Home
Class 11
PHYSICS
The springs shown are identical. When A...

The springs shown are identical. When A =4 kg , the elongation of spring is 1 cm . If B = 6kg , the elongation produced by it is

A

4 cm

B

3 cm

C

2 cm

D

1 cm

Text Solution

Verified by Experts

The correct Answer is:
B
`F=kx implies mg=kx implies m prop kx`
`(m_(1))/(m_(2))=(k_(1))/(k_(2)) xx (x_(1))/(x_(2)) implies (4)/(6)=(k)/(k//2)xx(1)/(x_(2))`
`implies x_(2)=3cm`.
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Superposition of S.H.M.s and Resonance)|7 Videos

  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise PAST YEARS QUESTIONS|28 Videos

  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Simple Pendulum)|27 Videos

  • ROTATIONAL MOTION

    ERRORLESS|Exercise Assertion & Reason|25 Videos

  • SURFACE TENSION

    ERRORLESS|Exercise ASSERTION & REASON|11 Videos

Similar Questions

Explore conceptually related problems

In the previous problem , the maximum elongation of the spring is

A block of mass 5 kg having charge q is attached to a spring of constant K = 10^(4) N//m . A charge -q is placed below the block at separation 0.5 m . If the maximum elongation of spring is 0.5 m . If the maximum elongation of spring is 0.1 m , find q . Assume the initial elongation of spring is zero.

A spring is made of material of Young's modulus 10^(11)N//m^(2) . When a weight of 10 kg is suspended vertically the elongation produced in the spring is 4 mm. If the load is reduced to half the elongation in the spring will be

Two identicle particles A and B, each of mass m, are interconnected by a spring of stiffness k. If particle B experiences a forec F and the elongation of the spring is x, the acceleration of particle B relative to particle A is equal to

A block of 2 kg is suspended from the ceiling trhough a massless spring of spring constant k=100 N/m. What is the elongation of the spring? If another 1 kg is dded to the block, what would be the further eleongation?

Two springs have their force constants in the ratio of 3:4 . Both the springs are stretched by applying equal force F. If elongation in first spring is x then elogation is second spring is

A vessel filled with water is kept on a weighing pan and the scale adjusted to zero. A block of mass 10 kg is suspended by a massless spring of spring constant k=100N//m . This block is submerged inside into the water in the vessel such that elongation i spring is x=10cm . What is the reading of the scale?

A body of mass m is tied to one end of a spring and whirled round in a horizontal circle with a constant angular velocity .The elongation is 1 cm . If the angular velocity is doubled , the elongation in the spring is 5 cm. what is the original length of the spring ?

A point mass m = 20 kg, is suspended by a massless spring of constant 2000 N/M. The point mass is released when elongation in the spring is 15 cm. The equation of displacement of particle as a function of time is ( Take g = 10 m//s^2 )

ERRORLESS-SIMPLE HARMONIC MOTION-NCERT BASED QUESTIONS (Spring Pendulum)
  1. An ideal spring with spring constant K = 200 N / m is fixed on one end...

    Text Solution

    |

  2. A body of mass 0.01 kg executes simple harmonic motion (SHM) about x=0...

    Text Solution

    |

  3. The springs shown are identical. When A =4 kg , the elongation of spr...

    Text Solution

    |

  4. Two masses m1 and m2 are suspended together by a massless spring of co...

    Text Solution

    |

  5. A small mass m attached to one end of a spring with a negligible mass ...

    Text Solution

    |

  6. One end of a spring of force constant k is fixed to a vertical wall an...

    Text Solution

    |

  7. Three masses 700g, 500g, and 400 g are suspended at the end of a sprin...

    Text Solution

    |

  8. A mass m is suspended from the two coupled springs connected in series...

    Text Solution

    |

  9. As shown in figure, a simple harmonic motion oscillator having identic...

    Text Solution

    |

  10. What will be the force constant of the spring system shown in the figu...

    Text Solution

    |

  11. Two spring of spring constant k(1) and k(2) are joined in series The e...

    Text Solution

    |

  12. A weightless spring of length 60 cm and force constant 200 N/m is kept...

    Text Solution

    |

  13. A mass m is suspended from a spring of length l and force constant K ....

    Text Solution

    |

  14. A mass m is suspended separately by two different springs of spring co...

    Text Solution

    |

  15. Two identical balls A and B each of mass 0.1 kg are attached to two id...

    Text Solution

    |

  16. A particle of mass 'm' is attached to three identical springs A,B and ...

    Text Solution

    |

  17. A particle oscillating under a force vecF=-kvecx-bvecv is a (k and b a...

    Text Solution

    |

  18. The equation of a damped simple harmonic motion is m(d^2x)/(dt^2)+b(dx...

    Text Solution

    |

  19. A simple pendulum is set into vibrations. The bob of the pendulum come...

    Text Solution

    |

  20. A block off mass 200 g executing SHM under the unfluence of a spring o...

    Text Solution

    |