Home
Class 12
PHYSICS
An alpha is moving along a circle of rad...

An `alpha` is moving along a circle of radius R with a constant angular velocity `omega`. Point A lies in the same plane at a distance 2R from the centre. Point A records magnetic field produced by the `alpha`-particle. If the minimum time interval between two successive time at which A records zero magnetic field is t, the angular speed `omega`, in terms of t, is

A

`(2pi)/(t)`

B

`(2pi)/(3t)`

C

`(pi)/(3t)`

D

`(pi)/(t)`

Text Solution

Verified by Experts

The correct Answer is:
B
Point A shall record zero magnetic field (due to `alpha-` particle) when the `alpha-` particle is at position P and Q as shwon in figure. The time taken by `alpha-`particle to go from P to Q is

`t=(1)/(3)(2pi)/(omega)` or `omega=(2pi)/(3t)`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    ALLEN |Exercise PAPER 3|92 Videos

  • TEST PAPERS

    ALLEN |Exercise Part-1 Physics|15 Videos

  • TEST PAPERS

    ALLEN |Exercise MATHS|1 Videos

  • TEST PAPER 4

    ALLEN |Exercise PHYSICS|45 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed omega varries with time t is

A point mass moves along a circle of radius R with a constant angular acceleration alpha . How much time is needed after motion begins for the radial acceleration of the point mass to be equal to its tangential acceleration ?

A particle A moves along a circle of radius R=50cm so that its radius vector r relative to the point O(figure) rotates with the constant angular velocity omega=0.40rad//s . Find the modulus of the velocity of the particle, and the modulus and direction of its total acceleration.

An alpha particle of mass m moves on a circular path of radius r in a plane inside and normal to uniform magnetic field B. The time taken by this particle to complete one revolution is ________

PQ is a current - carrying long straight conductor in the plane of the paper as shown in the following figure . A and B are two points at distance r_(1) and r_(2) from it . Mention the direction of the magnetic field produced by it at point A and B .

Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed omega . The discs are in the same horizontal plane. At time t = 0 , the points P and Q are facing each other as shown in the figure. The relative speed between the two points P and Q is v_(r) . In one time period (T) of rotation of the discs , v_(r) as a function of time is best represented by

A particle of mass m, moving in a cicular path of radius R with a constant speed v_2 is located at point (2R,0) at time t=0 and a man starts moving with a velocity v_1 along the +ve y-axis from origin at time t=0 . Calculate the linear momentum of the particle w.r.t. the man as a function of time.

A very long straight wire of radius r carries current I. Intensity of magnetic field B at point lying at a perpendicular distance 'a' from the axis is alpha ______ . (where altr )

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

ALLEN -TEST PAPERS-PAPER 2
  1. In the circuit shown the capacitor is initially uncharged. The charge ...

    Text Solution

    |

  2. Two large oppositely charged insulated plates have a uniform electric ...

    Text Solution

    |

  3. An alpha is moving along a circle of radius R with a constant angular ...

    Text Solution

    |

  4. A current 1 flows along a triangle loop having sides of equal length a...

    Text Solution

    |

  5. A small current element of length 'dl' and carrying current is placed ...

    Text Solution

    |

  6. Let B(P) and B(Q) be the magnetic field produced by the wire P and Q w...

    Text Solution

    |

  7. A long straight solid metal wire of radius R carries a current I, unif...

    Text Solution

    |

  8. A current carrying wire AB of the length L is turned along a circle, a...

    Text Solution

    |

  9. An electron moving with a velocity v along the positive x-axis approac...

    Text Solution

    |

  10. If the ratio of time periods of circular motion of two charged particl...

    Text Solution

    |

  11. A current flows through a rectangular conductor in the presence of uni...

    Text Solution

    |

  12. An inductance L and a resistance R are connected in series with a batt...

    Text Solution

    |

  13. If the readings V(1) and V(3) are 10. volt each, then reading of V(2) ...

    Text Solution

    |

  14. In the series LCR circuit as shown in figure, the heat developed in 80...

    Text Solution

    |

  15. An eye can distinguish between two points of an object if they are sep...

    Text Solution

    |

  16. A Galilean telescope of 10-fold magnification has the length of 45 cm...

    Text Solution

    |

  17. The dispersive powers of two materials are 0.30 & 0.28. They are used ...

    Text Solution

    |

  18. Assume standard notations used for dispersion and deviation is a prism...

    Text Solution

    |

  19. In the figure shown a converging lens and a diverging lens of focal le...

    Text Solution

    |

  20. From the figure shown establish a relation between mu(1),mu(2),mu(3).

    Text Solution

    |