A) \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{25}{16}\]
B) \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{16}{25}\]
C) \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{5}{4}\]
D) \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{4}{5}\]
Correct Answer: A
Solution :
Beat frequency \[{{v}_{1}}-{{v}_{0}}=4\] ?(i) \[{{v}_{2}}-{{v}_{0}}=6\] ?(ii) \[\Rightarrow \,\,\,\,\,\,{{v}_{2}}-{{v}_{1}}=2\] ?(iii) Also, \[v=\frac{1}{4\ell }\sqrt{\frac{\ell RT}{M}}\] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\] ?(iv) By solving above expression \[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{5}{4} \right)}^{2}}=\frac{15}{16}\]You need to login to perform this action.
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