Question

a metal wire of length 20 cm and diameter 0.2 mm is stretched by a load of 2 kg weight if the density of the material of the wire is 7 upon 8 gram per centimetre cube find the fundamental frequency of vibrations of that wire..​

Answer 1

Answer:

Sonometer wire length l=0.5m

T=Mg=5×9.8N

n=100Hz

n=(21l)mT

100=(21×0.5)m5×9.8

Squaring on both sides,

(100)2=m49

M=100249

M=0.0049kg/m

∴ the linear density of material of wire is 0.0049kg/mi.e.4.9×10−3kg/m