Home
Class 11
PHYSICS
A solid sphere hung at the lower end of ...

A solid sphere hung at the lower end of a wier is suspended from a fixed point so as to give an elongation of `0.4mm`. When the first solid sphere is replaced by another one made of same material but twice the radius, the new elongation is

A

`0.8mm`

B

`1.6mm`

C

`3.2mm`

D

`1.2mm`

Text Solution

Verified by Experts

The correct Answer is:
C
`e = (F l^(2))/(VY) e alpha V alpha r^(3)`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (C.W)|32 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-III|29 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise C.U.Q|74 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - III|30 Videos

  • MOTION IN A PLANE

    NARAYNA|Exercise Level-II(H.W)|31 Videos

Similar Questions

Explore conceptually related problems

When a metal sphere is suspended at the end of a metal wire, its extension is 0.4 mm. If another metal sphere of the same material with its radius is half of the previous, is suspended then extension would be

A cylindrical rod with one end in a steam chamber and the other end in ice results in melting of 0.1 g of ice per second. If the rod is replaced by another with half the length and double the radius of the first and if the thermal conductivity of material of second rod is 1/4 that of first, the rate at which ice melts in g//s will be

A sphere of radius 10 cm and mass 25 kg is attached to the lower end of a steel wire which is suspended from the ceiling of a room. The point of support is 521 cm above the floor. When the sphere is set swimming as a simple pendulum, its lowest point just grazes the floor. Calculate the velocity of the ball at its lowest position.

A wire of length L and radius r is fixed at one end. When a stretching force F is applied at free end, the elongation in the wire is l . When another wire of same material but of length 2L and radius 2r , also fixed at one end is stretched by a force 2F applied at free end, then elongation in the second wire will be

A sphere of radius 0.1m and mass 8 pi kg is attached to the lower end of a steel wire of length 5.0 m and diameter 10^(-3) . The wire is suspended from 5.22 m high ceiling of a room . When the sphere is made to swing as a simple pendulum, it just grazes the floor at its lowest point. Calculate the velocity of the sphere at the lowest position . Young's modulus of steel is (1.994xx10^(11) N//m^(2)) .

NARAYNA-MECHANICAL PROPERTIES OF SOLIDS-LEVEL-I (C.W)
  1. A metallic rod of radius 2cm and cross sectional area 4cm^(2) is fitte...

    Text Solution

    |

  2. The length of a metal wire is 10cm when the tension in it is 20N and 1...

    Text Solution

    |

  3. A solid sphere hung at the lower end of a wier is suspended from a fix...

    Text Solution

    |

  4. The extension of a wire by application of load is 0.3cm. The extension...

    Text Solution

    |

  5. Two steel wires have equal volumes. Their diameters are in the ratio ...

    Text Solution

    |

  6. An iron wire an copper wire having same length and cross-section are ...

    Text Solution

    |

  7. A steel wire of unifrom cross-section 1 mm^(2) is heated to 70^(@)C an...

    Text Solution

    |

  8. A wire elongastes by 1.0 mm when a load W ils hung from it. If this wi...

    Text Solution

    |

  9. A wire is made of a material of density 10g//cm^(3) and breaking stres...

    Text Solution

    |

  10. A metal cube of side length 8.0cm has its upper surface displacement ...

    Text Solution

    |

  11. The upper end of a wire of radius 4 mm and length 100 cm is clamped an...

    Text Solution

    |

  12. A ball falling in a lake of depth 200 m shows a decrease of 0.1% in i...

    Text Solution

    |

  13. A hydraulic press contains 0.25 m^(3)(250L) of oil. Find the decrease ...

    Text Solution

    |

  14. A material has normal density rho and bulk modulus K. The increase in ...

    Text Solution

    |

  15. The stress required to double the length of wire (r) to produce 100% l...

    Text Solution

    |

  16. A 3cm long copper wire is strechted to increases its length by .3cm. F...

    Text Solution

    |

  17. A unifrom bar of Length 'L' and cross sectional area 'A' is subjected...

    Text Solution

    |

  18. A rod has Poisson's ratio 0.2. If a rod suffers a longtudinal strain ...

    Text Solution

    |

  19. A metallic rod undergoes a strain of 0.5%. The energy stroed per uni...

    Text Solution

    |

  20. A brass rod of cross sectional area 1cm^2 and length 0.2m is compresse...

    Text Solution

    |