Home
Class 11
PHYSICS
A charge particle 'q' is shot towards an...

A charge particle 'q' is shot towards another charged particle 'Q' which is fixed, with a speed 'v'. It approaches 'Q' upto a closest distance r and then returns. If q were given a speed of '2v' the closest distances of approach would be

A

r

B

2r

C

`r//2`

D

`r//4`

Text Solution

Verified by Experts

The correct Answer is:
D
At the distance of closest approach
`K_("Initial")=PE_("final")`
`1/2 mv^(2)=(Kq_(1)q_(2))/r_(0)rArr r_(0) prop 1/v^(2)`
Hence `r_(20)/r_(10)=(v_(1)/v_(2))^(2)=(v/(2v))^(2)=1/4 rArr r_(20)=r_(10)/4`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-05(B)|19 Videos

  • MISCELLANEOUS

    ALLEN|Exercise MCQ s WITH ONE OR MORE THAN ONE CORRECT ANSWER|6 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exersice-04[B]|16 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

A charged particle q is shot from a large distance twoards another charged particle Q which is fixed, with speed v. It approaches Q up to as closed distance r and then returns. If q were given a speed 2v, the distasnce of approach would be

A particle of mass m, charge q gt 0 and initial kinetic energy K is projected from infinity towards a heavy nucleus of charge Q assumed to have a fixed position. (a) If the aim is perfect, how close to the centre of the nucleus is the particle when it comes instantaneously to rest ? (b) With a particular imperfect aim, the particle's closest approach to nucleus is twicw the distance determined in (a). Determine speed of particle at the closest distance of approach.

A long straight wire carries a current i. A particle having a positive charge q and mass m, kept at distance x_0 from the wire is projected towards it with speed v. Find the closest distance of approach of charged particle to the wire.

A charged particle of charge 'Q' is held fixed and another charged particle of mass 'm' and charge 'q' (of the same sign) is released from a distance 'r'. The impulse of the force exerted by the external agent on the fixed charge by the time distance between 'Q' and 'q' becomes 2 r is

Q:6DTQ Two particles of mass m and 2m carry a charge q each.Initially the heavier particle is at rest on a smooth horizontal plane and the other is projected along the plane directly towards the first from a distance d with speed u.If the closest distance of approach is (3q^(2)d)/(nq^(2)+4 pi varepsilon_(0)u^(2)d) then find the value of n .

A charge "Q" of mass "m" is at rest on a smooth horizontal plane.Another identical particle is projected with a velocity v towards it from long distance then

Two particles of mass m and 2m carry a charge q each.Initially the heavier particle is at rest on a smooth horizontal plane and the other is projected along the plane directly towards the first from a distance d with speed u .If the closest distance of approach is (3q^(2)d)/(nq^(2)+4 pi e_(0)u^(2)d) then find the value of n .

Figure shows a charge +Q clamped at a point in free space. From a large distance another charge particle of charge -q an.d mass m is thrown toward +Q with an impact parameter d as shown with speed v. Find the distance of closest approach of the two particles.

Two identical particles of mass m carry a charge Q , each. Initially one is at rest on a smooth horizontal plane and the other is projected along the plane directly towards first particle from a large distance with speed v. The closest distance of approach be .

A particle of mass m and charge +q approaches from a very large distance towards a uniformly charged ring ofradius Rand charge, mass same as that of particle, with initial velocity v_(0) along the axis of the ring as shown in the figure-1.420. What is the closest distance of approach between the ring and the particle? Assume the space to be gravity free and frictionless :

ALLEN-MISCELLANEOUS-Exercise-05(A)
  1. A thin spherical conducting shell of radius R has a charge q. Another ...

    Text Solution

    |

  2. Two spherical conductors B and C having equal radii and cayying equal ...

    Text Solution

    |

  3. A charge particle 'q' is shot towards another charged particle 'Q' whi...

    Text Solution

    |

  4. Four charges equal to -Q are placed at the four corners of a square an...

    Text Solution

    |

  5. A charged ball B hangs from a silk thread S, which makes an angle thet...

    Text Solution

    |

  6. Two point charges +8q and -2q are located at x=0 and x=L respectively....

    Text Solution

    |

  7. Two thin wire rings each having radius R are placed at distance d apar...

    Text Solution

    |

  8. An electric dipole is placed at an angle of 30^@ to a non-uniform elec...

    Text Solution

    |

  9. Two spherical conductors A and B of radii 1mm and 2mm are separated by...

    Text Solution

    |

  10. An electric charge 10^-3muC is placed at the origin (0, 0) of X-Y co-o...

    Text Solution

    |

  11. Charges are placed on the verticles of a as shown. Let vec(E) be the e...

    Text Solution

    |

  12. The potential at a point x ( measured in mu m) due to some charges sit...

    Text Solution

    |

  13. A thin spherical shell of radius R has charge Q spread uniformly over ...

    Text Solution

    |

  14. A charge Q is place at each of the opposite corners of a square. A cha...

    Text Solution

    |

  15. Statement-1. For a charged particle moving from point P to point Q, t...

    Text Solution

    |

  16. Two points P and Q are maintained at the potentials of 10V and -4V, re...

    Text Solution

    |

  17. Let P(r)=(Q)/(piR^4)r be the charge density distribution for a solid s...

    Text Solution

    |

  18. Charges q is uniformly distributed over a thin half ring of radius R. ...

    Text Solution

    |

  19. Let there be a spherically symmetric charge distribution with charge d...

    Text Solution

    |

  20. Two identical charged spheres are suspended by strings of equal length...

    Text Solution

    |