Physics And Measurement Question 216

Question: In order to measure physical quantities in the sub-atomic world, the quantum theory often employs energy [E], angular momentum [J] and velocity [c] as fundamental dimensions instead of the usual mass, length and time. Then, the dimension of pressure in this theory is

Options:

A) [E]4[J]3[c]3

B) [E]2[J][c]

C) [E][J]2[c]2

D) [E]3[J]2[c]2

Show Answer

Answer:

Correct Answer: A

Solution:

[a] [E]=[ML2T2](i)

[J]=[ML2T1] ….. (ii)

[C]=[LT1] ….. (iii)

Solving (i), (ii) and (iii) we get, [EC2]=[M],[JCE]=[L]and[JE]=[T] Now, [Pressure] = [ML1T2]

=[EC2]×[EJC]×[E2J2]=[E]2]J3][C3]



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