A) \[1\text{ }km/h\]
B) \[\text{3 }km/h\]
C) \[\text{4 }km/h\]
D) \[\text{5 }km/h\]
Correct Answer: B
Solution :
\[{{\lambda }_{m}}T=b\] \[{{b}^{4}}=\lambda _{m}^{4}{{T}^{4}}\] The dimension of \[\sigma =[M{{T}^{-3}}{{\theta }^{-4}}]\] The dimension of \[{{b}^{4}}=[{{L}^{2}}{{\theta }^{4}}]\] \[\sigma {{b}^{4}}=[M{{T}^{-3}}{{\theta }^{-4}}][{{L}^{4}}{{\theta }^{4}}]\] \[=[M{{T}^{-3}}{{L}^{4}}]\]
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