Physics And Measurement Question 187

Question: If $ F=\frac{v}{C\ln (xb)} $ , then

Options:

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} $

Show Answer

Answer:

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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