Home
Class 11
PHYSICS
An elastic spring of unstretched length ...

An elastic spring of unstretched length L and force constant K is stretched by a small length x . It is further stretched by another small length y . The work done in the second stretching is

A

`1/2ky^2`

B

`1/2k(x^2+ y^2)`

C

1/2k(x+y)^2`

D

`1/2ky(2x + y)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    PATHFINDER|Exercise QUESTION BANK|127 Videos

  • GRAVITATION

    PATHFINDER|Exercise QUESTION BANK|222 Videos

Similar Questions

Explore conceptually related problems

An elastic spring of length L and spring constant K is stretched by a length x. It is then again stretched to a length y. The work done in the second case will be

An elastic spring of length L and of force constant k is stretched to increase its length by an amount x. The spring is further stretched to elongate it by y. The amount of work done in stretching the spring in the second case ( x and y are very small) is

An elastic spring of spring constant k is stretched by an amount x from natural length position. Show that its potential energy is 1/2 kx^2

Awire of length L and cross section A is made of material of Young's modulus Y. It is stretched by an amount x. The work done is

A wire of resistance 10 Omega is stretched so that its length is thrice its original length. The new resistance is-

A wire of initial length L and radius r is stretched by a length l. Another wire of same material but with initial length 2L and radius 2r is stretched by a length 2l. The ratio of the stored elastic energy per unit volume in the first and second wire is,

PATHFINDER-ELASTICITY-QUESTION BANK
  1. A uniform wire of cross-sectional area A and Young's modulus Y is stre...

    Text Solution

    |

  2. One end of a uniform wire of length L and of weight W is attached rigi...

    Text Solution

    |

  3. An elastic spring of unstretched length L and force constant K is stre...

    Text Solution

    |

  4. What is the dimension of stress ?

    Text Solution

    |

  5. A rubber cord of cross-sectional area 2cm^2 has a length of 1m. When a...

    Text Solution

    |

  6. Two wires A and B of the same material have their lengths in the ratio...

    Text Solution

    |

  7. A metal bar of length L and area of cross-sectional A is rigidly clamp...

    Text Solution

    |

  8. The Poisson's ratio of a substance is defined

    Text Solution

    |

  9. Two strings of equal lengths and equal cross-sectional area are made o...

    Text Solution

    |

  10. A steel wire of cross-sectional area 3.0xx10^-5m^-2 stretches by the s...

    Text Solution

    |

  11. A uniform wire (Young's modulus 2xx10^11 Nm^-2) is subjected to a long...

    Text Solution

    |

  12. The length of an elastic string is 'a ' meter when the longitudinal t...

    Text Solution

    |

  13. An elastic rod will change its length when it

    Text Solution

    |

  14. A metal wire of length 'L' area of cross-section 'A' and Young's modul...

    Text Solution

    |

  15. The wire A and B as shown in figure are made of teh same material and ...

    Text Solution

    |

  16. A metal wire of length L is suspended vertically from a rigid support ...

    Text Solution

    |

  17. When a wire is stretched to double its length

    Text Solution

    |

  18. The elongation in the rod due to its own weight will be

    Text Solution

    |

  19. What will be the Young's modulus of the rod

    Text Solution

    |

  20. For which range, during unloading the above curve will be retraced ?

    Text Solution

    |