53A sonometer wire of length 0.5 m is stretched by a weight of 5 kg. The fundamental frequency of vibration is 100Hz. Determine the linear density of material of wire. (Ans : 0.0049 kg/m)
Answers
Given :
Sonometer wire length l = 0.5 m
T = Mg = 5 × 9.8 N
n = 100 Hz
n =( 1/2l)√( T / m)
100=(1/2x0.5) √(5x9.8/m)
Squaring on both sides,
(100)²=49/m
M=49/100²
M=0.0049kg/m
∴the linear density of material of wire is 0.0049 kg/m
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53A sonometer wire of length 0.5 m is stretched by a weight of 5 kg. The fundamental frequency of vibration is 100Hz. Determine the linear density of material of wire. (Ans : 0.0049 kg/m)
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Given :
Sonometer wire length l = 0.5 m
T = Mg = 5 × 9.8 N
n = 100 Hz
n =( 1/2l)√( T / m)
100=(1/2x0.5) √(5x9.8/m)
Squaring on both sides,
(100)²=49/m
M=49/100²
M=0.0049kg/m
∴the linear density of material of wire is 0.0049 kg/m