A) 4
B) 6
C) 8
D) 12
Correct Answer: C
Solution :
Key Idea: According to law of length \[\left[ {{M}^{0}}L{{T}^{-1}} \right]\] The frequency of tuning fork is given by \[\left[ {{M}^{0}}{{L}^{-1}}{{T}^{0}} \right]\] where I is length of string, T is tension and m is mass per unit length of string. Given, \[\left[ {{M}^{0}}LT \right]\] \[\frac{3}{2}m{{R}^{2}}\] \[\frac{2}{3}m{{R}^{2}}\] \[\frac{5}{4}m{{R}^{2}}\] Also number of beats per second (beat frequency) \[\frac{4}{5}m{{R}^{2}}\] difference of the frequencies of sound-sources. \[4.58\times {{10}^{-6}}J/{{m}^{3}}\]
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