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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    TARGET PUBLICATION|Exercise Evaluation test|14 Videos
  • ELASTICITY

    TARGET PUBLICATION|Exercise Critical Thinking|54 Videos
  • CURRENT ELECTRICITY

    TARGET PUBLICATION|Exercise Evaluation Test|6 Videos
  • ELECTROMAGNETIC INDUCTION

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 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)

TARGET PUBLICATION-ELASTICITY-Competitive Thinking
  1. The increase in energy of a metal bar of length L and cross-sectional ...

    Text Solution

    |

  2. A stretching wire has a Young's modulus Y and energy density E. The st...

    Text Solution

    |

  3. When a long spring is stretched by 2cm, its potential energy is U. If ...

    Text Solution

    |

  4. Energy density of wire is 0.25 J//m^(3), when its extension is 0.2 cm....

    Text Solution

    |

  5. The energy stored per unit volume in copper wire, which produces longi...

    Text Solution

    |

  6. When a rubber bandis streched by a distance x , if exerts resuring fop...

    Text Solution

    |

  7. Two, spring P and (Q) of force constants K(p) and k(Q)(k(Q)=(kp)/2)are...

    Text Solution

    |

  8. Two wires having same length and material are stretched by same force....

    Text Solution

    |

  9. Coefficient of linear expansion of brass and steel rods are alpha(1) a...

    Text Solution

    |

  10. A string of length L and force constant k is stretched to obtain exten...

    Text Solution

    |

  11. A metal rod of length l, cross-sectional area A, Young's modulus Y and...

    Text Solution

    |

  12. A metal rod of length 'L' and cross-sectional area 'A' is heated ...

    Text Solution

    |

  13. An external pressure P is applied on a cube at 0^(@)C so that it is eq...

    Text Solution

    |

  14. A lift of mass 'm' is connected to a rope which is moving upward w...

    Text Solution

    |

  15. One end of a horizontal thick copper wire of length 2L and radius 2R i...

    Text Solution

    |

  16. A thick rope of density rho and length L is hung from a rigid support....

    Text Solution

    |

  17. A wire elongates by l mm when a load W is hanged from it. If the wire ...

    Text Solution

    |

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

    Text Solution

    |

  19. Two rods of different materials having coefficients of thermal expansi...

    Text Solution

    |

  20. The stress along the length of a rod with rectangular cross section) i...

    Text Solution

    |