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 HARMONIC MOTION

    ALLEN |Exercise Exercise-05 [B]|12 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise MCQ s one or more than one correct answers|5 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Exercise-04 [B]|104 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

  • TEST PAPER

    ALLEN |Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional 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: (g = gravitational acceleration)

Figure shows a wire of length 2L and crosssectional area A, stretched horizontally between two clamps. When an object of mass M is suspended from the mid point of the wire, the downward displacement of the young's modulus of the material of the wire is x. Shown that M = (YA x ^(3))/(gL ^(3)) (where theta is small)

Length and cross sectional area of a wire are 5 m and 2.5 mm^(2). Calculate work required to be done to increase its length by 1 mm. Young's modulus of material of wire =2 xx 10 ^(11) Nm ^(-2)

A steel uniform rod of length 2L cross sectional area A and mass Mis set rotating in a horizontal plane about an axis passing through the centre. If Y is the Young's modulus for steel, find the extension in the length of the rod.

A metal wire of uniform cross-sectional area A and length L, has mass m. It is suspended vertically from a ceiling. If its Young's modulus is Y, then the elongation Deltal of wire due to its own weight will be .........

Work done in stretching a wire of length 1 m and of cross-sectional area 1 mm^(2) through 2 mm if Young's modulus of the material of the wire is 2 xx 10 ^(11) N//m^(2) is .......

The graph shows the extension of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross sectional area of the wire is 1mm^(2) , then the young's modulus of the material of the wire is (a). 2xx10^(11)Nm^(-2) (b). 2xx10^(10)Nm^(-2) (c). (1)/(2)xx10^(11)Nm^(-2) (d). none of these

The graph shown the extension of is wire of length 1 m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross sectional area of the wire is 1 mm^(2) , then the Young's modulus of the material of the wire. ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ALN_RACE_R64_E01_001_Q01.png" width="80%"gt

The adjacent graph shows the extension (DeltaI) of a wire of length 1 m suspended from the top of a roof at one end with a load W connected to the other end. If the cross-sectional area of the wire is 10^(-6) m ^(2), calculate The Young's modulus of the material of the wire is ........

The adjacent graph shows the estension (Deltal) of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross-sectional area of the wire is 10^-6m^2 , calculate the Young's modulus of the material of the wire.

ALLEN -SIMPLE HARMONIC MOTION-Exercise-05 [A]
  1. If a simple pendulum has significant amplitude (up to a factor of (1)/...

    Text Solution

    |

  2. An ideal gas enclosed in a cylindrical container supports a freely mov...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. A simple harmonic oscillator of angular frequency 2 "rad" s^(-1) is ac...

    Text Solution

    |

  7. A cylindrical of wood (density = 600 kg m^(-3)) of base area 30 cm^(2)...

    Text Solution

    |

  8. A pendulum with time period of 1s is losing energy due to damping. At ...

    Text Solution

    |

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

    Text Solution

    |

  10. Two particles are in SHM in a straight line about same equilibrium pos...

    Text Solution

    |

  11. In an engine the piston undergoes vertical simple motion with amplitud...

    Text Solution

    |

  12. The bob of a simple pendulum execute simple harmonic motion in water w...

    Text Solution

    |

  13. A 2kg block slides on a horizontal floor with the a speed of 4m//s it ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. A mass M attached to a horizontal spring executes SHM with an amplitud...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |