A) \[\frac{3}{2}{{\lambda }_{m}}\]
B) \[\frac{2}{3}{{\lambda }_{m}}\]
C) \[\frac{16}{81}{{\lambda }_{m}}\]
D) \[\frac{81}{16}{{\lambda }_{m}}\]
E) \[\frac{4}{3}{{\lambda }_{m}}\]
Correct Answer: B
Solution :
\[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{{{T}_{2}}}{{{T}_{1}}}\] \[\frac{{{\lambda }_{m}}}{{{\lambda }_{2}}}=\frac{3000}{2000}\] \[\Rightarrow \] \[{{\lambda }_{2}}=\frac{2}{3}{{\lambda }_{m}}\]
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