Saved Bookmarks
| 1. |
Deduce formula :frequency proportional to length ,mass and tension |
|
Answer» - DIMRNSIONAL ANALYSISSOLUTIONS Given, frequency is directly proportional to length , mass and TENSION. HENCE, frequency can be written as .........(I)Now, Dimension of L = [L]Dimension of M = [M]Dimension of T = Dimension of f = Now, for the above formula of frequency to be correct, the equation should also be dimensionally correct.There fore ,dimension of LHS = dimension of RHS=> {T}^{ - 1} = => {T}^{ - 1} = Comparing both sides, we get=> a + c = 0 B + c = 0 -2c = -1=> c = 1/2 and a = b = -1/2.putting these values in equation (I)f = K √T/√L√M |
|