Home
Class 12
PHYSICS
A particle of specific charge alpha is p...

A particle of specific charge `alpha` is projected from origin with velocity `v=v_0hati-v_0hatk` in a uniform magnetic field `B=-B_0hatk`. Find time dependence of velocity and position of the particle.

A

`vecv(t)=v_0cos (alphaB_0t)hati+v_0sin(alphaB_0t)hatj-v_0hatk`

B

`vecv(t)=-v_0cos (alphaB_0t)hati+v_0sin(alphaB_0t)hatj+v_0hatk`

C

`vecv(t)=-v_0cos (alphaB_0t)hati+v_0sin(alphaB_0t)hatj-v_0hatk`

D

`vecv(t)=v_0cos (alphaB_0t)hati+v_0sin(alphaB_0t)hatj+v_0hatk`

Text Solution

Verified by Experts

The correct Answer is:
a

`vecv=v_0cos thetahati+v_0sin thetahatj-v_0hatk`
where `theta=omegat=(qB_0)/mt=alphaB_0t`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS|Exercise Exercises Multiple Correct|25 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS|Exercise Exercises Assertion -reasoning|8 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS|Exercise Exercises Subjective|10 Videos

  • KINETIC THEORY

    CENGAGE PHYSICS|Exercise Question Bank|31 Videos

  • Magnetism and Matter

    CENGAGE PHYSICS|Exercise Question Bank|50 Videos

Similar Questions

Explore conceptually related problems

A proton is fired from origin with velocity vecv=v_0hatj+v_0hatk in a uniform magnetic field vecB=B_0hatj .

A particle of specific charge 'alpha' is projected from origin at t=0 with a velocity vec(V)=V_(0) (hat(i)-hat(k)) in a magnetic field vec(B)= -B_(0)hat(k) . Then : (Mass of particle =1 unit)

A particle of charge q and mass m is projected from the origin with velocity v=v_0 hati in a non uniformj magnetic fiedl B=-B_0xhatk . Here v_0 and B_0 are positive constants of proper dimensions. Find the maximum positive x coordinate of the particle during its motion.

A charge praticule of sepeific charge (charge/ mass ) alpha is realsed from origin at time t=0 with velocity v= v_(0)(hati+hatj) in unifrom magnetic fields B= B_(0)hati . Co-ordinaties of the particle at time t = (pi)/(B_(0)alpha) are

A particle of specific charge alpha enters a uniform magnetic field B=-B_0hatk with velocity v=v_0hati from the origin. Find the time dependence of velocity and position of the particle.

A charged particle of specific charge (charge/mass) alpha released from origin at time t=0 with velocity vec v = v_0 (hat i + hat j) in uniform magnetic field vec B = B_0 hat i. Coordinates of the particle at time t= pi//(B_0 alpha) are

A portion is fired from origin with velocity vec(v) = v_(0) hat(j)+ v_(0) hat(k) in a uniform magnetic field vec(B) = B_(0) hat(j) . In the subsequent motion of the proton

A particle of specific charge q/m=pi C//kg is projected from the origin towards positive x -axis with a velocity of 10 m//s in a uniform magnetic field vec(B)=-2hatk T . The velocity vec(v) of particle after time t=1/12 s will be (in m//s )

A particle of charge per unit mass alpha is released from origin with a velocity vecv=v_(0)hati uniform magnetic field vecB=-B_(0)hatk . If the particle passes through (0,y,0) , then y is equal to

A charged particle (q.m) released from origin with velocity v=v_(0)hati in a uniform magnetic field B=(B_(0))/(2)hati+(sqrt3B_(0))/(2)hatJ . Pitch of the helical path described by the particle is

CENGAGE PHYSICS-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 Vhati ...

    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 cylindrical region of rad...

    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 and charge 1.6xx10^(-19)c is projec...

    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

    |