Question

Find the correctness of the following v=1/2l× square root T/m

Answer 1

Answer:

In thin string of length L, bound tightly at its two ends, transverse waves can be created.  Let the tension in the string be T and  mass per unit length be m.

  frequency of oscillation (SHM) = f = 1/2L  * √(T/m)

one can use the dimensional analysis:  

f = [ T⁻¹ ]

L = [ L ]

T = force = [ M L T⁻² ]

m = [ M L⁻¹ ]

so RHS = [ T⁻¹ ] = LHS.

Explanation:

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