Home
Class 11
PHYSICS
10^(12)alpha- particles (Nuclei of heliu...

`10^(12)alpha`- particles (Nuclei of helium) per second falls on a neutral sphere, calculate time in which sphere gets charged by `2mu C`.

Text Solution

Verified by Experts

Number of `alpha`-particles falling in t second `=10^(12) t`
Charge on `alpha`-particle `=+ 2e`, So charge incident in time `t =(10^(12)t).(2e)`
`:'` Give charge is `2 mu C" " :. 2xx10^(-6)=(10^(12)t)/(1.6xx10^(-19))=6.25 s`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-01|87 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Question|1 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 radioactive source, in the form of a metallic sphere of radius 10^(-2)m emits beta- particles at the rate of 5xx10^(10) particles per second. The source is electrically insulated. How long will it take for its potential to be raised by 2V , assuming that 40% of the emitted beta- particles escape the source.

A spherical capacitor has an inner sphere of radius 12 cm and an outer sphere of radius 13 cm. The outer sphere is earthed and the inner sphere is given a charge of 2.5 muC . The space between the concentric spheres is filled with a liquid of dielectric constant 32. (a) Determine the capacitance of the capacitor. (b) What is the potential of the inner sphere ? (c) Compare the capacitance of this capacitor with that of an isolated sphere of radius 12 cm.Explain why the later is much smaller ?

The number of alpha particles emitted per second by 1g of 88^226 Ra is 3.7 times 10^10 . The decay constant is :

A particle has a charge of +10^(-12)C . (a) Does it contain more or less number of electrons as compared to the netual state? (b) Calculate the number of electrons transferred to provide this charge.

A radioavtive source in the form of a metal sphere of daimeter 10^(-3) m emits beta -particles at a constant rate of 6.25 xx 10^(10) particles per second. If the source is electrically insulated, how long will it take for its potential to rise by 1.0 V , assuming that 80% of the emitted beta -particles escape the socurce?

Two insulated charges conducting spheres of radii 20 cm and 15 cm respectively and having an equal charge of 10 mu C are connected by a copper wire and then they are separated . Then (1) Both spheres will have equal charges. (2) Surface charges density on the 20 cm sphere will be greater than that on the 15 cm sphere (3) Surface charge density on the 15 cm sphere will greater than that on the 20 cm sphere (4) Surface charge density on the two spheres will be equal.

A spherical capacitor has the inner sphere of radius 2 cm and the outerone of 4 cm . If the inner sphere is earthed and the outer one is charged with a charge of 2muC and isolated. Calculate ltbr. (a) the potential to which the outer sphere is raised. (b) the charge retained on the outer surface of the outer sphere.

Two conducting spheres of radii 6 km and 12 km each, having the same charge 3xx10^(-8)C , are kept very far apart. If the spheres are connected to each other by a conductiong wire, find i. the direction and amount of charge transferred and ii. final potential each sphere.

A small sphere of mass m = 0.5 kg carrying a positive charge q = 110 mu C is connected with a light, flexible, and inextensible string of length of length r = 60 cm and whirled in a vertical circle. If a vertically upward electric field of strength E = 10^5 NC^-1 exists in the space, calculate the minimum velocity of the sphere required at the highest point so that it may just complete the circle (g = 10 ms^-2) .

The nucleus of an atom of ._(92)Y^(235) initially at rest decays by emitting an alpha particle. The binding energy per nucleon of parent and daughter nuclei are 7.8MeV and 7.835MeV respectively and that of alpha particles is 7.07MeV//"nucleon" . Assuming the daughter nucleus to be formed in the unexcited state and neglecting its share of energy in the reaction, calculate speed of emitted alpha particle. Take mass of alpha particle to be 6.68xx10^(-27)kg .

ALLEN-MISCELLANEOUS-Part -II Example
  1. A particle of mass m is located in a region where its potential energy...

    Text Solution

    |

  2. When a piece of polythene is rubbed with wool, a charge of -2xx10^(-7)...

    Text Solution

    |

  3. 10^(12)alpha- particles (Nuclei of helium) per second falls on a neutr...

    Text Solution

    |

  4. If the distance between two equal point charges is doubled and their i...

    Text Solution

    |

  5. A particle of mass m carrying charge q(1) is revolving around a fixed ...

    Text Solution

    |

  6. The force of repulsion between two point charges is F, when these are ...

    Text Solution

    |

  7. For the system shown below, the value of Q for which resultant force o...

    Text Solution

    |

  8. Two identical charged sphere are suspended by strings of equal length....

    Text Solution

    |

  9. Given a cube with point charges q on each of its vertices. Calculate t...

    Text Solution

    |

  10. Five point charge each of value +q are placed on five vertices of a re...

    Text Solution

    |

  11. Calculate the electric field at origin due to infinite number of charg...

    Text Solution

    |

  12. A charges particles particle is kept in equilibrium in the electric fi...

    Text Solution

    |

  13. Calculate the electric field intensity E which would be just sufficien...

    Text Solution

    |

  14. If a point charge q is placed at the centre of a cube. What is the f...

    Text Solution

    |

  15. A point charge Q is placed at one corner of a cube. Find flux passing ...

    Text Solution

    |

  16. Figure shows a closed dotted surface which intersects a conduccting un...

    Text Solution

    |

  17. Consider a uniform electric field E = 3 xx 10^(3) hat(i)N//C. (ii)...

    Text Solution

    |

  18. Find the electric field due to an infinitely long cylindrical charge d...

    Text Solution

    |

  19. A point charge of 0.009 mu C is placed at origin. Calculate intensit...

    Text Solution

    |

  20. A proton moves with a speed of 7.45xx10^(5) m//s dirctly towards a fre...

    Text Solution

    |