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Chapter 4: Q59E (page 916)

Suppose the electric field between the plates in below is 1.88脳104V/mand the magnetic field in both regions is 0.682T. If the source contains the three isotopes of krypton,82kr,84krand86kr, and the ions are singly charged, find the distance between the lines formed by the three isotopes on the particle detector. Assume the atomic masses of the isotopes (in atomic mass units) are equal to their mass numbers, 82, 84 and 86 (One atomic mass unit 1u=1.66脳10-27kg)

Short Answer

Expert verified

The distance between the lines formed by the three isotopes on the particle detector are R82=3.44,R84=3.52,R86=3.61

Step by step solution

01

Definition of Isotopes

The term isotopes defined as the element having same atomic number but different mass number.

02

Determine the distance

Due to electric and magnetic field velocity acquired

E = vB

Or

v=EB

Put all the given values

v=1.88脳104N/C0.682Tv=2.757脳104m/s

The radius of curvature in the magnetic field where we have circular motion

R=mv|q|B鈥�

Put all given values

For R82

R82=821.66脳10鈭�27kg2.757脳104m/s1.60脳10鈭�19C(0.682T)R82=3.44cm

For R84

R82=841.66脳10鈭�27kg2.757脳104m/s1.60脳10鈭�19C(0.682T)R82=3.52cm

For R86

R86=861.66脳10鈭�27kg2.757脳104m/s1.60脳10鈭�19C(0.682T)R82=3.61cm

The distance between the lines formed by the three isotopes on the particle detector are

R82=3.44,R84=3.52,R86=3.61

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