Home
Class 12
PHYSICS
Electric field and magnetic field n a re...

Electric field and magnetic field `n` a region of space is given by `E=E_0hatj` and `B=B_0hatj`. A particle of specific charge alpha is released from origin with velocity `v=v_0hati`. Then path of particle

A

is a circle

B

is a helix with uniform pitch

C

is a helix with non uniform pitch

D

is cycloid

Text Solution

Verified by Experts

The correct Answer is:
C
Electric field (acting along `hatj` direction) will change the velocity component which is parallel to `B=B_0hatj` and `v=v_0hatj` will rotate the particle in a circle. Hence, the net path is helical with variable pitch.
Promotional Banner

Topper's Solved these Questions

  • MAGNETICS

    DC PANDEY ENGLISH|Exercise SCQ_TYPE|5 Videos

  • MAGNETICS

    DC PANDEY ENGLISH|Exercise MCQ_TYPE|1 Videos

  • MAGNETICS

    DC PANDEY ENGLISH|Exercise SUBJECTIVE_TYPE|1 Videos

  • MAGNETIC FIELD AND FORCES

    DC PANDEY ENGLISH|Exercise Medical entrance s gallery|59 Videos

  • MAGNETISM AND MATTER

    DC PANDEY ENGLISH|Exercise Medical gallery|1 Videos

Similar Questions

Explore conceptually related problems

Electric field and magnetic field in a region of space are given by (Ē= E_0 hat j) . and (barB = B_0 hat j) . A charge particle is released at origin with velocity (bar v = v_0 hat k) then path of particle is

Electric and magnetic field are directed as E_(0) hat(i) and B_(0) hat(k) , a particle of mass m and charge + q is released from position (0,2,0) from rest. The velocity of that particle at (x,5,0) is (5 hat(i) + 12 hat(j)) the value of x will be

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.

In the region between the plane z=0 and z=a (a gt 0) , the uniform electric and magnetic fields are given by vecE=E_(0)(hatk-hatj) , vecB=B_(0)hati . The region defined by a le z le b contains only magnetic field vecB= -B_(0)hati . Beyond z gt b no field exits. A positive point charge q is projected from the origin with velocity v_(0)hatk . Assuming the mass of the particle to be (2)/(3)(qE_(0)a)/(v_(0)^(2)) . The value of E_(0) such that the particle moves undeviated upto the plane z=a is

In a certain region, uniform electric field E=-E_0hatk and magnetic field B = B_0hatk are present. At time t = 0 , a particle of mass m and charge q is given a velocity v = v j + v k . Find the minimum speed of the particle and the time when it happens so.

In the region between the plane z=0 and z=a (a gt 0) , the uniform electric and magnetic fields are given by vecE=E_(0)(hatk-hatj) , vecB=B_(0)hati . The region defined by a le z le b contains only magnetic field vecB= -B_(0)hati . Beyond z gt b no field exits. A positive point charge q is projected from the origin with velocity v_(0)hatk . Assuming the mass of the particle to be (2)/(3)(qE_(0)a)/(v_(0)^(2)) . The minimum value of b such that the particle reverses its direction completely is

In a region, steady and uniform electric and magnetic fields are present . These two fields are parallel to each other. A charged particle is released from rest in this region . The path of the particle will be a

A charged particle moves in a magnetic field vecB=10hati with initial velocity vecu=5veci+4hatj . The path of the particle will be

Uniform electric field E and magnetic field B, respectively, are along y-axis as shown in the figure. A particle with specific charge q/m leaves the origin O in the direction of x-axis with an initial non-relativistic speed v_(0). The coordinate Y_(n) of the particle when it crosses the y-axis for the nth time is:

DC PANDEY ENGLISH-MAGNETICS-Exercise
  1. Two long straight wires, each carrying a current I in opposite directi...

    Text Solution

    |

  2. The magnetic field ast a distance x on the axis of a circular coil of ...

    Text Solution

    |

  3. Electric field and magnetic field n a region of space is given by E=E0...

    Text Solution

    |

  4. An electron having kinetic energy K is moving i a circular orbit of ra...

    Text Solution

    |

  5. Four long staight wires are located at the corners of a square ABCD. A...

    Text Solution

    |

  6. A charged particle of mass m and charge q is accelerated through a pot...

    Text Solution

    |

  7. The straight wire AB carries a current I. The ends of the wire subtend...

    Text Solution

    |

  8. The figure shows three indentical current carryng square loops A, B an...

    Text Solution

    |

  9. The figure shows a long straigh wire carryhing a current I1 along the ...

    Text Solution

    |

  10. The figure shows a wire frame in xy-plane carryigna current I. The mag...

    Text Solution

    |

  11. An electron moving in a circular orbit of radius R with frequency f. T...

    Text Solution

    |

  12. A square loop of side a carris a current I. The magnetic field at the ...

    Text Solution

    |

  13. The figure shows the cross section of two long coaxial tubes carrying ...

    Text Solution

    |

  14. The figure shows a point PO on the axis of a circular loop carrying cu...

    Text Solution

    |

  15. In the figure, the curved part represents arc of a circle of radius x....

    Text Solution

    |

  16. A cylindrical long wire of radius R carries a current I uniformly dist...

    Text Solution

    |

  17. A circular loop carrying a current I is placed in the xy-plane as show...

    Text Solution

    |

  18. An electron has velocity v = (2.0 xx 10^6 m/s) hati + (3.0 x 10^6 m/s ...

    Text Solution

    |

  19. An electron moves through a uniform magnetic fiedl given by B=Bxhati+(...

    Text Solution

    |

  20. A particle with charge 7.80 muC is moving with velocity v = - (3.80 xx...

    Text Solution

    |