A wire is in unison with a fork of frequency 250 Hz. When stretched by a weight hanging vertically. On immersing the weight in water, the wire produces ten beats per second with the same fork. Calculate density of material of weight, if density of water is one g per cc. (Ans : 12.76 g/cc)
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Given :
When wire is stretched by a weight hanging vertically,
n1 = 250 Hz
, Frequency of wire when the weight is immersed in water producing 10 beats per second = n2
∴ n2 = n1 – 10 = 250 – 10 = 240 Hz
ρ w = 1 g/cc
n1/n2=√(ρ/ (ρ-1)
250/240=√[ρ/ (ρ-1)]
25/24= √ρ/ (ρ-1)
Squaring on both sides=
625/576= ρ/ (ρ-1)
625(ρ-1)=576 ρ
625 ρ-576 ρ=625
49 ρ=625
Ρ=625/49
=12.76g/cm3
Answered by
0
Answer:
Given :
When wire is stretched by a weight hanging vertically,
n1 = 250 Hz
, Frequency of wire when the weight is immersed in water producing 10 beats per second = n2
∴ n2 = n1 – 10 = 250 – 10 = 240 Hz
ρ w = 1 g/cc
n1/n2=√(ρ/ (ρ-1)
250/240=√[ρ/ (ρ-1)]
25/24= √ρ/ (ρ-1)
Squaring on both sides=
625/576= ρ/ (ρ-1)
625(ρ-1)=576 ρ
625 ρ-576 ρ=625
49 ρ=625
Ρ=625/49
=12.76g/cm3
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