A) 1.22v
B) 0.61v
C) 1.50v
D) 0.75v
Correct Answer: A
Solution :
[a] According to Hooke's law \[{{F}_{R}}\propto x\] [Restoring force \[{{F}_{R}}=T\], tension of spring] Velocity of sound by a stretched string \[v=\sqrt{\frac{T}{m}}\]where w is the mass per unit length Hence \[v\propto \sqrt{T}\,\,\,\,or\,\,\,\,\frac{v}{v'}=\sqrt{\frac{T}{T'}}\] \[or\,\,\,\,v'=v\sqrt{\frac{T'}{T}}=v\sqrt{\frac{1.5x}{x}}=1.22v\]
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