Home
Class 11
PHYSICS
The frequency of vibration of string is ...

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

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

The correct Answer is:
C

`m` is mass per unit length.
Promotional Banner

Topper's Solved these Questions

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Assertion and reason|15 Videos
  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Match the column|6 Videos
  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Check Point 1.3|10 Videos
  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos
  • VECTORS

    DC PANDEY|Exercise Medical enrances gallery|9 Videos

Similar Questions

Explore conceptually related problems

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

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

[M^1 L^2 T^(-2)] is dimensional formula of

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 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.

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 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.

[M^(1) L^(2) T^(-3) A^(-2)] si the dimensional formula of:

DC PANDEY-UNITS, DIMENSIONS & ERROR ANALYSIS -Chapter exercises (taking it together)
  1. Velocity v is given by v=at^(2)+bt+c, where t is time. What are the di...

    Text Solution

    |

  2. The square root of the product of inductance and capacitance has the d...

    Text Solution

    |

  3. The frequency of vibration of string is given by v=p/(2l)[F/m]^(1//2)....

    Text Solution

    |

  4. The numbers 2.745 and 2.735 on rounding off to 3 significant figures w...

    Text Solution

    |

  5. The mass and volume of a body are 4.237 g and 2.5cm^(3) respectively. ...

    Text Solution

    |

  6. The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, ...

    Text Solution

    |

  7. Which of the following pairs of physical quantites does not have same ...

    Text Solution

    |

  8. Measure of two quantites along with the precision of respective measur...

    Text Solution

    |

  9. Which of the following measurement is most precise?

    Text Solution

    |

  10. The mean length of an object is 5cm. Which of the following measureme...

    Text Solution

    |

  11. Young's modulus of steel is 1.9xx10^(11) N//m^2 When expressed is CGS ...

    Text Solution

    |

  12. If the energy ( E) ,velocity (v) and force (F) be taken as fundamental...

    Text Solution

    |

  13. If "force" F, "length" L and "time T" are taken as fundamental units ...

    Text Solution

    |

  14. From the dimensional consideration, which of the following equation is...

    Text Solution

    |

  15. If voltage V=(100pm5) V and current I=(10pm0.2) A, the percentage err...

    Text Solution

    |

  16. A wire has a mass (0.3+-0.003)g, radius (0.5+-0.005)mm and length (6+-...

    Text Solution

    |

  17. If x=10.0pm0.1 and y=10.0pm0.1, then 2x-2y is equal to

    Text Solution

    |

  18. The dimensional formula for molar thermal capacity is same as that of

    Text Solution

    |

  19. Dimensions of ohm are same as that of (where h is Planck's constant an...

    Text Solution

    |

  20. The equation of state of some gases can be expressed as (P + (a)/(V^(2...

    Text Solution

    |