Home
Class 12
PHYSICS
The frequency of vibration of string is ...

The frequency of vibration of string is given by `v = (p)/(2 l) [(F)/(m)]^(1//2)`. Here `p` is number of segment is the string and `l` is the length. The dimension formula for `m` will be

A

`[M^(0)LT^(-1)]`

B

`[ML^(0)T^(-1)]`

C

`[ML^(-1)T^(0)]`

D

`[M^(0)L^(0)T^(0)]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The frequency of vibration of string is given by v=p/(2l)[F/m]^(1//2) . Here p is number of segments in the string and l is the length. The dimensional formula for m will be

The frequency (n) of vibration of a string is given as n = (1)/( 2 l) sqrt((T)/(m)) , where T is tension and l is the length of vibrating string , then the dimensional formula is

The mass suspended from the stretched string of a sonometer is 4 kg and the linear mass density of string 4 xx 10^(-3) kg m^(-1) . If the length of the vibrating string is 100 cm , arrange the following steps in a sequential order to find the frequency of the tuning fork used for the experiment . (A) The fundamental frequency of the vibratinng string is , n = (1)/(2l) sqrt((T)/(m)) . (B) Get the value of length of the string (l) , and linear mass density (m) of the string from the data in the problem . (C) Calculate the tension in the string using , T = mg . (D) Substitute the appropriate values in n = (1)/(2l) sqrt((T)/(m)) and find the value of 'n' .

The frequency of vibration of string depends on the length L between the nodes, the tension F in the string and its mass per unit length m. Guess the expression for its frequency from dimensional analysis.

The frequency f of vibration of a string between two fixed ends is proportional to L^(a) T^(b) mu^(c ) , where L is the length of string, T is tension in the string and mu is the linear mass density (or mass per unit length) of string. Find the value of a,b and c.

The frequency of vibration (v) of a string may depend upon length (I) of the string, tension (T) in the string and mass per unit length (m) of the string. Using the method of dimensions, derive the formula for v.

A physical quantity P=B^(2)l^(2)//m where B is the magnetic induction, l is the length and m is the mass. The dimensions of P is

Check the accuracy of the relation v=(1)/(2l)sqert((T)/(m)) ,where v is the frequency, l is legth, T is tension and m is mass per unit legth of the string.

DISHA-PHYSICAL WORLD, UNITS & DIMENSION-Physics
  1. In the formula X = 3Y Z^(2) , X and Z have dimensions of capacitance...

    Text Solution

    |

  2. In the relation p = (a)/(beta) e ^((aZ)/(k theta ), p is pressure Z i...

    Text Solution

    |

  3. The frequency of vibration of string is given by v = (p)/(2 l) [(F)/(m...

    Text Solution

    |

  4. Convert Newton into dyne.

    Text Solution

    |

  5. If the velocity of light (c ) , gravitational constant (G) , and Planc...

    Text Solution

    |

  6. If the constant of gravitation (G) , Planck's constant (h) and the vel...

    Text Solution

    |

  7. A physical quantity which has a direction:-

    Text Solution

    |

  8. The unit of Stefan's constant sigma is

    Text Solution

    |

  9. In S=a+bt+ct^2. S is measured in metres and t in seconds. The unit of ...

    Text Solution

    |

  10. Wavelength of ray of light is 0.00006 m. It is equal to

    Text Solution

    |

  11. The unit of permittivity of free space epsilon(0) is:

    Text Solution

    |

  12. The dimension of ((1)/(2))epsilon(0)E^(2) (epsilon(0) : permittivity o...

    Text Solution

    |

  13. Which of the following pairs is wrong

    Text Solution

    |

  14. A physical quantity x depends on quantities y and z as follows : x = ...

    Text Solution

    |

  15. If the time period (T)of vibration of a liquid drop depends on surface...

    Text Solution

    |

  16. The dimensional formula for Planck's constant (h) is

    Text Solution

    |

  17. Dimensions of permeability are

    Text Solution

    |

  18. A small steel ball of radius r is allowed to fall under gravity throug...

    Text Solution

    |

  19. The van der Waal's equation of state for some gases can be expressed a...

    Text Solution

    |

  20. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |