A) \[\frac{3}{2}{{\lambda }_{m}}\]
B) \[\frac{2}{3}{{\lambda }_{m}}\]
C) \[\frac{4}{9}{{\lambda }_{m}}\]
D) \[\frac{9}{4}{{\lambda }_{m}}\]
Correct Answer: B
Solution :
\[{{\lambda }_{{{m}_{2}}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\times {{\lambda }_{{{m}_{1}}}}\]\[=\frac{2000}{3000}\times {{\lambda }_{{{m}_{1}}}}=\frac{2}{3}{{\lambda }_{{{m}_{1}}}}=\frac{2}{3}{{\lambda }_{m}}\]
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