Home
Class 11
PHYSICS
Check the accuracy of the equation n =...

Check the accuracy of the equation
`n = (1)/(2l)sqrt((F)/(m))`
where l is the length of the string, m its mass per unit length, F the stretching force and n the frequency of vibration.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • UNIT AND DIMENSIONS

    ANURAG MISHRA|Exercise Exercise|6 Videos

  • UNIT AND DIMENSIONS

    ANURAG MISHRA|Exercise Only one Alternative is Correct|25 Videos

  • RIGID BODY MOTION

    ANURAG MISHRA|Exercise MATCH THE COLUMN|12 Videos

  • WORK AND ENERGY

    ANURAG MISHRA|Exercise Matching types problems|14 Videos

Similar Questions

Explore conceptually related problems

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.

Check the dimensional correctness of the following equations : (i) T=Ksqrt((pr^3)/(S)) where p is the density, r is the radius and S is the surface tension and K is a dimensionless constant and T is the time period of oscillation. (ii) n=(1)/(2l)sqrt((T)/(m)) , when n is the frequency of vibration, l is the length of the string, T is the tension in the string and m is the mass per unit length. (iii) d=(mgl^3)/(4bd^(3)Y) , where d is the depression produced in the bar, m is the mass of the bar, g is the accelaration due to gravity, l is the length of the bar, b is its breadth and d is its depth and Y is the Young's modulus of the material of the bar.

Knowledge Check

  • 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' .

    A
    BCAD
    B
    ABCD
    C
    DCBA
    D
    BADC

  • The frequency upsilon of vibrations of uniform string of length l and stretched with a force F is given by upsilon = (p)/(2l)sqrt((F)/(m)) where p is the number of segments of the vibrating string and m is constant of the string. What is the dimensions of m?

    A
    `[ML^(-1)T^(-1)]`
    B
    `[ML^(-3)T^(0)]`
    C
    `[ML^(-2)T^(0)]`
    D
    `[ML^(-1)T^(0)]`

  • The linear mass density mu of the string is (where, mass of the string = m, length, of the string g = L)

    A
    `m/L`
    B
    mL
    C
    `mL^2`
    D
    `m/L_3`

    • Similar Questions

    Explore conceptually related problems

    Chack the correctness of the relations. (i) escape velocity, upsilon = sqrt((2GM)/(R )) (ii) v =(1)/(2l) sqrt((T)/(m)) , where l is length, T is tension and m is mass per unit length of the string.

    The fundamental frequecy of a stationary wave formed in a stretched wire is n= (1)/(2l) sqrt((1)/(m)) where l is length of the vibrating wire 'T' is the tension in the wire and 'm' is its mas per unit length . If the percentage error in measurement of l T and m are a% ,b% and c% respectively then find the maximum error in measuring 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 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 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

    Home
    Profile