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Which of the following particle will hav...

Which of the following particle will have minimum frequency of revolution when projected with the same velocity perpendicular to a magnetic field?

A

`Li^(+)`

B

Electron

C

Proton

D

`He^(+)`

Text Solution

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The correct Answer is:
A
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Which of the follwing particles will have minimum frequency of revolution when projected with the same velocity perpendicular to a magnetic field?

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The path of a charged particle in a uniform magnetic field depends on the angle theta between velocity vector and magnetic field, When theta is 0^(@) or 180^(@), F_(m) = 0 hence path of a charged particle will be linear. When theta = 90^(@) , the magnetic force is perpendicular to velocity at every instant. Hence path is a circle of radius r = (mv)/(qB) . The time period for circular path will be T = (2pim)/(qB) When theta is other than 0^(@), 180^(@) and 90^(@) , velocity can be resolved into two components, one along vec(B) and perpendicular to B. v_(|/|)=cos theta v_(^)= v sin theta The v_(_|_) component gives circular path and v_(|/|) givestraingt line path. The resultant path is a helical path. The radius of helical path r=(mv sin theta)/(qB) ich of helix is defined as P=v_(|/|)T P=(2 i mv cos theta) p=(2 pi mv cos theta)/(qB) Which particle will have minimum frequency of revolution when projected with the same velocity perpendicular to a magnetic field.

Which of the following particles will describe the smallest circle when projected with the same velocity perpendicular to a magnetic field?

Which of the following particles will describe wll experience maximum magnetic force(magnitude) when projected with the same velocity perpendicular to a magnetic field?

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AAKASH INSTITUTE ENGLISH-MOVING CHARGES AND MAGNETISM-Assignment (Section A) Objective Type Questions (One option is correct)
  1. An electron and a proton have equal kinetic energies. They enter in a ...

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  2. A charge q moves region in a electric field E and the magnetic field B...

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  3. Which of the following particle will have minimum frequency of revolut...

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  4. Mixed He^(+) and O^(2+) ions (mass of He^(+)=4 amu and that of O^(2+)=...

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  5. When a charged particle enters ina uniform magnetic field then its kin...

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  6. There is a magnetic field acting in a plane perpendicular to this shee...

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  7. A beam of protons is moving horizontally towards you. As it approaches...

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  8. If a positively charged particle is moving as shown in the figure, the...

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  9. A charged particle, having charge q(1) accelerated through a potential...

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  10. Doubly ionized oxygen atoms (O^(2-)) and singly-ionized lithium atoms ...

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  11. Two long conductors, separated by a distance d carry currents l(1) and...

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  12. When two wires have current in same direction then force is

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  13. A rectangular loop carrying a current i(2) situated near a long straig...

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  14. Two parallel conductor A and B of equal length carry current l and 10 ...

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  15. A and B are two conductors carrying a current i in the same direction ...

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  16. Two long parallel copper wires carry current of 5A each in opposite di...

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  17. A, B and C are parallel conductors of equal length carrying currents I...

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  18. A conducting circular loop of radiius r carries a constant current i. ...

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  19. A conductor PQ, carrying a current i is placed perpendicular to a long...

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  20. The force between two parallel conductor, each of length 50m and dista...

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