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.

Check the accuracy of the relation v=(1)/(2l)sqrt((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 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 correctness of the equation by dimensional analysis. n=1/"2l"sqrt(T/m) , n = frequency, m = mass per unit length, T = tension

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' .

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.

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 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.