A) F and v denote force and velocity, the dimensions of C are [MT]
B) x denotes distance, the dimensions of b are [\[L_{{}}^{-1}\]]
C) The dimension of \[\frac{v}{C}\] never be same as F
D) The dimensions of x must be same as \[\frac{v}{cb}\]
Correct Answer: B
Solution :
[b] Logarithm has no dimensions. \[[xb]=[{{M}^{0}}{{L}^{0}}{{T}^{0}}]=>[b]=[{{L}^{-1}}]\] Hence, option [b] is correct.
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