A) \[m=1,\text{ }n=1\]
B) \[m=1,\text{ }n=2\]
C) \[m=2,\text{ }n=1\]
D) \[m=2,\text{ }n=2\]
Correct Answer: B
Solution :
Position \[x=k{{a}^{m}}{{t}^{n}}\] Writing the dimensions on both sides \[[{{M}^{0}}L{{T}^{0}}]={{[L{{T}^{-2}}]}^{m}}\,{{[T]}^{n}}\] \[=[{{M}^{0}}{{L}^{m}}{{T}^{-2m+n}}]\] On comparing both sides \[m=1\] \[-\,2m+n=0\] \[n=2\,m\] \[=2\times 1=2\]You need to login to perform this action.
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