the frequency of vibration of string is given by f= p/2l [F/m]1/2 Here p is is the no of segments - Physics - Units And Measurements

Question

the frequency of vibration of string is given by f= p/2l
[F/m]1/2 Here p is is the no of segments in the string
and l is the length What is the dimensional formula of m?

Ankur · Accepted Answer

Given,
ν = p2lF/m1/2
squaring both sides,
ν2 = p24 l2Fmm = p2Fν2 × 4l2   , where F is the force and ν is the frequency
m =
M0 L0 T02 M1 L1 T-2M0 L0 T-12 L2
On solving, we get the dimensions of m =
[M1L-1T0]

the frequency of vibration of string is given by f= p/2l [F/m]1/2.Here p is is the no of segments in the string and l is the length.What is the dimensional formula of m?

the frequency of vibration of string is given by f= p/2l [F/m]^1/2.Here p is is the no of segments in the string and l is the length.What is the dimensional formula of m?