangular silicon beam measuring
200 µm long and 1 um thick, with an elastic modulus of 100 GPa and a Poisson's
ratio of 0.22. This alters the surface stress by 2 x 10 N/m.
a. By how much does the beam deflect?
b. Using an AFM with 100 times less vertical resolution than the best demon-
strated, would you be able to detect such a deflection?
c. If the deflected beam formed part of the curved surface of a large virtual
sphere, what would be the sphere's diameter?
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