Home
Class 12
PHYSICS
A pendulumd made of a uniform wire of cr...

A pendulumd made of a uniform wire of cross sectional area (A) has time T.When an additionl mass (M) is added to its bob, the time period changes to `T_(M). If the Young's modulus of the material of the wire is (Y) then `1/Y` is equal to:

A

`[1-((T_(M))/T)^(2)](A)/(Mg)`

B

`[1-((T)/(T_(M)))^(2)](A)/(Mg)`

C

`[((T_(M))/(T))^(2)-1](A)/(Mg)`

D

`[(T_(M)/(T))^(2)-1](Mg)/(A)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARONIC MOTION

    MOTION|Exercise EXERCISE -4 (Leve-II)|8 Videos
  • SIMPLE HARONIC MOTION

    MOTION|Exercise EXERCISE -4 (Leve-II) [ JEE 2011]|11 Videos
  • SIMPLE HARONIC MOTION

    MOTION|Exercise EXERCISE -3 (Leve-II) ( SECTION -H ) ( Combination of two or more SHM)|1 Videos
  • SIMPLE HARMONIC MOTION

    MOTION|Exercise EXERCISE -3 Section - B Previous Year Problems | JEE MAIN|23 Videos
  • SOUND WAVES

    MOTION|Exercise Exercise - 3 (Section - B)|14 Videos

Similar Questions

Explore conceptually related problems

A wire 3m long and having cross - sectional area of 0.42m^(2) is found to stretched by 0.2 m under a tension of 1000 N. The value of young's modulus for the material of the wire is

A wire of length L and area of cross-section A, is stretched by a load. The elongation produced in the wire is I. If Y is the Young's modulus of the material of the wire, then the torce corstant of the wire is

The length of a wire is 1.0 m and the area of cross-section is 1.0 xx 10^(-2) cm^(2) . If the work done for increase in length by 0.2 cm is 0.4 joule, then Young's modulus of the material of the wire is

A wire suspended vertically from one of its ends is stretched by attaching a weight of 20 N to its lower end. If its length changes by 1% and if the Young's modulus of the material of the wire is 2 xx 10^(11) N//m^(2) , then the area of cross section of the wire is

When a wire 2 m long and 0.05 cm^(2) in cross-section is stretched by a mass of 2 kg, it increases in length by 0.04 mm. Young's modulus of the material of the wire is (g=10ms^(-2))

If a wire of length 4 m and cross-sectional area of 2 m^(2) is stretched by a force of 3 kN, then determine the change in length due to this force, Given, Young's modulus of material of wire is 110 xx 10^(9) Nm^(-2)

A wire of length l and cross-sectional are A is suspended at one of its ends from a ceiling. What will be its strain energy due to its own weight, if the density and Young's modulus of the material of the wire be d and Y?

A wire of length 10 m and cross-section are 10^(-6) m^(2) is stretched with a force of 20 N. If the elongation is 1 mm, the Young's modulus of material of the wire will be

A wire of 10m long and 1mm^(2) area of cross section is strechted by a force of 20N . If the elongation is 2mm the young's modulus of the material of the wire (in Pa ) is

The increase in energy of a metal bar of length L and cross-sectional area A when compressed with a load M along its length is (where, Y= Young's modulus of the material of metal bar)

MOTION-SIMPLE HARONIC MOTION -EXERCISE -4 (Leve-I)
  1. The bob of a simple pendulum is a spherical hollow ball filled with wa...

    Text Solution

    |

  2. Starting from the origin a body osillates simple harmonicall with a pe...

    Text Solution

    |

  3. The maximum velocity a particle, executing simple harmonic motion with...

    Text Solution

    |

  4. The displacement of an object attached to a spring and executing a sim...

    Text Solution

    |

  5. A particle of mass m executes simple harmonic motion with amplitude a ...

    Text Solution

    |

  6. Two springs of force constants k(1) and k(2), are connected to a mass ...

    Text Solution

    |

  7. A point mass oscillates along the x-axis according to the law x=x(0) c...

    Text Solution

    |

  8. If x, v and a denote the displacement, the velocity and the accelerati...

    Text Solution

    |

  9. A mass M, attached to a horizontal spring, excutes SHM with a amplitud...

    Text Solution

    |

  10. Two particles are executing simple harmonic of the same amplitude (A) ...

    Text Solution

    |

  11. If a spring of stiffness 'k' is cut into two parts 'A' and 'B' of leng...

    Text Solution

    |

  12. A wooden cube (density of wood 'd') of side 'l' flotes in a liquid of ...

    Text Solution

    |

  13. This question has statement 1 and statement 2 . Of the four choice giv...

    Text Solution

    |

  14. If a simple pendulum has significant amplitude (up to a factor of (1)/...

    Text Solution

    |

  15. The amplitude of damped oscillator decreased to 0.9 times its origina...

    Text Solution

    |

  16. A particle moves with simple harmonic motion in a straight line. In fi...

    Text Solution

    |

  17. A pendulumd made of a uniform wire of cross sectional area (A) has tim...

    Text Solution

    |

  18. For a simple pendulum, a graph is plotted between itskinetic energy (K...

    Text Solution

    |

  19. A particle performs simple harmonic mition with amplitude A. Its speed...

    Text Solution

    |

  20. A particle is executing simple harmonic motion with a time period T. A...

    Text Solution

    |