Home
Class 12
PHYSICS
An electron is projected at an angle the...

An electron is projected at an angle `theta` with a uniform magnetic field. If the pitch of the helical path is equal to its radius, then the angle of projection is

A

`tan^-1 pi`

B

`tan^-1 2pi`

C

`cot^-1 pi`

D

`cot^-1 2pi`

Text Solution

Verified by Experts

The correct Answer is:
b
`r=(mvsin theta)/(qB)`, Pitch: `p=v cos thetaT =v cos theta(2pim)/(qB)`
Now, `p=r`, solve to get `theta=tan^-1 2pi`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Exercises Multiple Correct|25 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Exercises Assertion -reasoning|8 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Exercises Subjective|10 Videos

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Concept Based|8 Videos

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise True and False|3 Videos

Similar Questions

Explore conceptually related problems

A particle is projected at an angle theta with an initial speed u .

In the previous question, if the pitch of the helical path is equal to the maximum distance of the particle from the x-axis

When a body is projected at an angle with the horizontal in the uniform gravitational field of the earth, the angular momentum of the body about the point of projection, as it proceeds along its path

A charged particle enters a unifrom magnetic field with velocity vector at an angle of 45^(@) with the magnetic field . The pitch of the helical path followed by the particles is rho . The radius of the helix will be

If a body is projected with an angle theta to the horizontal, then

If cathode rays are projected at right angles to a magnetic field, their trajectory is:

A particle is projected at t = 0 with velocity u at angle theta with the horizontal. Then the ratio of the tangential acceleration and the radius of curvature at the point of projection is :

A particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the path described by the particle is proportional to

A particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the path described by the particle is proportional to

A particle is projected from ground at an angle theta with horizontal with speed u. The ratio of radius of curvature of its trajectory at point of projection to radius of curvature at maximum height is -

CENGAGE PHYSICS ENGLISH-MAGNETIC FIELD AND MAGNETIC FORCES-Exercises Single Correct
  1. A uniform magnetic field exist in a region which forms an equilateral ...

    Text Solution

    |

  2. A particle of positive charge q and mass m enters with velocity Vhatj ...

    Text Solution

    |

  3. In the plane mirror, the coordinates of image of a charged particle (i...

    Text Solution

    |

  4. A uniform magnetic field of 1.5T exists in a cylinderical region of ra...

    Text Solution

    |

  5. An insulating rod of length I carries a charge q distrubuted uniformly...

    Text Solution

    |

  6. Two straight segments of wire ab and bc each carrying current I, are p...

    Text Solution

    |

  7. A current carrying loop is placed in the non-uniform magnetic field wh...

    Text Solution

    |

  8. A current carrying loop lies on a smooth horizontal plane. Then,

    Text Solution

    |

  9. A semicircular wire of radius R, carrying current I, is placed in a ma...

    Text Solution

    |

  10. A wire of cross-sectional area A forms three sides of a square and is ...

    Text Solution

    |

  11. A proton of mass 1.67xx10^(-27) kg charge 1.6xx10^(-19) C is projected...

    Text Solution

    |

  12. A beam of mixture of alpha particle and protons are accelerted through...

    Text Solution

    |

  13. An electron is projected at an angle theta with a uniform magnetic fie...

    Text Solution

    |

  14. A charged particle moves in a uniform magnetic field perpendicular to ...

    Text Solution

    |

  15. A particle of specific charge alpha is projected from origin with velo...

    Text Solution

    |

  16. A straight peice of conducting wire with mass M and length L is placed...

    Text Solution

    |

  17. In a moving coil galvanometer is based on the

    Text Solution

    |

  18. In a moving coil galvanometer, we use a radial magnetic field so that ...

    Text Solution

    |

  19. The current that must flow through the coil of a galvanometre so as to...

    Text Solution

    |

  20. In a moving coil galvanometer, the deflection of the coil theta is rel...

    Text Solution

    |