Home
Class 12
PHYSICS
The length of a spring is l and its forc...

The length of a spring is l and its force constant is k . When a weight W is suspended from it, its length increases by x . If the spring is cut into two equal parts and put in parallel and the same weight W is suspended from them, then the extension will be

A

2x

B

x

C

`x/2`

D

`x/4`

Text Solution

Verified by Experts

The correct Answer is:
D
Spring is cut into two equal halves so spring constant of each part = 2k
These parts are in parallel so `K_(eq)=2K+2K=4K`
Extension force (i.e. W) is same hence by using `F=kx rArr 4k xx x'= kx rArr x'=x/4`
Promotional Banner

Topper's Solved these Questions

  • DRILL TEST -1

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|24 Videos

  • DRILL TEST 2

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|42 Videos

Similar Questions

Explore conceptually related problems

The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be:

The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be

The time period of a mass suspended from a spring is T if the spring is cut in to equal part and the same mass is suspended from one of the pert then the time period will be

A block of mass M suspended from a spring oscillates with time period T . If spring is cut in to two equal parts and same mass M is suspended from one part, new period os oscillation is

A massless spring, having force constant k, oscillates with frequency n when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2m is suspended from one half. The frequency of oscillation will now be

A mass m is suspended from a spring of length l and force constant K . The frequency of vibration of the mass is f_(1) . The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is f_(2) . Which of the following relations between the frequencies is correct

One body is suspended from a spring of length l , spring constant k and has time period T , Now if spring is divided in two equal parts which are joined in paralled and the same body is suspended from this arrangements then determine new time period.

A spring has a certain mass suspended from it and its period for vertical oscillation is T. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillation is now

A weightless spring has a force constant k oscillates with frequency f when a mass m is suspended from it The spring is cut into three equal parts and a mass 3 m is suspended from it The frequency of oscillation of one part will now become

NEET MAJOR TEST (COACHING)-DRILL TEST 1-PHYSICS
  1. A weight of 200 kg is suspended by vertical wire of length 600.5 cm. T...

    Text Solution

    |

  2. The P - V diagram of a system undergoing thermodynamic transformation ...

    Text Solution

    |

  3. The length of a spring is l and its force constant is k . When a weigh...

    Text Solution

    |

  4. A source sound is moving with constant velocity of 20m//s emitting a n...

    Text Solution

    |

  5. A body A moves with a uniform acceleration a and zero initial velocity...

    Text Solution

    |

  6. A 2 m long rod of radius 1 cm which is fixed from one end is given a t...

    Text Solution

    |

  7. The temperature of argon, kept in a vessel, is raised by 1^(@)C at a c...

    Text Solution

    |

  8. In figure S(1) andS(1) are identical springs. The oscillation frequenc...

    Text Solution

    |

  9. While measuring acceleration due to gravity by simpe pendulum a studen...

    Text Solution

    |

  10. If the velocity of a particle is given by v=(180-16x)^((1)/(2))(m)/(s)...

    Text Solution

    |

  11. The radius of a soap bubble is increased from (1)/(sqrtpi) cm to (2)/(...

    Text Solution

    |

  12. How many degress of freedom have the gas molecules, if under standard ...

    Text Solution

    |

  13. Two monoatomic ideal gases 1 and 2 of molecular masses m^(1) and m​^(...

    Text Solution

    |

  14. The volume of a sphere is .176 m^3 What will be the volume of 25 such ...

    Text Solution

    |

  15. A ball is projected upwards from a height h above the surface of the e...

    Text Solution

    |

  16. A tank 5 m high is half filled with water and then is filled to top wi...

    Text Solution

    |

  17. When p calories of heat is given to a body, it absorbs q calories, t...

    Text Solution

    |

  18. A wave is represented by the equetion y=7 sin(7pi t-0.04pix+(pi)/(3))...

    Text Solution

    |

  19. At t = 0 a 100gm ball is thrown upwards with initial speed v(0) = 2 m/...

    Text Solution

    |

  20. A block P of mass m is placed on a frictionless horizontal ...

    Text Solution

    |