<< Chapter < Page Chapter >> Page >

Integrated Concepts

Estimate the density of a nucleus by calculating the density of a proton, taking it to be a sphere 1.2 fm in diameter. Compare your result with the value estimated in this chapter.

Got questions? Get instant answers now!

Integrated Concepts

The electric and magnetic forces on an electron in the CRT in [link] are supposed to be in opposite directions. Verify this by determining the direction of each force for the situation shown. Explain how you obtain the directions (that is, identify the rules used).

The electric force on the electron is up (toward the positively charged plate). The magnetic force is down (by the RHR).

Got questions? Get instant answers now!

(a) What is the distance between the slits of a diffraction grating that produces a first-order maximum for the first Balmer line at an angle of 20.0º ?

(b) At what angle will the fourth line of the Balmer series appear in first order?

(c) At what angle will the second-order maximum be for the first line?

Got questions? Get instant answers now!

Integrated Concepts

A galaxy moving away from the earth has a speed of 0.0100 c . What wavelength do we observe for an n i = 7 size 12{n rSub { size 8{i} } =7} {} to n f = 2 size 12{n rSub { size 8{f} } =2} {} transition for hydrogen in that galaxy?

401 nm

Got questions? Get instant answers now!

Integrated Concepts

Calculate the velocity of a star moving relative to the earth if you observe a wavelength of 91.0 nm for ionized hydrogen capturing an electron directly into the lowest orbital (that is, a n i = size 12{n rSub { size 8{i} } = infinity } {} to n f = 1 size 12{n rSub { size 8{f} } =1} {} , or a Lyman series transition).

Got questions? Get instant answers now!

Integrated Concepts

In a Millikan oil-drop experiment using a setup like that in [link] , a 500-V potential difference is applied to plates separated by 2.50 cm. (a) What is the mass of an oil drop having two extra electrons that is suspended motionless by the field between the plates? (b) What is the diameter of the drop, assuming it is a sphere with the density of olive oil?

(a) 6 . 54 × 10 16 kg size 12{6 "." "53" times "10" rSup { size 8{ - "16"} } " kg"} {}

(b) 5 . 54 × 10 7 m size 12{5 "." "53" times "10" rSup { size 8{ - 7} } " m"} {}

Got questions? Get instant answers now!

Integrated Concepts

What double-slit separation would produce a first-order maximum at 3 . 00º size 12{3 "." "00"°} {} for 25.0-keV x rays? The small answer indicates that the wave character of x rays is best determined by having them interact with very small objects such as atoms and molecules.

Got questions? Get instant answers now!

Integrated Concepts

In a laboratory experiment designed to duplicate Thomson’s determination of q e / m e size 12{q rSub { size 8{e} } /m rSub { size 8{e} } } {} , a beam of electrons having a velocity of 6 . 00 × 10 7 m/s size 12{6 "." "00" times "10" rSup { size 8{7} } `"m/s"} {} enters a 5.00 × 10 3 T magnetic field. The beam moves perpendicular to the field in a path having a 6.80-cm radius of curvature. Determine q e / m e from these observations, and compare the result with the known value.

1 . 76 × 10 11 C/kg size 12{1 "." "76" times "10" rSup { size 8{"11"} } " C/kg"} {} , which agrees with the known value of 1 . 759 × 10 11 C/kg size 12{1 "." "759" times "10" rSup { size 8{"11"} } " C/kg"} {} to within the precision of the measurement

Got questions? Get instant answers now!

Integrated Concepts

Find the value of l , the orbital angular momentum quantum number, for the moon around the earth. The extremely large value obtained implies that it is impossible to tell the difference between adjacent quantized orbits for macroscopic objects.

Got questions? Get instant answers now!

Integrated Concepts

Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons are captured by an atom, they orbit just like an electron but with a smaller radius, since the mass in a B = h 2 2 m e kq e 2 = 0.529 × 10 10 m is 207 m e .

(a) Calculate the radius of the n = 1 size 12{n=1} {} orbit for a muon in a uranium ion ( Z = 92 size 12{Z="92"} {} ).

(b) Compare this with the 7.5-fm radius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can see that the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.

(a) 2.78 fm

(b) 0.37 of the nuclear radius.

Got questions? Get instant answers now!
Practice Key Terms 4

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, College physics. OpenStax CNX. Jul 27, 2015 Download for free at http://legacy.cnx.org/content/col11406/1.9
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'College physics' conversation and receive update notifications?

Ask