Home
Class 12
PHYSICS
A solid sphere made out of metal having ...

A solid sphere made out of metal having a bulk modulus of `2xx10^(11)"Mn"^(-2)`is charged uniformly to a surface charge density `sigma=sqrt(alpha epsilon_(0))Cm^(-2)`, where `epsilon_(0)` is the permittivity of free space and `alpha` (magnitude = 1) is a positive constant of appropriate dimensions. If the volume strain produced in the sphere after charging is `x xx 10^(-11)` then the value of x is

Text Solution

Verified by Experts

The correct Answer is:
`0.25`
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 5

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos
  • JEE MOCK TEST 7

    NTA MOCK TESTS|Exercise PHYSICS - Subjective Numerical|5 Videos

Similar Questions

Explore conceptually related problems

Two concentric spheres kept in air have radii R and r. They have similar charge and equal surface charge density sigma . The electrical potential at their common centre is (where, epsi_(0) = permittivity of free space)

Surface charge density of a conducting sphere of a radius 10 cm is 8.85 xx 10^(-8) c//m^(2) . Potential at the centre of the sphere is

Work performed when a point charge 2xx10^(-8)C is transformed from intensity to a point at a distance of 1cm form the surface charge density sigma=10^(-8)C//cm^(2)

A wire of length L= 20 cm is bent into a semicircular arc and the two equal halves of the arc are uniformly charged with charges +Q and -Q as shown in the figure. The magnitude of the charge on each half is |Q| =10^(3) epsilon_(0) , where epsilon_(0) is the permittivity of free the space. The net electric field at the center O is

A uniformly charged sphere carries a total charge of 2 pi xx10^(-12) C. Its radius is 5 cm and is placed in vacuum. Determine its surface charge density.

A sphere of charges of radius R carries a positive charge whose volume chasrge density depends only on the distance r from the ball's centre as rho=rho_0(1-r/R), where rho_0 is constant. Assume epsilon as theh permittivity of space. The magnitude of electric field as a function of the distance r inside the sphere is given by

A sphere of charges of radius R carries a positive charge whose volume chasrge density depends only on the distance r from the ball's centre as rho=rho_0(1-r/R ), where rho_0 is constant. Assume epsilon as theh permittivity of space. The magnitude of the electric field as a functiion of the distance r outside the balll is given by

An electron is placed at the centre of a Conducting sphere of radius 0.2 metre having a charge 5xx10^(-2) coulomb.The force on the electron is

A sphere of radius R_(0 carries a volume charge density proportional to the distance (x) from the origin, rho=alpha x where alpha is a positive constant.The total charge in the sphere of radius R_(0) is

NTA MOCK TESTS-JEE MOCK TEST 6-PHYSICS
  1. A neutron travelling with a velocity v and kinetic energy E collides p...

    Text Solution

    |

  2. A lead bullet strikes a target with velocity of 480 m/s. if the bullet...

    Text Solution

    |

  3. Two beams of light having intensities I and 4I interfere to produce a ...

    Text Solution

    |

  4. A thin spherical shell of radius R is cut into two equal halves and th...

    Text Solution

    |

  5. A point source of light is placed at a distance h below the surface of...

    Text Solution

    |

  6. An ideal gas expands isothermally from volume V(1) to V(2) and is then...

    Text Solution

    |

  7. One end of a copper rod of uniform cross section and length 1.5 m is k...

    Text Solution

    |

  8. A coil having N turns is would tightly in the form of a spiral with in...

    Text Solution

    |

  9. A thin uniform disc (see figure) of mass M has outer radius 4R and in...

    Text Solution

    |

  10. Two uniformaly charged nonconducting spheres, each of radius R,are fix...

    Text Solution

    |

  11. The binding energy per nucleon of deuterium and helium nuclei are 1.1 ...

    Text Solution

    |

  12. A closed tube filled with water is rotating uniformly in a horizontal ...

    Text Solution

    |

  13. The velocity - time graph of a particle of mass 10 kg is shown in the ...

    Text Solution

    |

  14. The maximum and the minimum equivalent resistance obtained by combinin...

    Text Solution

    |

  15. A simple pendulum has time period T(1) The point of suspension is now ...

    Text Solution

    |

  16. What is the energy stored in the capacitor between terminals a and b o...

    Text Solution

    |

  17. A solid sphere made out of metal having a bulk modulus of 2xx10^(11)"M...

    Text Solution

    |

  18. The toy-top (initially at rest) shown in the figure, has a moment of ...

    Text Solution

    |

  19. An open pipe is suddenly closed at one end with the result that the fr...

    Text Solution

    |

  20. The figure below shown a block of mass 15 kg, kept on a rough inclined...

    Text Solution

    |