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A beam of equally charged particles after being accelerated through a voltage V enters into a magnetic field B as shown in Fig. 1.31. It is found that all the particles hit the plate between C and D. Find the ratio between the masses of the heaviest and lightest particles of the beam.

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`qV=1/2mv^2 implies v=sqrt((2qV)/m)`
`r=(mv)/(qB)=m/(qB)sqrt((2qV)/m)=sqrt((2mV)/(qB^2)) implies mpropr^2`
`(m_("heavy"))/(m_("light"))=((1+d)/l)^2`
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CENGAGE PHYSICS-MAGNETIC FIELD AND MAGNETIC FORCES-Exercise 1.1
  1. A positive charge particle of charge q and mass m enters into a unifor...

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  2. Repeat above Question 3, if the charge is negative and the angle made ...

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  3. A uniform mangetic field of strength B exists in a region of width d. ...

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  4. In Fig. what should be the speed of the charged particle so that it ca...

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  5. A charged particle enters a region which offers a resistance against i...

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  6. An electron moves in a uniform magnetic field and follows a spiral pat...

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  7. A charged particle moves in a gravity free space where an electric fie...

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  8. A particle with charge -5.60 nC is moving in a uniform magnetic field ...

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  9. A particle with charge 7.00 mu C is moving with velocity vec v =- (4xx...

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  10. A particle with charge 6.40 xx 10^(-19) C travels in a circular orbit...

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  11. Figure 1.31 shows the trace of the path of a charged particle in a bub...

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  12. A particle of mass m and charge q is accelerated by a potential differ...

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  13. A beam of equally charged particles after being accelerated through a ...

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  14. A proton and an alpha particle are projected in a magnetic field which...

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  15. A beam of singly ionized atoms of carbon (each charge +e) all have the...

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  16. When a proton has a velocity vec v = (2hat i + 3 hat j) xx 10^6 ms^-1,...

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  17. The force on a charged particle moving in a magnetic field can be comp...

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  18. A particle of charge qgt0 is moving at speed v in the +z direction thr...

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  19. Protons having a kinetic energy of 5 MeV are moving in the positive x-...

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  20. Electrons in a beam are accelerated from rest through a potential diff...

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