Home
Class 12
PHYSICS
A particle of charge +q and mass m movi...

A particle of charge ` +q` and mass `m` moving under the influence of a uniform electric field ` E hat(i)` and uniform magnetic field ` B hat(k)` follows a trajectory from ` P to Q` as shown in fig. The velocities at `P and Q` are ` v hat(i)` and ` - 2v hat(j)` . which of the following statement(s) is/are correct ?

A

`E=3/4(mv^(2))/(qa)`

B

Rate of work done by electric field at `P` is `3/4 (mv^(3))/a`

C

Rate of work done by electric field at `P` is zero

D

Rate of work done by both the fields at `Q` is zero

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    ERRORLESS |Exercise QUESTIONS|126 Videos
  • MAGNETISM

    ERRORLESS |Exercise Assertion & Reason|1 Videos

Similar Questions

Explore conceptually related problems

A particle of charge +q and mass m moving under the influnce of a uniform electric field E hati and a uniform magnetic field Bhatk follows trajectory from P to Q as shown in figure. The velocities at P and Q vhati and -2vhatj respectively. Which of the following statement(s) is/are correct

A particle of charge q and mass m starts moving from the origin under the action of an electric field vec E = E_0 hat i and vec B = B_0 hat i with a velocity vec v = v_0 hat j . The speed of the particle will become 2v_0 after a time.

A particle of charge q and mass m starts moving from the origin under the action of an electric field vecE=E_0 hat i and vec B=B_0 hat i with velocity vec v=v_0 hat j . The speed of the particle will become 2v_0 after a time

A particle ( mass = m and charge = q ) is moving in a region in which there exists a uniform electric field E vec( i ) and a uniform magnetic field B hat (k) . At t = 0 , the particle is at ( 0,a ) and is moving with v hat(i) . After some time, the particle is located at ( 2a, 0 ) and has a velocity - 2 v hat( j ) , then which of the following is true ?

An alpha particle moving with the velocity vec v = u hat i + hat j ,in a uniform magnetic field vec B = B hat k . Magnetic force on alpha particle is

An electron of charge -e , mass m, enters a uniform magnetic field vec(B)= B hat(i) with an initial velocity vec(v) = v_(x) hat(i) + v_(y) hat(j) . What is the velocity of the electron after a time interval of t seconds?

A particle of charge -q and mass m enters a uniform magnetic field vecB (perpendicular to paper inward) at P with a velocity v_0 at an angle alpha and leaves the field at Q with velocity v at angle beta as shown in fig.

A particle of charge q and mass m released from origin with velocity vec(v) = v_(0) hat(i) into a region of uniform electric and magnetic fields parallel to y-axis. i.e., vec(E) = E_(0) hat(j) and vec(B) = B_(0) hat(j) . Find out the position of the particle as a functions of time Strategy : Here vec(E) || vec(B) The electric field accelerates the particle in y-direction i.e., component of velocity goes on increasing with acceleration a_(y) = (F_(y))/(m) = (F_(e))/(m) = (qE_(0))/(m) The magnetic field rotates the particle in a circle in x-z plane (perpendicular to magnetic field) The resultant path of the particle is a helix with increasing pitch. Velocity of the particle at time t would be vec(v) (t) = v_(x) hat(i) + v_(y) hat(j) + v_(z) hat(k)

If the vectors 2 hat(i) - q hat(j) + 3 hat(k) and 4 hat(i) - 5 hat(j) + 6 hat(k) are collinear then find the value of q.

Figure 2 (EP). 13 shows the orientatione of two vectors vec u and vec v in the (XY) plane. If vec u = a hat I + b hat j and vec v = p hat + q hat j which of the following is correct ? .

ERRORLESS -MAGNETIC EFFECT OF CURRENT-Exercise
  1. A non - popular loop of conducting wire carrying a current I is placed...

    Text Solution

    |

  2. A long straight wire along the z- axis carries a current I in the neg...

    Text Solution

    |

  3. A particle of charge +q and mass m moving under the influence of a un...

    Text Solution

    |

  4. H^(+), He^(+) and O^(++) all having the same kinetic energy pass thro...

    Text Solution

    |

  5. An ionized gas contains both positive and negative ions . If it is sub...

    Text Solution

    |

  6. An electron is moving with speed 2xx10^5 m//s along the positive x-dir...

    Text Solution

    |

  7. A particle of mass m and charge q moves with a constant velocity v alo...

    Text Solution

    |

  8. For a positively charged particle moving in a x-y plane initially alon...

    Text Solution

    |

  9. A horizontal rod of mass 10g and length 10cm is placed on a smooth pla...

    Text Solution

    |

  10. A wire of length L metre , carrying a current I ampere is bent in the...

    Text Solution

    |

  11. A thin circular wire carrying a current I has a magnetic moment M. The...

    Text Solution

    |

  12. A particle of charge q and mass m moves in a circular orbit of radius ...

    Text Solution

    |

  13. An elastic circular wire of length l carries a current I. It is placed...

    Text Solution

    |

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

    Text Solution

    |

  15. Wires 1 and 2 carrying currents i(1) and i(2) respectively are incline...

    Text Solution

    |

  16. A conducting loop carrying a current I is placed in a uniform magnetic...

    Text Solution

    |

  17. A current carrying loop is placed in a uniform magnetic field in four...

    Text Solution

    |

  18. A metallic block carrying current I is subjected to a uniform magneti...

    Text Solution

    |

  19. Two insulated rings, one of a slighlty smaller diameter than the other...

    Text Solution

    |

  20. Two particles , each of mass m and charge q, are attached to the two ...

    Text Solution

    |