Physics And Measurement Question 157

Question: The dimensions of universal gas constant is?

[Pb. PET 2003]

Options:

A) $ [ML^{2}{{T}^{-2}}{{\theta }^{-1}}] $

B) $ [M^{2}L{{T}^{-2}}\theta ] $

C) $ [ML^{3}{{T}^{-1}}{{\theta }^{-1}}] $

D) None of these

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Answer:

Correct Answer: A

Solution:

$ \because R=\frac{PV}{T} $

$ =[ \frac{M{{L}^{-1}}{{T}^{-2}}\times L^{3}}{\theta } ]=[ML^{2}{{T}^{-2}}{{\theta }^{-1}}] $



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