Home
Class 11
PHYSICS
A bullet of mass m and charge q is fired...

A bullet of mass m and charge q is fired towards a solid uniformly charge sphere of radius R and total charge +q. If it strikes the surface of sphere with speed u, find the minimum value of u so that it can penetrate through the sphere. (Neglect all resistance force or friction acting on bullet except electrostatic forces)

A

`(q)/(sqrt(2pi epsilon_(0)mR))`

B

`(q)/(sqrt(4pi epsilon_(0)mR))`

C

`(q)/(sqrt(8pi epsilon_(0)mR))`

D

`(sqrt(3)q)/(sqrt(4pi epsilon_(0)mR))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Comprehension|36 Videos

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Matrix Matching|2 Videos

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Integer|17 Videos

  • ELASTICITY

    DC PANDEY ENGLISH|Exercise Medical entrances s gallery|21 Videos

  • EXPERIMENTS

    DC PANDEY ENGLISH|Exercise Subjective|15 Videos

Similar Questions

Explore conceptually related problems

A positive charge Q is uniformly distributed throughout the volume of a dielectric sphere of radius R. A point mass having charge +q and mass m is fired toward the center of the sphere with velocity v from a point at distance r (r gt R) from the center of the sphere. Find the minimum velocity v so that it can penetrate (R//2) distance of the sphere. Neglect any resistance other than electric interaction. Charge on the small mass remains constant throughout the motion.

A particle of mass m and charge -q moves diametrically through a uniformily charged sphere of radius R with total charge Q. The angular frequency of the particle's simple harminic motion, if its amplitude lt R, is given by

Figure shows a uniformly charged sphere of radius R and total charge Q. A point charge q is situated outside the sphere at a distance r from centre of sphere. Find out the following : (i) Force acting on the point charge q due to the sphere. (ii) Force acting on the sphere due to the point charge.

In a solid uniformly charged sphere of total charge Q and radius R, if energy stored out side the sphere is U_(0) joules then find out self energy of sphere in term of U_(0) ?

A solid insulating sphere of radius R is given a charge Q. If at a point inside the sphere the potential is 1.5 times the potential at the surface, this point will be

A uniformly charged solid sphere a mass M, radius R having charge Q is rotated about its diameter with frequency f_0 . The magnetic moment of the sphere is

An unchanged conducting sphere of radius R is placed near a uniformly charge ring of radius R. Total charge on ring is Q. The centre of sphere lies on axis of ring and distance of centre of sphere from centre of ring is R

Let P(r)=(Q)/(piR^4)r be the charge density distribution for a solid sphere of radius R and total charge Q. For a point 'p' inside the sphere at distance r_1 from the centre of the sphere, the magnitude of electric field is:

A charge +Q is uniformly distributed in a spherical volume of radius R. A particle of charge +q and mass m projected with velocity v_0 the surface of the sherical volume to its centre inside a smooth tunnel dug across the sphere. The minimum value of v_0 such tht it just reaches the centre (assume that thee is no resistance on the particle except electrostatic force) of he sphericle volume is

Flux passing through the shaded surface of a sphere when a point charge q is placed at the center is (radius of the sphere is R)

DC PANDEY ENGLISH-ELECTROSTATICS-JEE Advanced
  1. A capacitor is filled with an insulator and a certain potential differ...

    Text Solution

    |

  2. The potential difference between points A and B is

    Text Solution

    |

  3. A, B, C, D, P, and Q are points in a uniform electric field. The poten...

    Text Solution

    |

  4. The dipole moment of a system of charge +q distribyted uniformly on a...

    Text Solution

    |

  5. There are four concentric shells A,B, C and D of radii a,2a,3a and 4a ...

    Text Solution

    |

  6. Two capacitor having capacitances 8muF and 16 muF have breaking voltag...

    Text Solution

    |

  7. Three plates A,B and C each of area 0.1m^(2) are separated by 0.885 mm...

    Text Solution

    |

  8. A capacitor of capacitance C is initially charged to a potential diffe...

    Text Solution

    |

  9. A capacitor stores 60muC charge when connected across a battery. When ...

    Text Solution

    |

  10. A charged capacitor is allowed to discharged through a resistor 2 Omeg...

    Text Solution

    |

  11. A capacitor C=100 muF is connected to three resistor each of resistanc...

    Text Solution

    |

  12. A charged particle of charge 'Q' is held fixed and another charged par...

    Text Solution

    |

  13. In a regular polygon of n sides, each corner is at a distance r from t...

    Text Solution

    |

  14. A bullet of mass m and charge q is fired towards a solid uniformly cha...

    Text Solution

    |

  15. In the circuit shown, switch Sis closed att=O. Let i(1) and i(2) be th...

    Text Solution

    |

  16. A capacitor of capacitance C is allowed to discharge through a resista...

    Text Solution

    |

  17. A capacitor of capacitance 3muF is first charged by connecting it acro...

    Text Solution

    |

  18. A capacitor of capacitance 6 mu F and initial charge 160 muC is connec...

    Text Solution

    |

  19. In the given circuit the quantity of charge that flows to ground long ...

    Text Solution

    |

  20. A large sheet carries uniform surface charge density sigma . A rod of ...

    Text Solution

    |